What is equal to 10 dm. Units of length

In this lesson, you will learn about the second unit of length - the decimeter. You will repeat what a centimeter is, learn about the relationship between these two units of measurement, learn how to correctly write down a new measurement value. You will have the opportunity to practice comparing different lengths and calculate them.

In this lesson, we will consider the second unit of length, which is called decimeter.

Let's take a look at the measurements. The figure shows a line segment and three measures different lengths: red, yellow and green. (Fig. 1)

Rice. one

Count how many times each measure fits into the segment. (Fig. 2)

Rice. 2

The red measure fits into the segment 2 times, yellow - 3 times, green - 4 times. Why are there different results? We took measures of different lengths.

In the old days, people faced the same problem when measuring length, so single generally accepted units of length were introduced. What common measure do you already know? Centimeter. With this generally accepted measure, we measure the length of the segment (Fig. 3)

Rice. 3

The measure is stacked six times.

We conclude: the length of the segment is 6 cm.

Using a 1 cm measure, measure the length of the second segment. (Fig. 4)

Rice. 4

A measure of 1 cm is too small for large segments. You need to take more. To get it, you need to take a measure of 1 cm and set it aside 10 times. (Fig. 5)

Rice. 5

We set aside 10 cm. People agreed to call this new unit of length decimeter. Decimeter is translated as "a tenth of a meter". Written like this - 1 dm.There are ten centimeters in one decimeter.(Fig. 6)

Rice. 6

Using a new measure, measure the length of a large segment. (Fig. 7)

Rice. 7

The measure is taken three times.

Conclusion: the length of the segment is 3 dm.

How many centimeters is this? Convert decimeters to centimeters.

The number 10 is a dozen units, 1 dm is 10 cm. 3 dm is three tens of centimeters.

3dm = 10 cm + 10 cm + 10 cm = 30 cm.

So 3 dm = 30 cm.

Convert centimeters to decimetres.

70 cm - how many decimeters is it? 70 cm is 7 tens of centimeters

70 cm = 7 dm.

Determine the length of the segment and express it in decimeters and centimeters. The length of the segment is determined by the ruler. (Fig. 8)

Rice. eight

The length of the segment is 13 cm.

The length of the segment is 13 cm.

13 cm = 1 dm 3 cm.

Practice comparing the new unit of length.

1. 2 dm and 5 dm;

2 dm< 5 дм

2. 1 dm 8 cm and 1 dm 7 cm

The first parts are the same:

1 dm 8 cm and 1 dm 7 cm;

1 dm 8 cm > 1 dm 7 cm.

Perform addition and subtraction with units of length. (Fig. 9)

Rice. nine

The solution of the examples is shown in the figure. (Fig. 10)

Rice. ten

At the beginning of the lesson, you learned that a decimeter is needed to measure large segments. Look at the pictures and determine which objects are more convenient to measure in decimeters. (Fig. 11)

Rice. eleven

It is more convenient to measure a bench and boards in decimeters.

Task for the curious: draw 1 dm in a notebook in a cell and count how many cells fit into 1 dm.

In this lesson, we learned about the second unit of length, which is called the decimeter. We learned that there are 10 centimeters in one decimeter, learned how to correctly write down a new measurement value, learned how to compare different lengths and calculate it.

Bibliography

1. Aleksandrova L.A., Mordkovich A.G. Mathematics 1st grade. - M: Mnemosyne, 2012.
2. Bashmakov M.I., Nefedova M.G. Mathematics. 1 class. - M: Astrel, 2012.
3. Bedenko M.V. Mathematics. 1 class. - M7: Russian word, 2012.

1. 900igr.net().
2. slideshare.net().
3. 900igr.net().

Homework

1. What is a decimeter? How to abbreviate decimeter? What is a decimeter?

2. Determine the length of the segments and express it in decimeters and centimeters

3. Perform addition and subtraction with units of length.

1. 1 dm + 3 dm =

2. 4 dm 3 cm + 2 cm =

3. 6 dm 7 cm - 2 dm =

Length and Distance Converter Mass Converter Bulk Solids and Food Volume Converter Area Converter Volume and Units Converter in recipes Temperature Converter Pressure, Stress, Young's Modulus Converter Energy and Work Converter Power Converter Force Converter Time Converter Converter linear speed Flat Angle Heat Efficiency and Fuel Efficiency Converter Number Converter in Different Number Systems Converter of Information Quantity Measurement Units Currency Rates Dimensions women's clothing and footwear Sizes of men's clothing and footwear Sizes of men's clothing and footwear Angular velocity and rotational speed converter Acceleration converter Angular acceleration converter Density converter Specific volume converter Moment of inertia converter Moment of force converter Torque converter Specific heat of combustion (by mass) Converter of energy density and specific heat of combustion of fuel (by mass) Temperature difference converter Thermal expansion coefficient converter Thermal resistance converter Thermal conductivity converter concentration in solution Dynamic (Absolute) Viscosity Converter Kinematic Viscosity Converter Converter surface tension Vapor Permeability Converter Vapor Permeability and Vapor Transfer Rate Converter Sound Level Converter Microphone Sensitivity Converter Sound Pressure Level (SPL) Converter Sound Pressure Level Converter with Selectable Reference Pressure Brightness Converter Luminous Intensity Converter Illuminance Converter Computer Graphics Resolution Converter Frequency and Wavelength Converter Optical Power in diopters and focal length Power in diopters and lens magnification (×) Converter electric charge Linear Charge Density Converter Converter surface density Charge Bulk Charge Density Converter Converter electric current Linear Current Density Converter Surface Current Density Converter Electric Field Strength Converter Electrostatic Potential and Voltage Converter Electrical Resistance Converter Electrical Resistivity Converter Electrical Conductivity Converter Electrical Conductivity Converter Capacitance Inductance Converter US Wire Gauge Converter dBV), watts, etc. units Magnetomotive Force Converter Strength Converter magnetic field Converter magnetic flux Magnetic Induction Converter Radiation. Absorbed Dose Rate Converter ionizing radiation Radioactivity. Radioactive Decay Converter Radiation. Exposure Dose Converter Radiation. Absorbed Dose Converter Decimal Prefix Converter Data Transfer Typographic and Imaging Unit Converter Timber Volume Unit Converter Calculation molar mass Periodic system chemical elements D. I. Mendeleev

1 meter [m] = 10 decimeter [dm]

Initial value

Converted value

meter exameter petameter terameter gigameter megameter kilometer hectometer decameter decimeter centimeter millimeter micrometer micron nanometer picometer femtometer attometer megaparsec kiloparsec parsec light year astronomical unit (international) mile (statute) mile (US, geodetic) mile (Roman) 1000 yards furlong furlong (US, geodetic) chain chain (US, geodetic) rope (English rope) genus genus (US, geodetic) perch field (eng. pole) fathom fathom (US, geodetic) cubit yard foot foot (US, geodetic) link link (US, geodetic) cubit (Brit.) hand span finger nail inch inch (US, geodetic) barleycorn (eng. barleycorn) thousandth of a microinch angstrom atomic unit of length x-unit fermi arpan soldering typographic point twip cubit (Swedish) fathom (Swedish) caliber centiinch ken arshin actus (O.R.) vara de tarea vara conu quera vara castellana cubit (Greek) long reed reed long cubit palm "finger" Planck length classical electron radius Bohr radius equatorial radius of the Earth polar radius of the Earth distance from the Earth to the Sun radius of the Sun light nanosecond light microsecond light millisecond light second light hour light days light week Billion light-years Distance from the Earth to the Moon cable lengths (international) cable lengths (British) cable lengths (USA) nautical mile (USA) light minute rack unit horizontal pitch cicero pixel line inch (Russian) vershok span foot sazhen oblique sazhen verst boundary verst

Converter feet and inches to meters and vice versa

foot inch

m

Specific fuel consumption

More about length and distance

General information

Length is the largest measurement of the body. In three dimensions, length is usually measured horizontally.

Distance is a measure of how far two bodies are from each other.

Distance and length measurement

Distance and length units

In the SI system, length is measured in meters. Derived quantities such as kilometer (1000 meters) and centimeter (1/100 meter) are also widely used in the metric system. In countries that do not use the metric system, such as the US and the UK, units such as inches, feet, and miles are used.

Distance in physics and biology

In biology and physics, lengths are often measured much less than one millimeter. For this, a special value, a micrometer, has been adopted. One micrometer is equal to 1×10⁻⁶ meters. In biology, micrometers measure the size of microorganisms and cells, and in physics, the length of the infrared electromagnetic radiation. A micrometer is also called a micron and is sometimes, especially in English literature, denoted Greek letterµ. Other derivatives of the meter are also widely used: nanometers (1×10⁻⁹ meters), picometers (1×10⁻¹² meters), femtometers (1×10⁻¹⁵ meters), and attometers (1×10⁻¹⁸ meters).

Distance in navigation

Shipping uses nautical miles. One nautical mile is equal to 1852 meters. Initially, it was measured as an arc of one minute along the meridian, that is, 1/(60 × 180) of the meridian. This made latitude calculations easier, since 60 nautical miles equaled one degree of latitude. When distance is measured in nautical miles, speed is often measured in nautical knots. One knot equal to speed movement of one nautical mile per hour.

distance in astronomy

In astronomy, long distances are measured, so special quantities are adopted to facilitate calculations.

astronomical unit(au, au) is equal to 149,597,870,700 meters. The value of one astronomical unit is a constant, that is, a constant value. It is generally accepted that the Earth is located at a distance of one astronomical unit from the Sun.

Light year equals 10,000,000,000,000 or 10¹³ kilometers. This is the distance that light travels in a vacuum in one Julian year. This value is used in popular science literature more often than in physics and astronomy.

Parsec approximately equal to 30,856,775,814,671,900 meters or approximately 3.09 × 10¹³ kilometers. One parsec is the distance from the Sun to another astronomical object, such as a planet, star, moon, or asteroid, with an angle of one arc second. One arc second is 1/3600 of a degree, or about 4.8481368 mrad in radians. Parsec can be calculated using parallax - the effect of a visible change in the position of the body, depending on the point of observation. During measurements, a segment E1A2 (in the illustration) is laid from the Earth (point E1) to a star or other astronomical object (point A2). Six months later, when the Sun is on the other side of the Earth, a new segment E2A1 is drawn from the new position of the Earth (point E2) to the new position in space of the same astronomical object (point A1). In this case, the Sun will be at the intersection of these two segments, at point S. The length of each of the segments E1S and E2S is equal to one astronomical unit. If we postpone the segment through the point S, perpendicular to E1E2, it will pass through the intersection point of the segments E1A2 and E2A1, I. The distance from the Sun to point I is the SI segment, it is equal to one parsec when the angle between the segments A1I and A2I is two arcseconds.

On the image:

• A1, A2: apparent star position
• E1, E2: Earth position
• S: position of the sun
• I: point of intersection
• IS = 1 parsec
• ∠P or ∠XIA2: parallax angle
• ∠P = 1 arc second

Other units

League- an obsolete unit of length used earlier in many countries. It is still used in some places, such as the Yucatan Peninsula and rural areas of Mexico. This is the distance a person walks in an hour. Marine League - Three nautical miles, about 5.6 kilometers. Lie - a unit approximately equal to the league. AT English language both leagues and leagues are called the same, league. In literature, the league is sometimes found in the title of books, such as "20,000 Leagues Under the Sea" - famous novel Jules Verne.

Elbow- an old value equal to the distance from the tip of the middle finger to the elbow. This value was widespread in the ancient world, in the Middle Ages, and until modern times.

Yard used in the British imperial system and is equal to three feet or 0.9144 meters. In some countries, such as Canada, where the metric system Yards are used to measure the fabric and length of swimming pools and sports fields such as golf and football fields.

Meter Definition

The definition of the meter has changed several times. The meter was originally defined as 1/10,000,000 of the distance from North Pole to the equator. Later, the meter was equal to the length of the platinum-iridium standard. Later, the meter was equated to the wavelength of the orange line of the electromagnetic spectrum of the krypton atom ⁸⁶Kr in vacuum, multiplied by 1,650,763.73. Today, a meter is defined as the distance traveled by light in a vacuum in 1/299,792,458 of a second.

Computing

In geometry, the distance between two points, A and B, with coordinates A(x₁, y₁) and B(x₂, y₂) is calculated by the formula:

Calculations for converting units in the converter " Length and distance converter' are performed using the functions of unitconversion.org .

School theme: Formation of functional literacy of students' personality as a condition for improving the quality of education

SMO theme: Development of functional literacy elementary school student as an important factor in improving the quality of education

Methodical theme teachers: " use use didactic games in math class»

LESSON INFORMATION CARD

the date 28.01.16

Class: 1 "G"

Thing: mathematics

Subject: units of length - decimeter (1 dm). 1 dm=10cm

Target:

educational:learn to measure, draw segments of a given length with a ruler and a pencil, compare work with a sample, work according to instructions, draw conclusions; to consolidate knowledge of the numbering of numbers, to develop the ability to solve problems;

Rdeveloping: to carry out the development of cognitive motivation of children on the basis of the adoption and retention of educational tasks, positive motivation for learning; develop the ability to analyze, compare, generalize educational material; develop the ability to work in pairs;

educational: to cultivate independence, activity, responsibility, culture of behavior in the classroom.

Lesson type: learning new material

Methods: exploratory, reproductive, explanatory, illustrative

Equipment: TSO

Routing

1. Organizational moment. Psychological mood.

Guys, I want to start the lesson with words that will help you in your work.

We came here to study - not to be lazy, but to work.

We work hard and listen carefully.

2. Updating knowledge

calligraphic minute

-Verbal counting.

1. "Chain".

2. Paste and solve

6+ … -4= 5 8- … +6=9

10- … +3=7 6+2- … = 4

9-6+ … =8 5+ … -3= 6

3. Learning new material.

1. Acquaintance with the unit of measurement of length - decimeter.

The teacher asks the children to measure the lengths various items and then asks:

– What unit of length did you use?(A centimeter.)

– There is a large unit of measure for length -decimeter .

In mathematics, the word "decimeter" is usually written abbreviated:dm .

There are 10 centimeters in one decimeter, briefly this can be written as follows:

– Show 1 dm on your rulers.

2. Exercise in measuring the length of objects.

Children practice measuring the length of various objects using a new measure of length - 1 dm. (For the first lessons on this topic, it is better to prepare measurements for children equal to 1 dm, so that it would be more convenient for students to determine the length of objects.)

- Translate the numbers:

20 cm=...dm

5 dm=...cm

1 3cm=10cm+3cm

13cm = 1dm3cm

Fizminutka

Let's raise our hands up - one
Above the nose, above the eyes.
Keep your hands up straight
Don't swing. don't tremble.
Three - put your hands down,
Stay where you are, don't move.
Up one, two, three, four, down!
We repeat, do not be lazy!
Let's make turns
Do everything willingly.
Once - turn left,
Two is the other way around.
So, not at all, without haste,
We repeat 8 times.
Hands on the belt, legs wider!

4. Fixing

Draw a segment 1 cm long, 1 dm; 1 dm = 10 cm

- Compare:

5 – 2 * 6 – 2

- Solve a problem.

There were 10 people on the bus. 3 people got off at the bus stop. How many people are left on the bus?

5. The result of the lesson.

– What have you learned?

– What discoveries did they make?

– Will you need the knowledge gained today in the future?

– What task was the most interesting for you?

1. Perform addition and subtraction with units of length.

1. 1 dm + 3 dm =

2. 4 dm 3 cm + 2 cm =

3. 6 dm 7 cm - 2 dm =

4. 10 dm 2 cm - 1 cm =

! Subtract centimeters from centimeters, decimeters from decimeters

2. Draw a segment:

The first is 8 cm long, and the second is 3 cm shorter.

Length and Distance Converter Mass Converter Bulk Food and Food Volume Converter Area Converter Volume and Recipe Units Converter Temperature Converter Pressure, Stress, Young's Modulus Converter Energy and Work Converter Power Converter Force Converter Time Converter Linear Velocity Converter Flat Angle Converter thermal efficiency and fuel efficiency Converter of numbers in different number systems Converter of units of measurement of quantity of information Currency rates Dimensions of women's clothing and shoes Dimensions of men's clothing and shoes Angular velocity and rotational frequency converter Acceleration converter Angular acceleration converter Density converter Specific volume converter Moment of inertia converter Moment of force converter Torque converter Specific calorific value converter (by mass) Energy density and specific calorific value converter (by volume) Temperature difference converter Coefficient converter Thermal Expansion Coefficient Thermal Resistance Converter Thermal Conductivity Converter Specific Heat Capacity Converter Energy Exposure and Radiant Power Converter Heat Flux Density Converter Heat Transfer Coefficient Converter Volume Flow Converter Mass Flow Converter Molar Flow Converter Mass Flux Density Converter Molar Concentration Converter Mass Concentration in Solution Converter Dynamic ( Kinematic Viscosity Converter Surface Tension Converter Vapor Permeability Converter Vapor Permeability and Vapor Transfer Velocity Converter Sound Level Converter Microphone Sensitivity Converter Sound Pressure Level (SPL) Converter Sound Pressure Level Converter with Selectable Reference Pressure Brightness Converter Luminous Intensity Converter Illuminance Converter graph Frequency and Wavelength Converter Power to Diopter x and Focal Length Diopter Power and Lens Magnification (×) Electric Charge Converter Linear Charge Density Converter Surface Charge Density Converter Bulk Charge Density Converter Electric Current Converter Linear Current Density Converter Surface Current Density Converter Electric Field Strength Converter Electrostatic Potential and Voltage Converter Converter Electrical Resistance Electrical Resistivity Converter Electrical Conductivity Converter Electrical Conductivity Converter Capacitance Inductance Converter US Wire Gauge Converter Levels in dBm (dBm or dBmW), dBV (dBV), watts, etc. units Magnetomotive force converter Magnetic field strength converter Magnetic flux converter Magnetic induction converter Radiation. Ionizing Radiation Absorbed Dose Rate Converter Radioactivity. Radioactive Decay Converter Radiation. Exposure Dose Converter Radiation. Absorbed Dose Converter Decimal Prefix Converter Data Transfer Typography and Image Processing Unit Converter Timber Volume Unit Converter Calculation of Molar Mass Periodic Table of Chemical Elements by D. I. Mendeleev

1 decimeter [dm] = 10 centimeter [cm]

Initial value

Converted value

meter exameter petameter terameter gigameter megameter kilometer hectometer decameter decimeter centimeter millimeter micrometer micron nanometer picometer femtometer attometer megaparsec kiloparsec parsec light year astronomical unit (international) mile (statute) mile (US, geodetic) mile (Roman) 1000 yards furlong furlong (US, geodetic) chain chain (US, geodetic) rope (English rope) genus genus (US, geodetic) perch field (eng. pole) fathom fathom (US, geodetic) cubit yard foot foot (US, geodetic) link link (US, geodetic) cubit (Brit.) hand span finger nail inch inch (US, geodetic) barleycorn (eng. barleycorn) thousandth of a microinch angstrom atomic unit of length x-unit fermi arpan soldering typographic point twip cubit (Swedish) fathom (Swedish) caliber centiinch ken arshin actus (O.R.) vara de tarea vara conu quera vara castellana cubit (Greek) long reed reed long cubit palm "finger" Planck length classical electron radius Bohr radius equatorial radius of the Earth polar radius of the Earth distance from the Earth to the Sun radius of the Sun light nanosecond light microsecond light millisecond light second light hour light days light week Billion light-years Distance from the Earth to the Moon cable lengths (international) cable lengths (British) cable lengths (USA) nautical mile (USA) light minute rack unit horizontal pitch cicero pixel line inch (Russian) vershok span foot sazhen oblique sazhen verst boundary verst

Converter feet and inches to meters and vice versa

foot inch

m

More about length and distance

General information

Length is the largest measurement of the body. In three dimensions, length is usually measured horizontally.

Distance is a measure of how far two bodies are from each other.

Distance and length measurement

Distance and length units

In the SI system, length is measured in meters. Derived quantities such as kilometer (1000 meters) and centimeter (1/100 meter) are also widely used in the metric system. In countries that do not use the metric system, such as the US and the UK, units such as inches, feet, and miles are used.

Distance in physics and biology

In biology and physics, lengths are often measured much less than one millimeter. For this, a special value, a micrometer, has been adopted. One micrometer is equal to 1×10⁻⁶ meters. In biology, micrometers measure the size of microorganisms and cells, and in physics, the length of infrared electromagnetic radiation. A micrometer is also called a micron and sometimes, especially in English literature, is denoted by the Greek letter µ. Other derivatives of the meter are also widely used: nanometers (1×10⁻⁹ meters), picometers (1×10⁻¹² meters), femtometers (1×10⁻¹⁵ meters), and attometers (1×10⁻¹⁸ meters).

Distance in navigation

Shipping uses nautical miles. One nautical mile is equal to 1852 meters. Initially, it was measured as an arc of one minute along the meridian, that is, 1/(60 × 180) of the meridian. This made latitude calculations easier, since 60 nautical miles equaled one degree of latitude. When distance is measured in nautical miles, speed is often measured in nautical knots. One knot is equal to one nautical mile per hour.

distance in astronomy

In astronomy, long distances are measured, so special quantities are adopted to facilitate calculations.

astronomical unit(au, au) is equal to 149,597,870,700 meters. The value of one astronomical unit is a constant, that is, a constant value. It is generally accepted that the Earth is located at a distance of one astronomical unit from the Sun.

Light year equals 10,000,000,000,000 or 10¹³ kilometers. This is the distance that light travels in a vacuum in one Julian year. This value is used in popular science literature more often than in physics and astronomy.

Parsec approximately equal to 30,856,775,814,671,900 meters or approximately 3.09 × 10¹³ kilometers. One parsec is the distance from the Sun to another astronomical object, such as a planet, star, moon, or asteroid, with an angle of one arc second. One arc second is 1/3600 of a degree, or about 4.8481368 mrad in radians. Parsec can be calculated using parallax - the effect of a visible change in the position of the body, depending on the point of observation. During measurements, a segment E1A2 (in the illustration) is laid from the Earth (point E1) to a star or other astronomical object (point A2). Six months later, when the Sun is on the other side of the Earth, a new segment E2A1 is drawn from the new position of the Earth (point E2) to the new position in space of the same astronomical object (point A1). In this case, the Sun will be at the intersection of these two segments, at point S. The length of each of the segments E1S and E2S is equal to one astronomical unit. If we postpone the segment through the point S, perpendicular to E1E2, it will pass through the intersection point of the segments E1A2 and E2A1, I. The distance from the Sun to point I is the SI segment, it is equal to one parsec when the angle between the segments A1I and A2I is two arcseconds.

On the image:

• A1, A2: apparent star position
• E1, E2: Earth position
• S: position of the sun
• I: point of intersection
• IS = 1 parsec
• ∠P or ∠XIA2: parallax angle
• ∠P = 1 arc second

Other units

League- an obsolete unit of length used earlier in many countries. It is still used in some places, such as the Yucatan Peninsula and rural areas of Mexico. This is the distance a person walks in an hour. Marine League - three nautical miles, approximately 5.6 kilometers. Lie - a unit approximately equal to the league. In English, both leagues and leagues are called the same, league. In literature, the league is sometimes found in the title of books, such as "20,000 Leagues Under the Sea" - the famous novel by Jules Verne.

Elbow- an old value equal to the distance from the tip of the middle finger to the elbow. This value was widespread in the ancient world, in the Middle Ages, and until modern times.

Yard used in the British imperial system and is equal to three feet or 0.9144 meters. In some countries, such as Canada, where the metric system is adopted, yards are used to measure the fabric and length of swimming pools and sports fields and grounds, such as golf and football courses.

Meter Definition

The definition of the meter has changed several times. The meter was originally defined as 1/10,000,000 of the distance from the North Pole to the equator. Later, the meter was equal to the length of the platinum-iridium standard. Later, the meter was equated to the wavelength of the orange line of the electromagnetic spectrum of the krypton atom ⁸⁶Kr in vacuum, multiplied by 1,650,763.73. Today, a meter is defined as the distance traveled by light in a vacuum in 1/299,792,458 of a second.

Computing

In geometry, the distance between two points, A and B, with coordinates A(x₁, y₁) and B(x₂, y₂) is calculated by the formula:

Calculations for converting units in the converter " Length and distance converter' are performed using the functions of unitconversion.org .