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Practice sheet 1-4 evens only

1-5 Measuring in Metric Units

1971—Department of Commerce recommended the U.S. convert to metric

Today—90% of world nations use metric system

A decimal system based on the number 10 All measurements are multiples of 10 Standard rules for amounts of units through

the use of prefixes Units of measure have specific names

Metric System

Units of Measurement Prefixes and Multiplier: Kilo = 1000 Hecto = 100 Deca = 10 Meter = 1 Deci = .1 Centi = .01 Milli = .001

Examples: Kilometer Hectometer Decameter Meter Decimeter Centimeter Millimeter

Units of Measure◦ Meters represent length◦ Grams represent mass or weight◦ Liters or cubic meters represent volume or

capacity

Metric System

Length - standard unit is meter

1 millimeter = 0.001 meter1 centimeter = 0.01 meter1 decimeter = 0.1 meter1 kilometer = 1000 meters

Abbreviations 1 millimeter = 1 mm

1 dekameter = 1 dam1 meter = 1 m1 decimeter = 1 dm1 kilometer = 1 km

Length: 1 meter is a little longer than 1 yard or 3

feet or doorknob to floor. It is about half the height of a very tall adult.

1 Kilometer is about 11 football fields 1centimeter is nearly the diameter of a

dime, a little less than half an inch, or the width of your finger.

A millimeter is about the thickness of a dime.

Capacity 1 liter is a little more than 1 quart. One teaspoon or a small spoon equals

about 5 milliliters.

Mass 1 milligram is about the mass of a mosquito 1 gram is about the mass of a paper clip. 1kilogram is about the mass of a liter of

water or the mass of a bunch of bananas.

How about the height of a classroom?◦ 3 cm 3m 3km

How about the mass of a bag of flour?◦ 2.3 mg 2.3g 2.3kg

How about the capacity of a soup bowl?◦ 180 mL 180L 180kL

How about the mass of a butterfly?◦ 500mg 500g 500kg

How about the length of a pencil?◦ 19mm 19cm 19m

Reasonable Estimates

How to remember different lengths in the metric system: When you think of a millimeter (mm) think

of:◦ The thickness of a dime.

When you think of a centimeter (cm) think of:◦ The width of your pinky.

How to remember different lengths in the metric system: When you think of a meter (m) think of:

◦ The height of the doorknob.

When you think of a kilometer (km) think of:◦ A little more than half of a mile

How to remember different volumes in the metric system: When you think of a liter (L) think of:

◦ About the size of a bottle of water.

When you think of 5 milliliters (mL) think of:◦ One teaspoon

When you think of 2 kiloliters (kL) think of:◦ A hot tub

How to remember different masses in the metric system: When you think of a gram (g) think of:

◦ A paper clip

When you think of a kilogram (kg) think of:◦ A little more than 2 pounds.

What is the order of the metric system? King Henry Died by Drinking Chocolate Milk

◦ King: Kilo◦ Henry: Hecto◦ Died: Deca◦ By: Base (m, L, g)◦ Drinking: Deci◦ Chocolate: Centi◦ Milk: Milli

7th Grade Formula Sheet

King Henry Died By Drinking Chocolate Milk

The “Trick” for converting using “King Henry” 

Start at the prefix of the unit you are starting with and count the times you move to get to the prefix you are converting to. Do not count the unit you started with. Move the decimal that

many places and in the direction you counted (right or left).

Example: 5m = 500 cm The decimal was moved two times to the right from the base unit of meter to cm.

Kilo- 1000 (Thousand)        Hecto- 100 (Hundred)               Deka- 10 (Ten)                          Base – 1 (One)                                Deci- 0.1 (Tenths)                                        Centi- 0.01 (Hundredths)                                                          Milli-  0.001 (Thousandths)

King Henry Died By Drinking Chocolate Milk

7 km = __________ m

6 g = __________ cg

9.15 kL = __________ L

6.25 kg = __________ mg

14.2 m = __________ cm

7,000

600

9,150

6,250,000

1,420

1,000 thousand

1 one

.01 hundredths

1 one

1,000 thousand

1 one

1,000 thousand

.001 thousandths

.01 hundredths

1 one

3 places to right

2 places to right

3 places to right

6 places to right

2 places to right

14 mL = __________ L

3.97 g = __________ kg

915 L = __________ kL

45 mg = __________ dag

10 m = __________ dam

0.014

0.00397

0.915

0.0045

1

.001 thousandths

1 one 3 places to left

1 one 1,000 thousand

3 places to left

1one 1,000 thousand

3 places to left

.001 thousandths

10 ten 4 places to left

1 one 10 ten1 place to left

Homework Time

12.) Liter =1 one; mL=.001 thousandths

Then write answer

Change 245mL to L◦ It takes 1,000 mL to equal 1L, so times 245 by .001

to change to liters ◦ 24ml x 0.001 = 0.245 L

Change 1.4g to mg◦ It takes 1,000 mg to equal 1g, so times 1.4 by 1000

to get mg◦ 1.4g x 1000 = 1,400mg

Change 34L to mL◦ It takes 1,000 mL to equal 1L, so times 24 by 1000

to get mg◦ 34L x 1000 = 34,000mL

Change 4,690g to kg◦ It takes 1,000g to equal 1kg, so times by .001◦ 4690g x .0001 = 4.690kg

Multiplying to change units

The Length of the Matter 24MAT/TAP 2003-2004

10 millimeters = 1

centimeter mm cm

100 millimeters or10 centimeters = 1 decimeter cm dm

10 decimeters = 1 meter

The Length of the Matter 25MAT/TAP 2003-2004

1 meter is a little longer than 1 yard or 3 feet.

It is about half the height of a very tall adult.

A centimeter is nearly the diameter of a dime, a little less than half an inch.

A millimeter is about the thickness of a dime.

The Length of the Matter 26MAT/TAP 2003-2004

The standard unit of length in themetric system is the meter.

The numbers on a meter stick are called

centimeters. The 10 lines between centimeter numbers are called millimeters.

There are 100 centimeters and 1000 millimeters in a meter.

10 millimeters = 1 centimeter

The Length of the Matter 27MAT/TAP 2003-2004

The meter is based on multiples of 10. Each millimeter is a tenth of a centimeter. For example:

the length of the red line is 7.5 or seven and five tenths

centimeters.

The Length of the Matter 28MAT/TAP 2003-2004

The Length of the Matter 29MAT/TAP 2003-2004

The standard unit of length in the metric system is the meter

Other units of length and their equivalents in meters are as

follows: 1 millimeter = 0.001 meter1 centimeter = 0.01 meter1 decimeter = 0.1 meter

1 kilometer = 1000 meters We abbreviate these lengths as follows:

1 millimeter = 1 mm1 centimeter = 1 cm

1 meter = 1 m1 decimeter = 1 dm1 kilometer = 1 km

The Length of the Matter 30MAT/TAP 2003-2004

Write the metric measurements shown below.(don’t forget to label your answers)

1.

2.

3.

Answers on next slide

The Length of the Matter 31MAT/TAP 2003-2004

1.

2.

3.

4.5 cm

9 cm

6.5 cm

English to Metric Conversions 39,370 inches = 1 kilometer 3280.8 feet = 1 kilometer .62 miles = 1 kilometer 39 inches = 1 meter 3.28 feet = 1 meter

1 inch = 254 mm 1 inch = 2.54 cm 1 foot = 30.48 cm 1 yard = 91.44 cm 1 yard = .914 m 1 mile = 1609.3 m 1 mile = 1.609 km

You do not need to know these. They are just for you to get an idea of how these systems compare.

Metric Conversion Steps