the metric system (day 3) (kilo… to milli… units) we are learning to…convert metric units of...

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The Metric System (Day 3) (Kilo… to milli… units) We are learning to…convert metric units of length, mass, and volume. Sunday, August 28, 2022

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Page 1: The Metric System (Day 3) (Kilo… to milli… units) We are learning to…convert metric units of length, mass, and volume. Wednesday, November 11, 2015

The Metric System (Day 3)(Kilo… to milli… units)

We are learning to…convert metric units of length, mass, and volume.

Thursday, April 20, 2023

Page 2: The Metric System (Day 3) (Kilo… to milli… units) We are learning to…convert metric units of length, mass, and volume. Wednesday, November 11, 2015

What is the Metric System? System of measurements that is based on

increments of 10. Why should I learn about the Metric System

of Measurement? Much easier to convert measurements compared

to the English System of Measurement Over 95% of the world uses the metric system.

In fact only 3 countries still use the English System of Measurement Myanmar Liberia The United States

Page 3: The Metric System (Day 3) (Kilo… to milli… units) We are learning to…convert metric units of length, mass, and volume. Wednesday, November 11, 2015

The basic units of the Metric System:

A METER is the basic unit of length in the Metric System.

A GRAM is the basic unit of weight and mass in the Metric System Think of the weight of a gram to be

about 1 paper clip. A LITER is the basic unit of volume in

the Metric System.

Page 4: The Metric System (Day 3) (Kilo… to milli… units) We are learning to…convert metric units of length, mass, and volume. Wednesday, November 11, 2015

There are also units of the Metric System which are smaller than the basic units.

Unit

Relationship to the basic

unit…

Abbreviation

Meter

Gram

Liter

Decimeter

Decigram

Deciliter

Centimeter

Centigram

Centiliter

Millimeter

Milligram

Milliliter

The basic unit

10 in the basic unit

100 in the basic unit

1000 in the basic unit

m

g

l

dm

dg

dl

cm

cg

cl

mm

mg

ml

×10×10 ×10×10 ×10×10

Moving from a larger unit to a smaller unit you must multiply because there are a lot of the smaller units inside of the larger unit.

÷10÷10 ÷10÷10÷10÷10

Moving from a smaller unit to a larger unit you must divide because you must see how many groups of the smaller units are inside the larger unit.

Page 5: The Metric System (Day 3) (Kilo… to milli… units) We are learning to…convert metric units of length, mass, and volume. Wednesday, November 11, 2015

Converting Between Metric Units…

17 m = ________ cm

Larger unit to a small unit… so multiply

17 m × 10 × 10

1,700 86,000 mg = ________ g

Smaller unit to a larger unit… so divide

86,000 mg ÷ 10 ÷ 10 ÷ 10

86

9.81 dl = ________ cl

Larger unit to a small unit… so multiply

9.81 dl × 10

98.1 83 mm = ________ m

Smaller unit to a larger unit… so divide

83 mm ÷ 10 ÷ 10 ÷ 10

0.083

•Try converting some metric units of length, weight/mass and volume with your teammates. Raise your hand when you are complete so your teacher can check your solutions.

Page 6: The Metric System (Day 3) (Kilo… to milli… units) We are learning to…convert metric units of length, mass, and volume. Wednesday, November 11, 2015

Units which are larger than the basic units… There are also units which are larger than the basic

units:

10 of the basic unit put together are called a decameter, decagram, or decaliter.

To remember this think of a decade. A decade is 10 years, while a “decaunit” has 10 units put together.

100 of the basic unit put together are called a hectometer, hectogram, or a hectoliter.

1,000 of the basic unit put together are called a kilometer, kilogram, or a kiloliter.

Page 7: The Metric System (Day 3) (Kilo… to milli… units) We are learning to…convert metric units of length, mass, and volume. Wednesday, November 11, 2015

Unit

Relationship to the basic

unit…

Abbreviation

Moving from a larger unit to a smaller unit you must multiplymultiply because there are a lot of the smaller units inside of the larger unit.

Moving from a smaller unit to a larger unit you must dividedivide because you must see how many groups of the smaller units are inside the larger unit.

Meter

Gram

Liter

Decimeter

Decigram

Deciliter

Centimeter

Centigram

Centiliter

Millimeter

Milligram

Milliliter

The basic unit

10 in the basic unit

100 in the basic

unit

1000 in the basic

unit

m

g

l

dm

dg

dl

cm

cg

cl

mm

mg

ml

Kilometer

Kilogram

Kiloliter

Hectometer

Hectogram

Hectoliter

Decameter

Decagram

Decaliter

1000 of the basic

unit

100 of the basic

unit

10 of the basic unit

km

kg

kl

hm

hg

hl

dam

dag

dal

×10×10 ×10×10 ×10×10

÷10÷10 ÷10÷10÷10÷10÷10÷10 ÷10÷10÷10÷10

×10×10 ×10×10 ×10×10

Page 8: The Metric System (Day 3) (Kilo… to milli… units) We are learning to…convert metric units of length, mass, and volume. Wednesday, November 11, 2015

Unit

Relationship to the basic

unit…

Abbreviation

Mnemonic Device

Meter

Gram

Liter

Decimeter

Decigram

Deciliter

Centimeter

Centigram

Centiliter

Millimeter

Milligram

Milliliter

The basic unit

10 in the basic unit

100 in the basic

unit

1000 in the basic

unit

m

g

l

dm

dg

dl

cm

cg

cl

mm

mg

ml

Kilometer

Kilogram

Kiloliter

Hectometer

Hectogram

Hectoliter

Decameter

Decagram

Decaliter

1000 of the basic

unit

100 of the basic

unit

10 of the basic unit

km

kg

kl

hm

hg

hl

dam

dag

dal

×10×10 ×10×10 ×10×10

÷10÷10 ÷10÷10÷10÷10÷10÷10 ÷10÷10÷10÷10

×10×10 ×10×10 ×10×10

Mnemonic Device to remember the order of the Metric Units…

“King

(Kilo…)

Henry

(Hecto…)

Died

(Deca…)

By

(Basic Unit)

Drinking

(Deci…)

Chocolate

(Centi…)

Milk.”

(Milli…)

Page 9: The Metric System (Day 3) (Kilo… to milli… units) We are learning to…convert metric units of length, mass, and volume. Wednesday, November 11, 2015

More Converting Between Metric Units…

230 km = ________ m

Larger unit to a small unit… so multiply

230 km × 10 × 10 × 10

230,000 6,000 hg = ________ dag

Larger unit to a small unit… so multiply

6,000 hg × 10

60,000

82 kl = __________ cl

Larger unit to a small unit… so multiply

82 dl × 10 × 10 × 10 × 10 × 10

8,200,000 72.814 dm = ________ dam

Smaller unit to a larger unit… so divide

72.814 mm ÷ 10 ÷ 10

0.72814

•Try converting some metric units of length, weight/mass and volume with your teammates. Raise your hand when you are complete so your teacher can check your solutions.