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METRIC CONVERSIONS

MEASUREMENT

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In the USA they use the �IMPERIAL SYSTEM…

  • INCH (a thumb length)
  • FOOT (a length of a foot)
  • YARD (a length of a step)
  • MILE (a length you would walk in 20 mins)

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CONVERTING THE IMPERIAL SYSTEM IS CONFUSING

  • INCH (a thumb length)
  • FOOT (a length of a foot)
  • YARD (a length of a step)
  • MILE (a length you would walk in 20 mins)

12 inches in 1 foot

3 feet in 1 yard

1760 yards in 1 mile

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QUESTION…

  • How long is your phone?
  • How far is your house from school?
  • How tall are you?

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SO THE METRIC SYSTEM WAS CREATED TO MAKE OUR LIFE SIMPLER

(and for many many other reasons)

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A hallway rug is 60cm wide and 2.6m long.

  • Ian wants to figure out the area of the rug.
  • The units for the length and the width are different.
  • He knows that he must either change the metres to centimetres or the centimetres to metres before he multiplies to get the area.

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A hallway rug is 60cm wide and 2.6m long.

You can convert the measurements by using the unit relationships and multiplying or dividing.

CONVERT m 🡪 cm

1 cm = 0.01 m

60 cm = 60 x 0.01 m

60 cm = 0.60 m

​

A = 0.60m x 2.6m

A = 1.56m2

CONVERT m 🡪 cm

1 m = 100 cm

2.6m = 2.6 x 100 cm

= 260 cm

​

A = 60cm x 260cm

A = 15 600cm2

​

HUH??

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KILO

(1000)

HECTO

(100)

DECA

(10)

BASE UNIT

(1)

DECI

(0.1)

CENTI

(0.01)

MILLI

(0.001)

MULTIPLY BY 10

FOR EACH STEP DOWN

DIVIDE BY 10

FOR EACH STEP UP

10 of 40

KILO

(1000)

HECTO

(100)

DECA

(10)

BASE UNIT

(1)

DECI

(0.1)

CENTI

(0.01)

MILLI

(0.001)

km

hm

dam

m

dm

cm

mm

MULTIPLY BY 10

FOR EACH STEP DOWN

DIVIDE BY 10

FOR EACH STEP UP

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÷ 1 000 kilo

÷ 100 hecto

÷ 10 deka

(unit)

x 10 deci

x 100 centi

x 1 000 milli

metre

metre

metre

metre

​

metre

metre

metre

12 of 40

gram

gram

gram

​

gram

gram

gram

÷ 1 000 kilo

÷ 100 hecto

÷ 10 deka

(unit)

x 10 deci

x 100 centi

x 1 000 milli

gram

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litre

litre

litre

​

litre

litre

litre

÷ 1 000 kilo

÷ 100 hecto

÷ 10 deka

(unit)

x 10 deci

x 100 centi

x 1 000 milli

litre

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1mm

Each unit can be �broken into 10 smaller units

10mm

1 cm = 10mm

1cm

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7cm

iPhone

mm

iPhone

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KILO

(1000)

HECTO

(100)

DECA

(10)

BASE UNIT

(1)

DECI

(0.1)

CENTI

(0.01)

MILLI

(0.001)

km

hm

dam

m

dm

cm

mm

MULTIPLY BY 10

FOR EACH STEP DOWN

DIVIDE BY 10

FOR EACH STEP UP

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KILO

(1000)

HECTO

(100)

DECA

(10)

BASE UNIT

(1)

DECI

(0.1)

CENTI

(0.01)

MILLI

(0.001)

km

hm

dam

m

dm

cm

mm

MULTIPLY BY 10

FOR EACH STEP DOWN

DIVIDE BY 10

FOR EACH STEP UP

7

cm

0

mm

7 x 10

7cm converted into mm

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7cm

iPhone

m

iPhone

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KILO

(1000)

HECTO

(100)

DECA

(10)

BASE UNIT

(1)

DECI

(0.1)

CENTI

(0.01)

MILLI

(0.001)

km

hm

dam

m

dm

cm

mm

MULTIPLY BY 10

FOR EACH STEP DOWN

DIVIDE BY 10

FOR EACH STEP UP

7

0

0

cm

m

7 ÷10 ÷10

7cm converted into m

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1L

of Pop

1L

mL

of Pop

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KILO

(1000)

HECTO

(100)

DECA

(10)

BASE UNIT

(1)

DECI

(0.1)

CENTI

(0.01)

MILLI

(0.001)

KL

hL

daL

L

dL

cL

mL

MULTIPLY BY 10

FOR EACH STEP DOWN

DIVIDE BY 10

FOR EACH STEP UP

1L

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KILO

(1000)

HECTO

(100)

DECA

(10)

BASE UNIT

(1)

DECI

(0.1)

CENTI

(0.01)

MILLI

(0.001)

KL

hL

daL

L

dL

cL

mL

MULTIPLY BY 10

FOR EACH STEP DOWN

DIVIDE BY 10

FOR EACH STEP UP

0

0

1

mL

0

1L of pop into mL

1L

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Convert the measurements to more appropriate units so that you can decide if the measurements are reasonable

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KILO

(1000)

HECTO

(100)

DECA

(10)

BASE UNIT

(1)

DECI

(0.1)

CENTI

(0.01)

MILLI

(0.001)

km

hm

dam

m

dm

cm

mm

MULTIPLY BY 10

FOR EACH STEP DOWN

DIVIDE BY 10

FOR EACH STEP UP

A school bus is about 0.011 km long.

0

1

1

0

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KILO

(1000)

HECTO

(100)

DECA

(10)

BASE UNIT

(1)

DECI

(0.1)

CENTI

(0.01)

MILLI

(0.001)

MULTIPLY BY 10

FOR EACH STEP DOWN

DIVIDE BY 10

FOR EACH STEP UP

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KILO

(1000)

HECTO

(100)

DECA

(10)

BASE UNIT

(1)

DECI

(0.1)

CENTI

(0.01)

MILLI

(0.001)

KL

hL

daL

L

dL

cL

mL

MULTIPLY BY 10

FOR EACH STEP DOWN

DIVIDE BY 10

FOR EACH STEP UP

A juice pitcher holds about 22 000 mL.

0

2

2

0

0

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KILO

(1000)

HECTO

(100)

DECA

(10)

BASE UNIT

(1)

DECI

(0.1)

CENTI

(0.01)

MILLI

(0.001)

Kg

hg

dag

g

dg

cg

mg

MULTIPLY BY 10

FOR EACH STEP DOWN

DIVIDE BY 10

FOR EACH STEP UP

A slice of apple has a mass of about 0.012 kg.

​

0

0

2

1

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KILO

(1000)

HECTO

(100)

DECA

(10)

BASE UNIT

(1)

DECI

(0.1)

CENTI

(0.01)

MILLI

(0.001)

Kg

hg

dag

g

dg

cg

mg

MULTIPLY BY 10

FOR EACH STEP DOWN

DIVIDE BY 10

FOR EACH STEP UP

An elephant has a mass of about 35 000 g.

0

5

0

0

3

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KILO

(1000)

HECTO

(100)

DECA

(10)

BASE UNIT

(1)

DECI

(0.1)

CENTI

(0.01)

MILLI

(0.001)

km

hm

dam

m

dm

cm

mm

MULTIPLY BY 10

FOR EACH STEP DOWN

DIVIDE BY 10

FOR EACH STEP UP

A rectangular bedroom floor has an area of about 38 000.42 cm2.

​

3

8

0

0

0

4

2

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KILO

(1000)

HECTO

(100)

DECA

(10)

BASE UNIT

(1)

DECI

(0.1)

CENTI

(0.01)

MILLI

(0.001)

km

hm

dam

m

dm

cm

mm

MULTIPLY BY 10

FOR EACH STEP DOWN

DIVIDE BY 10

FOR EACH STEP UP

The area of a soccer field is about 0.45 km2.

0

4

5

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KILO

(1000)

HECTO

(100)

DECA

(10)

BASE UNIT

(1)

DECI

(0.1)

CENTI

(0.01)

MILLI

(0.001)

km

hm

dam

m

dm

cm

mm

MULTIPLY BY 10

FOR EACH STEP DOWN

DIVIDE BY 10

FOR EACH STEP UP

A piece of paper has an area of about 64 000 mm2.

6

4

0

0

0

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HOW WILL YOU �REMEMBER THE UNITS?

K

H

D

U

D

C

M

cool word alert!

mnemonic

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HOW WILL YOU �REMEMBER THE UNITS?

x 1 000 kilo

x 100 hecto

x 10 deka

unit

÷ 10 deci

÷ 100 centi

÷ 1 000 milli

K

H

D

U

D

C

M

king

henry

died

unexpectedly

drinking

chocolate

milk

cool word alert!

mnemonic

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HOW WILL YOU �REMEMBER THE UNITS?

x 1 000 kilo

x 100 hecto

x 10 deka

unit

÷ 10 deci

÷ 100 centi

÷ 1 000 milli

K

H

D

U

D

C

M

king

henry

doesn’t

usually

drink

chocolate

milk

cool word alert!

mnemonic

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HOW WILL YOU �REMEMBER THE UNITS?

K

H

D

U

D

C

M

?

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H

D

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C

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K

H

D

U

D

C

M

?

?

?

?

?

?

?

cool word alert!

mnemonic

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HOW WILL YOU �REMEMBER THE UNITS?

K

H

D

U

D

C

M

?

?

?

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K

H

D

U

D

C

M

?

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K

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C

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K

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cool word alert!

mnemonic

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TRY IT

  1. 44mm 🡪 ______m

​

  • 0.445km 🡪 ______cm

​

3) 53 000 000 mL 🡪 ______ L

​

4) 0.400032002kg 🡪 ______mg

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Mega, Giga, Tera & Micro, Nano, Pico

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Online practice

https://mrnussbaum.com/horrendous-soup-online-game

Online practice

http://www.sheppardsoftware.com/mathgames/measurement/MeasurementMeters.htm