6th Grade Math Textbook, Fundamentals

You can compute with measurements that have two or more different units

if the units all measure the same property: length, weight, or capacity.

Add or Subtract

• Add or subtract like units.


• Regroup to rename units.

Multiply

• Multiply each unit.


• Regroup to rename units.
  OR


• Rename all units as like units.


• Multiply and then regroup.

Divide

• Rename all units as like units,
  and combine.


• Divide and then regroup.

8 ft 32 in. 10 ft 8 in. 128 in. 10 ft 8 in.

32

4

128

in

in

.

.

28

4

8 32

ft in

ft in

.

.

28

4

ft in.

Think

1 fl oz 1 c

How many cups are in 30 fluid ounces?

30 fl oz  c

8 fl oz 1 c, so divide by 8.

 3

So there are 3 cups in 30 fluid ounces.^34

3

4

15

4

30

8

15

4

30

8

?

1

Lesson 5-17 for exercise sets. &KDSWHU 

&KHFN<RXU3URJUHVVIII

Rename each unit of measure.

1.2 lb  oz 2.30 in.  ft 3.6c  fl oz

4. T  lb 5.4 gal  pt 6.12,600 lb  T

7.Compute. a.(8 mi 3 yd) • 7 b.(1 yd 1 ft 8 in.)  8 c.(1 gal 2 qt 3 c) (3 qt 1 pt 2 c)

8.Discuss and Write Why do you multiply to rename larger units as

smaller units and divide to rename smaller units as larger units?

(^34)? (^12)??
(^12)?? (^12)?

Rename units of capacity by using the same process

as you did for units of length or weight.

Customary Units of Capacity

1 cup (c) 8 fluid ounces (fl oz)

1 pint (pt) 2 c

1 quart (qt) 2 pt

1 gallon (gal) 4 qt

1 yd 1 ft 9 in. 3 Rename as like units.

(36 in. 12 in. 9 in.)  3 Combine like units.

57 in.  3 Divide.

19 in. 1 ft 7 in. Rename as feet and inches.

7 ft 16 in. 8 ft 4 in.

37

49

7 16

ft in

ft in

ft in

.

.

.



118

3 26

119

29

yd

yd ft in

yd 0 ft in

ft in.

.

.



Think

1 gal 1 qt

How many quarts are in 6 gallons?

6 gal  qt

6 • 4 1 gal 4 qt, so multiply by 4.

•  26

So there are 26 quarts in 6 gallons.^12

Rename the numbers as

fractions.

4

1

2

13

(^21)
1
2
(^12)?
1
(^22)