Download Review for Mastery 4-9

Name
Date
Class
California Standards AF2.1
LESSON
Review for Mastery
4-9
Metric Measurements
You can use the relationships in this table to help you convert metric units.
Length
1 cm 10 mm
1 m 100 cm 1,000 mm
1 km 1,000 m
Mass
1 g 1,000 mg
1 kg 1,000 g
Capacity
1 L 1,000 mL
1 kL 1,000 L
To change larger units to smaller units, multiply.
1 L 1,000 mL
Liters are larger than milliliters,
so multiply by 1,000.
Move the decimal point 3 places
to the right: 5.300
5.3 L mL
5.3 1,000 5,300
5.3 L 5,300 mL
To change smaller units to larger units, divide.
46 cm 1 m 100 cm
Centimeters are smaller than
meters, so divide by 100.
Move the decimal point 2
places to the left: 046
m
46 100 0.46
46 cm 0.46 m
Convert each measure.
1. 15 cm to millimeters
2. 964 g to kilograms
Think: 1 cm Think 1 kg mm
Multiply 15 by
.
15 cm =
g
Divide 964 by
964 g mm
3. 4.9 kL to liters
kg
4. 3,531 cm to meters
4.9 by
4.9 kL =
3,531 by
3,531 cm L
5. 468 mg to grams
468 mg =
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
m
6. 0.69 kL to liters
0.69 kL g
34
L
Holt Mathematics
California Standards Extension of
California Standards AF2.1
NS2.3
LESSON
Review for Mastery
LESSON
Review for Mastery
4-8
Dividing Decimals
4-9
Metric Measurements
You can use the relationships in this table to help you convert metric units.
To divide a decimal by a decimal:
Step 1: Make the divisor a whole number by moving the decimal
point to the right.
Length
1 cm 10 mm
1 m 100 cm 1,000 mm
1 km 1,000 m
Step 2: Move the decimal point in the dividend the same number
of places. Remember to place the decimal in the quotient
directly above the decimal point in the dividend.
Capacity
1 L 1,000 mL
1 kL 1,000 L
To change larger units to smaller units, multiply.
Step 3: Divide.
1.68 0.3
Divide:
Mass
1 g 1,000 mg
1 kg 1,000 g
0.3 1.68
5.6
苶6
苶.8
苶
3冄1
15
18
18
1 L 1,000 mL
Liters are larger than milliliters,
so multiply by 1,000.
Move the decimal point 3 places
to the right: 5.300
5.3 L mL
5.3 1,000 5,300
5.3 L 5,300 mL
3 16.8
The divisor, 0.3, has 1 decimal
place. Move the decimal point 1
place to the right in both the divisor
and the dividend.
To change smaller units to larger units, divide.
46 cm 1 m 100 cm
Centimeters are smaller than
meters, so divide by 100.
Move the decimal point 2
places to the left: 046
m
46 100 0.46
Complete.
46 cm 0.46 m
0.8
苶.4
苶8
苶
1. 5.6冄4
a. How many decimal places
are in the divisor?
1
b. How many places do you
need to move each
decimal point?
Convert each measure.
1. 15 cm to millimeters
1
56冄4苶4
苶.8
苶
c. Rewrite the division.
d. Complete the division.
What is the quotient?
Think: 1 cm 10
Multiply 15 by
10
150
15 cm =
0.8
Multiply
0.7
405
1.2
苶6
苶.4
苶5
苶
3. 0.09冄3
苶.7
苶0
苶8
苶
4. 0.59冄0
.
33
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All rights reserved.
California Standards
Holt Mathematics
Divide
4.2 4.2
There are
3
x 1.9 e 7.1 7.1 9.3 7.1
2.2
e
w 8.3
8.3
4.12
w
b 5.75
5.7g 5.7
45.6 g
5.75
4.18
6.2
b
5.7g 45.6
5.
6f
8
f
:
3
There are
5
8
2
8
1
4
apples and
8
8
to
3
, or
5
3
or
:
n
15
0.14
0.14 n 15 0.14
0.14
n
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All rights reserved.
6.3
2.1
•
16
3
to
5
,
1
m
35
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8
, or
8
apples and
pieces of fruit in all. So, the
to
2
, or
1
:
2
1
2
, or .
6. daisies to roses
3
8
3 to 4; 3:4; 4
8 to 9; 8:9; 9
8. roses to all flowers
9
29
3
3 to 2; 3:2; 2
•
to
5
8
ratio of apples to all pieces of fruit is
3
5
5. roses to irises
1.34
m
9.1
6.3
5
, or .
A large bouquet of flowers is made up of 18 roses, 16 daisies,
and 24 irises. Write each ratio in all three forms.
m
9.1
6.3
8.
8
There are
, or .
5
:
4. apples to all pieces of fruit
bananas and
oranges. So, the ratio of
3
oranges and
apples. So, the ratio of oranges
to apples is
8
3
7. irises to daisies
7.
You can read
the ratios as 2 to 8
or 1 to 4.
5
There are
, or .
bananas to oranges is
5.75
11.95
8.04
Ratio in simplest form
1 to 4
1:4
3. bananas to oranges
6f 8.04
6.
5.7
1.9
7.3
b 5.75 6.2
4.
8.3
8
5.4 x
w 8.3 4.12
3.
1.9
Ratio
2 to 8
2:8
bananas. So, the ratio of apples
to bananas is
x 1.9 5.4
2.
Holt Mathematics
In a basket of fruit, there are 8 apples, 3 bananas, and
5 oranges. Write each ratio in all three forms.
1. apples to bananas
2. oranges to apples
a 75.6
e 7.1 9.3
L
34
• writing a fraction
Solve.
1.
690
NS1.2
• using the word to
• using a colon (:)
• Use division to solve a multiplication equation involving decimals, and use
multiplication to solve a division equation involving decimals.
y 2.5
0.69 kL g
Tamara has 2 dogs and 8 fish. The ratio of dogs to fish can be
written in three different ways.
n 24.8 15.2
n 24.8 24.8 15.2 24.8
n 40
a
18
4.2
a
18
4.2
m
A ratio is a comparison of two numbers.
• Use addition to solve a subtraction equation involving decimals, and use subtraction
to solve an addition equation involving decimals.
3.6y
9
3.6
3.6
100
3,531 by
35.31
LESSON
You can solve equations with decimals the same way you solve equations with
whole numbers. Remember to always perform the same calculation on both sides
of the equation to keep the two sides equal.
3.6y 9
kg
Review for Mastery
5-1 Ratios
Review for Mastery
LESSON
4-10 Solving Equations Containing Decimals
x 1.45 6.7
x 1.45 1.45 6.7 1.45
x 8.15
g
6. 0.69 kL to liters
0.468
California Standards
0.964
3,531 cm L
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
AF1.1
1,000
1,000
5. 468 mg to grams
468 mg =
1,000
Divide 964 by
4. 3,531 cm to meters
4.9 by
4,900
4.9 kL =
Think 1 kg 964 g mm
3. 4.9 kL to liters
Divide.
苶.6
苶4
苶
2. 5.2冄3
2. 964 g to kilograms
mm
9 to 29; 9:29; 6.3
57.33
Holt Mathematics
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All rights reserved.
9
36
Holt Mathematics
Holt Mathematics