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Five-Minute Check (over Lesson 3–8)
Main Idea
Example 1:Divide by Decimals
Example 2:Zeros in the Quotient and Dividend
Example 3:Zeros in the Quotient and Dividend
Example 4:Round Quotients
• Divide decimals by decimals.
Divide by Decimals
Find 59.4 ÷ 3.6.
Place the decimal point.Divide as with whole numbers.
Annex a zero to continue.
Estimate 60 ÷ 4 = 15
1
–36 4
6
–216
.5
0–180
0
23
18
→
Multiply by 10 to make a whole number.
Multiply by the same number, 10.
0
Divide by Decimals
Check 16.5 × 3.6 = 59.4
Answer: 59.4 divided by 3.6 is 16.5. Compare to the estimate.
Interactive Lab: Dividing Decimals
1. A
2. B
3. C
4. D
A B C D
0% 0%0%0%
A. 1.35
B. 1.42
C. 13.5
D. 14.2
Find 72.9 ÷ 5.4.
Zeros in the Quotient and Dividend
Find 8.1 ÷ 0.054.
Answer: So, 8.1 ÷ 0.054 = 150.
Place the decimal point.
Write a zero in the ones place of the quotient because 0 ÷ 54 = 0.
1
–54 0
5
–270
0.
0
27
0
→
Check150 × 0.054 = 8.1
Multiply each by 1,000.
1. A
2. B
3. C
4. D
A B C D
0% 0%0%0%
A. 13.0
B. 13.3
C. 130
D. 133
Find 81.9 ÷ 0.63.
Zeros in the Quotient and Dividend
Find 0.052 ÷ 1.3.
Answer: So, 0.052 ÷ 1.3 = 0.04.
Place the decimal point.
13 does not go into 5, so write a 0 in the tenths place.
→
Check0.04 × 1.3 = 0.052
Multiply each by 10.
0
–0 5
.0
–00
4
2–52
0
0
5
1. A
2. B
3. C
4. D
A B C D
0% 0%0%0%
A. 0.006
B. 0.06
C. 0.07
D. 6
Find 0.072 ÷ 1.2.
STOCK Leon bought a stock at $42.88 per share. If he spent $786.85, how many shares did he buy? Round to the nearest tenth.
Find $786.85 ÷ $42.88.
Round Quotients
Multiply the divisor and the dividend by 100.
Answer: To the nearest tenth, 786.85 ÷ 42.88 = 18.4. So, Leon was able to buy about 18.4 shares.
Round Quotients
→1
–4288 5
8
–34304
.3
0–12864
5
3580
1501
–2144021460
20
00
1. A
2. B
3. C
4. D
A B C D
0% 0%0%0%
A. 32.6
B. 32.8
C. 36.2
D. 36.4
STOCK Kyle bought a stock at $23.55 per share. If he spent $771.28, how many shares did he buy? Round to the nearest tenth.
End of the Lesson
Five-Minute Check (over Lesson 3–8)
Image Bank
Math Tools
Modeling Decimals
Dividing Decimals
Modeling Decimals
1. A
2. B
3. C
4. D
A B C D
0% 0%0%0%
(over Lesson 3-8)
Find 12.89 ÷ 10. Round to the nearest tenth if necessary.
A. 0.1289
B. 1.2
C. 1.3
D. 1.389
1. A
2. B
3. C
4. D
A B C D
0% 0%0%0%
(over Lesson 3-8)
Find 82.5 ÷ 3. Round to the nearest tenth if necessary.
A. 24.15
B. 24.75
C. 27.5
D. 28.80
1. A
2. B
3. C
4. D
A B C D
0% 0%0%0%
(over Lesson 3-8)
Find 7.2 ÷ 6. Round to the nearest tenth if necessary.
A. 1.2
B. 1.3
C. 1.44
D. 13.2
1. A
2. B
3. C
4. D
A B C D
0% 0%0%0%
(over Lesson 3-8)
Find 4.36 ÷ 4. Round to the nearest tenth if necessary.
A. 1.18
B. 1.1
C. 1.4
D. 1.5
1. A
2. B
3. C
4. D
A B C D
0% 0%0%0%
(over Lesson 3-8)
If $7.85 is to be divided equally among 5 people, how much does each person get?
A. $1.47
B. $1.50
C. $1.57
D. $1.87
1. A
2. B
3. C
4. D
A B C D
0% 0%0%0%
(over Lesson 3-8)
What is the mean of this set of gymnastic scores? 7.4, 7.1, 3.3, 9.1, 8.2
A. 7.1
B. 7.05
C. 7.02
D. 7.01