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Estimating Products and Quotients Worksheet

Estimating Products and Quotients Worksheet
  • Page 1
 1.  
Round each factor to the nearest whole number to estimate the quotient of 95.24 ÷ 18.73.
a.
6
b.
7
c.
8
d.
5


Solution:

95.24 ÷ 18.73
[Original numerical expression.]

= 95 ÷ 19
[Round 95.24 to the nearest whole number 95 and 18.73 to the nearest whole number 19.]

= 5
[Divide.]


Correct answer : (4)
 2.  
Estimate the product of 39.84 and 5.24. Round to the nearest whole number.
a.
195
b.
190
c.
234
d.
200


Solution:

39.84 × 5.24
[Original factors.]

39.84 when rounded to nearest whole number becomes 40.
[The digit in the tenths place is 8, which is greater than 5. So, round up the whole number.]

5.24 when rounded to the nearest whole number becomes 5.
[The digit in the tenths place is 2, which is less than 5. So, round down the whole number.]

40 × 5
[Replace the original factors with their rounded values.]

= 200
[Multiply.]

So, the estimated product of 39.84 and 5.24 = 200.


Correct answer : (4)
 3.  
Estimate the quotient of 54.21 ÷ 17.95. Round to the nearest whole number.
a.
3
b.
4
c.
5
d.
6


Solution:

54.21 ÷ 17.95
[Original numerical expression.]

= 54 ÷ 18
[Round 54.21 to the nearest whole number 54 and 17.95 to the nearest whole number 18.]

= 3
[Divide.]


Correct answer : (1)
 4.  
Between which two numbers does the quotient of 100.98 ÷ 9 lie?
a.
9 and 10
b.
12 and 13
c.
10 and 11
d.
11 and 12


Solution:

100.98 ÷ 9
[Original numerical expression.]

= 99 ÷ 9
[Use compatible number such as 99 for 100.98.]

= 11
[Divide.]

As 100.98 is greater than 99, the quotient of 100.98 ÷ 9 will also be greater than 11.

So, the quotient of 100.98 ÷ 9 lies between the numbers 11 and 12.


Correct answer : (4)
 5.  
Estimate the product of 13.4 and 1.4 after rounding each of them to its nearest whole number.
a.
9
b.
13
c.
17
d.
19


Solution:

13.4 x 1.4
[Original factors.]

13 x 1
[Rounding 13.4 to the nearest whole number 13 and 1.4 to the nearest whole number 1.]

= 13
[Multiply.]


Correct answer : (2)
 6.  
Estimate the product of 0.77 and 97.43 by rounding each factor to the nearest whole number.
a.
99
b.
96
c.
97
d.
98


Solution:

0.77 × 97.43
[Original factors.]

1 × 97
[Rounding 0.77 to the nearest whole number 1 and 97.43 to the nearest whole number 97.]

97
[Multiply.]

The estimated product of 0.77 and 97.43 after rounding each factor to the nearest whole number is 97.


Correct answer : (3)
 7.  
Estimate the product of 2.37 and 4.97 by rounding each factor to the nearest whole number.
a.
8.00
b.
15.00
c.
10
d.
12.00


Solution:

2.37 x 4.97
[Original factors.]

2.00 x 5.00
[Round 2.37 to the nearest whole number 2.00 and 4.97 to the nearest whole number 5.00.]

10
[Multiply.]

The value of 2.37 x 4.97 after being rounded is 10.


Correct answer : (3)
 8.  
Estimate the product of 21.23 and 3.23 after rounding each factor to the nearest whole number.
a.
58
b.
61
c.
63
d.
68


Solution:

21.23 × 3.23
[Original factors.]

= 21 × 3
[Round 21.23 to the nearest whole number 21 and 3.23 to the nearest whole number 3.]

= 63
[Multiply.]


Correct answer : (3)
 9.  
Round 2.33 and 1.85 to their nearest whole numbers and estimate their product.
a.
4
b.
-4
c.
9
d.
-1


Solution:

2.33 x 1.85
[Original factors.]

= 2 x 2
[Round 2.33 to the nearest whole number 2 and 1.85 to the nearest whole number 2.]

= 4
[Multiply.]


Correct answer : (1)
 10.  
Estimate the product of 68.9 and 43.1 using compatible numbers.
a.
2800
b.
2810
c.
2820
d.
2780


Solution:

Compatible numbers are numbers that are easy to compute mentally.

68.9 × 43.1
[Original factors.]

= 70 × 40
[Use compatible numbers such as 70 for 68.9 and 40 for 43.1.]

= 2800
[Multiply.]

The estimated product of 68.9 and 43.1 using compatible numbers = 2800.


Correct answer : (1)

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