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 |

[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 |

[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 |

[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 |

[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 |

[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 |

[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 |

[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 |

[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 |

[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 |

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)