Step: 1

The cost of each flower bouquet is $1.85.

Step: 2

Rounding to the nearest whole number, the cost is $2. [The digit in the tenths place is 8, which is greater than 5. So, add 1 to the digit in the units place and delete all the decimal places.]

Step: 3

The number of bouquets we get for $16 = 16 2 = 8.

Correct Answer is : 8

Step: 1

11.62 × 5.46

[Original factors.]

Step: 2

11.62 when rounded to nearest whole number becomes 12.

[The digit in the tenths place is 6, which is greater than 5. So, round up the whole number.]

Step: 3

5.46 when rounded to the nearest whole number becomes 5.

[The digit in the tenths place is 4, which is less than 5. So, round down the whole number.]

Step: 4

12 × 5

[Replace the original factors with their rounded values.]

Step: 5

= 60

[Multiply.]

Step: 6

So, the estimated product of 11.62 and 5.46 = 60.

Correct Answer is : 60

Step: 1

36.10 ÷ 17.77

[Original numerical expression.]

Step: 2

= 36 ÷ 18

[Round 36.10 to the nearest whole number 36 and 17.77 to the nearest whole number 18.]

Step: 3

= 2

[Divide.]

Correct Answer is : 2

Step: 1

18.93 ÷ 3

[Original numerical expression.]

Step: 2

= 18 ÷ 3

[Use compatible number such as 18 for 18.93.]

Step: 3

= 6

[Divide.]

Step: 4

As 18.93 is greater than 18, the quotient of 18.93 ÷ 3 will also be greater than 6.

Step: 5

So, the quotient of 18.93 ÷ 3 lies between the numbers 6 and 7.

Correct Answer is : 6 and 7

Step: 1

0.97 × 78.76

[Original factors.]

Step: 2

1 × 79

[Rounding 0.97 to the nearest whole number 1 and 78.76 to the nearest whole number 79.]

Step: 3

79

[Multiply.]

Step: 4

The estimated product of 0.97 and 78.76 after rounding each factor to the nearest whole number is 79.

Correct Answer is : 79

Step: 1

Compatible numbers are numbers that are easy to compute mentally.

Step: 2

78.9 × 43.3

[Original factors.]

Step: 3

= 80 × 40

[Use compatible numbers such as 80 for 78.9 and 40 for 43.3.]

Step: 4

= 3200

[Multiply.]

Step: 5

The estimated product of 78.9 and 43.3 using compatible numbers = 3200.

Correct Answer is : 3200

Step: 1

3.68 × 2.7

[Original factors.]

Step: 2

= 4 × 3

[Rounding 3.68 to the nearest whole number 4 and 2.7 to the nearest whole number 3.]

Step: 3

= 12

[Multiply.]

Step: 4

Lydia earns about $12 in 2.7 hours.

Correct Answer is : $12

Step: 1

The average rainfall in two different cities are 19.13 in and 29.76 in .

Step: 2

The average rainfall of one city = 19.13 = 19

(19.13 Rounded down to 19)

Step: 3

The average rainfall of another city = 29.76 = 30

(29.76 Rounded up to 30)

Step: 4

The difference between the two rainfalls = 30 - 19 = 11

Step: 5

So, the difference between the two rainfalls is 11 in.

Correct Answer is : 11 in.

Step: 1

2.215 + 4.617

[Original expression.]

Step: 2

The digit in the tenths place of 2.215 is 2, which is less than 5.

Step: 3

So, round the decimal 2.215 to the nearest whole number 2.

Step: 4

The digit in the tenths place of 4.617 is 6, which is greater than 5.

Step: 5

So, round the decimal 4.617 to the nearest whole number 5.

Step: 6

= 2 + 5

[Replace the decimals with their rounded values in the original expression.]

Step: 7

= 7

[Add.]

Step: 8

The estimated sum of the two decimals after rounding to the nearest whole numbers = 7.

Correct Answer is : 7

Step: 1

If the digit in the tenths place is greater than or equal to 5, round the decimal up. Otherwise, round the decimal down.

Step: 2

The decimals 1.64 and 5.42 are rounded to whole numbers 2 and 5.

[1.64 is rounded up and 5.42 is rounded down.]

Step: 3

Estimated money spent = $2 + $5 = $7.

Correct Answer is : $7

Step: 1

Estimated result of the question can be obtained by dividing the two numbers after converting them to the whole numbers.

Step: 2

The rounded to the whole number of 31.98 is 32 and of 4.316 is 4.

Step: 3

The result ≈ 32 4 = 8.

Correct Answer is : 8

Step: 1

1.917 ≈ 2

[Round to the whole number.]

Step: 2

17.949 ≈ 18

[Round to the whole number.]

Step: 3

The product of two numbers = 2 × 18 = 36.

Correct Answer is : 36

Step: 1

Money earned by Tanya in 2.6 hours = 2.81 × 2.6

[Original factors.]

Step: 2

= 3 × 3

[Rounding 2.81 to the nearest whole number 3 and 2.6 to the nearest whole number 3.]

Step: 3

= 9

[Multiply.]

Step: 4

Tanya earns about $9 in 2.6 hours.

Correct Answer is : $9

Step: 1

Let m be the money Wilma spends at each of the 8 stores she visits.

Step: 2

Wilma spends $54.84 in buying tapes at each of the 8 stores she visits.

Step: 3

[Original factors.]

Step: 4

[Round 54.84 to the nearest whole number 55.]

Step: 5

[Multiply.]

Step: 6

Wilma spent $440 altogether for buying tapes at each store.

Correct Answer is : $440

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