Decimal Division Estimate
Patterns
Divide Whole Number by Decimals
Divide Decimal by Whole Numbers
Divide Decimals by Decimals
100


Complete the sentence.

To find an approximate value in a calculation is to _____________________.


Estimate

100

32.8 ÷ 1 =

32.8

100

Choose the correct answer.

What is the quotient of 36  ÷ 0.6?

 

Multiple choice question.

A. 0.6

B. 60

C. 6

D. 600

B. 60

Decimal outside the house. Shift by multiplying by 10 outside and inside. 360 ÷ 6

100

Choose the correct answer.

What is the quotient of 0.40  ÷ 5?

 

Multiple choice question.

A. 0.8

B. 80

C. 0.08

D. 0.8

C. 0.08

Decimal in the house, raise it to the roof and divide normally.

100

Which division problem is equivalent to 9.72  ÷ 0.27?

Multiple choice question.

A. 972  ÷ 27

B. 97.2  ÷ 2.7

C. 97.2  ÷ 27

D. 9,720  ÷ 27

A. 972  ÷ 27

Multiply the divisor by 100 and the dividend by 100.

200

Choose the correct answer.

Which is the most reasonable estimate for 41.53  ÷ 0.63?

A. 7

B. 9

C. 70

D. 90

C. 70

41.53  ÷ 0.63

4,153 ÷ 63

4, 153 ÷ 60

4,200 ÷60=

70

200

Choose the correct answer.

Which is an equivalent representation of 2.8  ÷ 7?

A. 28 ones ÷ 7

B. 28 tens ÷ 7

C. 28 hundredths÷ 7

D. 28 tenths ÷ 7

D. 28 tenths ÷ 7

If I take 28 x 1 = 28

             28 x 10 = 280

             28 x 0.01 = 0.28

             28 x 0.1 = 2. 8

200

What is the quotient?

82 ÷ 0.2 = b


410

200

Harry uses 4.92 pounds of fruit to make 6 bowls of fruit salad. He uses the same amount of fruit in each bowl. How much fruit does Harry use to make each bowl of fruit salad?

0.82 pounds

200

Mr. Blare earns $12.40 an hour. Last week, he earned $471.20. How many hours did he work last week?

38 Hours

300

Which equation shows a reasonable estimate for the quotient 4.48  ÷ 0.07 using compatible numbers and whole numbers?

A. 42  ÷ 7  = 6

B. 40  ÷ 10  = 4

C. 4  ÷ 1  = 4

D. 420  ÷ 7  = 60

D. 420  ÷ 7  = 60

Shift the decimal point in the divisor by multiplying by 100. Do the same to the dividend. Find compatible numbers using the divisor. 

300

Choose the correct answer.

Olive has $4.60 in dimes. Which equation shows how many dimes Olive has?

A. 4.60  ÷ 0.01  = 460 dimes

B. 4.60  ÷ 0.01  = 46 dimes

C. 4.60  ÷ 0.1  = 46 dimes

D. 4.60  ÷ 0.1  = 460 dimes

C. 4.60 ÷ 0.1 = 46

Shift the decimal point to the right once when dividing by 0.1.

300

Which equivalent expression uses multiplication of 10 to help you solve 96 ÷ 1.2? 

A. 96 ÷ 12

B. 96 ÷ 120

C. 960 ÷ 12

D. 960 ÷ 120

C. 960 ÷ 12

300

What is the quotient?

2.4 ÷ 6 = d


0.4

300

Marcus completed a 14.4-mile race in 2.4 hours. If he ran the same amount of miles each hour, how many miles did Marcus run each hour?

6 miles


400

Which equation shows a reasonable estimate for the quotient 5.32  ÷ 0.09 using compatible numbers and whole numbers?

 

A. 5  ÷ 1  = 5

B. 540  ÷ 9  = 60

C. 54  ÷ 9  = 6

D. 50  ÷ 10  = 5

. B. 540  ÷ 9  = 60

400

Choose the correct answer.

Marvin rides his bicycle 83.4 miles in 10 days. If he rides the same amount of miles each day, how many miles does he ride each day?

A. 0.834 mile

B. 8.34 miles

C. 83.4 miles

D. 834 miles

B. 8.34 Miles

Shift the decimal point to the left (smaller) when dividing by 10.

400

What is the quotient?

72  ÷ 4.5  = 

16

400

Lea is selecting a membership at the new gym. The gym offers different monthly plans based on the number of hours spent there each week. Look at the table. 


Plan 𝟏  $20.99      4 Hours

Plan 𝟐  $61.75      7 Hours

Plan 𝟑  $72.50     10 Hours

Which plan has the lowest cost per hour at the gym each week?

 

Multiple choice question.

A. Plan 1

B. Plan 2

C. Plan 3

D. All plans are the same.



A. Plan 1 

400

Choose the correct answer.

The total bill for breakfast is $13.88. Frankie pays $4.68 of the bill. The other people divide the remaining amount equally and each pay $4.60. How many other people were at breakfast with Frankie?

 

Multiple choice question.

A. 1 people

B. 2 people

C. 5 people

D. 3 person

B. 2 People


Subtract first. Then divide the total cost by what each person paid. 

500

Olivia buys beads to make a necklace.

She pays $⁢17.98 for 6 star beads.

She pays $⁢8.98 for 2 heart beads.

She pays $⁢16.16 for 9 glitter beads.

She pays $⁢12.32 for 3 striped beads.

 

Using estimation, which type of bead costs the least for a single bead?

A. heart bead

B. striped bead

C. star bead

D. glitter bead

D. Glitter beads. 

About $2.00

500

Which equivalent expression uses multiplication of 100 to help you solve 52.71 ÷ 0.21? 

A. 5,271 ÷ 21

B. 5,271 ÷ 0.21

C. 52.71 ÷ 21

D. 52.71 ÷ 2.1

A. 5,271 ÷ 21

500

Jonathan makes 7 liters of lemonade to serve at the family picnic. A full cup holds 0.35 liter of lemonade. How many full cups of lemonade can be served?

20 cups

500

Kyra wants to buy tiles to cover 10 square yards of flooring. She can choose from three sizes of tiles. Look at the table 

Tile    Area Covered by 1 tile 

A      0.48 square yard

B      0.6 square yard

C     0.3 square yard

Kyra wants to use fewer than 30 tiles. Which tile would allow her to do this? Choose Tile A, Tile B, or Tile C.

 

B. 0.6 square yards

12 ÷ 0.6 =20 tiles

500

Landon says 4  ÷ 0.05 has the same quotient as 40  ÷ 5. How do you respond to him?

He is incorrect because if you shift the decimal in the first expression by multiplying it by 100, your expression would be 400 ÷ 5.