Worksheet: Dividing Decimals by Decimals and Estimating Quotients

In this worksheet, we will practice using rounding and compatible numbers to estimate the result of dividing a decimal by a decimal.

Q1:

Calculate 38.72÷8.73, rounding your answer to the nearest tenth.

Q2:

Daniel believed the solution of 5.25𝑚=26.95 would be slightly larger than 6. Is his estimate correct?

  • Ayes
  • Bno

Q3:

Estimate the value of 2.265÷0.52.

Q4:

Calculate 290.6÷0.389, rounding your answer to the nearest tenth.

Q5:

Calculate the following to the nearest tenth: 126.95÷20.

Q6:

Calculate 6.126÷0.327, rounding your answer to the nearest hundredth.

Q7:

Anthony wants to lose 35.23 lb. If he loses 5.26 pounds per week, about how many weeks does he need?

Q8:

Natalie has 25.9 meters of cloth. If she wants to make shirts and each one needs 1.95 meters, about how many shirts can she make?

Q9:

Sophia has $25.60. She wants to buy a number of toys which cost $1.25 each. About how many toys can she buy?

Q10:

Alaska has the longest coastline in the United States at about 6.64thousand miles. Florida has about 1.35thousand miles of coastline. How many times more coastline does Alaska have than Florida? Round your answer to one decimal place.

  • A4.8 times
  • B4.9 times
  • C4.0 times
  • D4.3 times
  • E4.5 times

Q11:

Use compatible numbers to estimate the following. 91.02÷4.9

Q12:

Estimate 94.17÷6.45 using compatible numbers.

Q13:

Mason knows how to divide 0, 0.25, 0.5, 0.75, and 1. Look at how he uses these numbers to help him estimate division of decimal numbers.

By rounding to the nearest multiple of 0.25, he finds that 1.31÷0.42 is about 2.5.

Estimate the following division by rounding each number to the nearest multiple of 0.25:

Q14:

Victoria estimates the quotient of decimal numbers by rounding each number to the nearest whole number.

She finds that 26.85 divided by 8.92 is about 3.

Estimate the following by rounding each number to the nearest whole number. 96.32÷12.15

Q15:

Use rounding to estimate the following. 64.5÷10.3

Q16:

Estimate 15.2÷3.6 to the nearest whole number.

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