# 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.

**Q2: **

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

- Ayes
- Bno

**Q4: **

Calculate , rounding your answer to the nearest tenth.

**Q5: **

Calculate the following to the nearest tenth: .

**Q7: **

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

**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 miles. Florida has about 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.

**Q12: **

Estimate 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 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.

**Q15: **

Use rounding to estimate the following.

**Q16: **

Estimate to the nearest whole number.