Mental Math
Compatible Numbers
Partial Quotients
Long Division
100

6,300 ÷ 90 =

70

100

Estimate using compatible numbers.


554 ÷ 62

540 ÷ 60 = 90 (Or a close answer)

100


Show all work.

210 ÷ 15

14

100

Solve using long division.


966 ÷ 23

42

200

56,000 ÷ _____ = 800

70

200

Estimate using compatible numbers.


4,322 ÷ 81

4000 ÷ 80 = 50 (Or close answer)

200

Show all work.

247 ÷ 19

13

200

375 ÷ 40

9 R15

300

Ella wants to divide 480 oranges equally into 60 baskets. How many oranges will she put in each basket?

8 oranges

300

A company purchased 3,128 bottles of water. Each department needs 55 bottles. Find compatible numbers to estimate the number of departments that can get the bottles they need.

3000 ÷ 60 = 50 departments

300

A 969-acre wildlife preserve has 19 cheetahs. How many acres does each cheetah have to itself, if each cheetah roams the same number of acres? Solve using partial quotients.

51 acres

300

Rita's family is moving from Grand Junction to Dallas. The distance is about 980 miles. The moving van goes about 60 miles each hour. How many hours does the van take to reach Dallas? Round your answer to the nearest whole number. Solve using long division.

About 16 or 17 hours.

400

Ten friends won the grand prize in the raffle. They won a gift card for two thousand digital song downloads. How many songs can each friend download if they divide the prize equally?

200 songs

400

Janelle earned $889 in 3 months for babysitting. If she was paid the same amount for each month, about how much did she earn per month?

She earned about $300 each month.

400

At the county fair, the Ferris wheel takes five hundred fifteen seconds to revolve five times. How long will one revolution take? Solve using partial quotients.

103 seconds

400

It takes the planet Mars eight thousand two hundred forty-four days to make twelve complete orbits around the sun. How many days does it take for Mars to complete one orbit?

687 days

500

If Jasmine roller skates two hundred eighty miles in seven weeks and skates the same distance each week, how many miles does she skate each week?

40 miles 

500

Roberto is collecting stuffed toys to donate to eight different charities. He wants to donate about the same amount to each charity. If Roberto collected 711 stuffed toys, about how many should he donate to each charity?

He should donate about 90 toys to each charity.

500

The Merry-go-round takes six hundred nine seconds to revolve 3 times. The Roller coaster takes 832 seconds to revolve 4 times. Which ride takes longer for 1 revolution? How many seconds does that ride take? Use partial quotients to solve.

Roller Coaster takes longer for one revolution. One revolution takes 208 seconds.

500

A score is a group of twenty things. For example, a period of twenty years is called a score of years. The Statue of Liberty was dedicated in 1886. About how many scores of years ago was that? Round to the nearest whole number.

94 or 95 years

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