Estimating Products and Estimating Quotients

Estimating and Adjusting Quotients

5th Grade Mathematics

• Use compatible numbers

  • Our friendly numbers

  • Basic facts

• 56,000 ÷ 70 = 800

  • Basic Fact = 56 ÷ 7 = 8

Estimating Quotients

• Decide if our estimate given is

  • too high, too low, or correct

• If the estimate is too high, the product with the first digit will be too large and cannot be subtracted

  • Then, we decrease

• If the estimate is too low, the difference will be greater than the divisor.

  • Then, we increase

Adjusting Quotients

Adjusting Quotients

​too high

​too low

Multiple Select

Select all the compatible numbers to estimate 3,426 ÷ 6?

(basic fact)

• 3,000 ÷ 6

• 3,600 ÷ 6

• 3,400 ÷ 6

• 3,000 ÷ 5

Multiple Select

What are the best compatible numbers to estimate 2,637 ÷ 39?

• 2,800 ÷ 40
• 2,400 ÷ 40
• 3,200 ÷ 40

• 2,700 ÷ 30

Multiple Choice

What is the basic fact of 2,800 ÷ 40?

• 28 ÷ 4

• 280 ÷ 40

• 2 ÷ 4

• 28 ÷ 40

Multiple Choice

What is the estimate of 2,800 ÷ 40?

• 7

• 70

• 700

• 6

Multiple Choice

Divide: 452 ÷ 31 = ?

• 14

• 15

• 14 r 17

• 14 r 18

Multiple Choice

Oliver estimates the first digit in the quotient

9

75|6,234

Is the estimate too high, too low, or correct?

• too high

• too low

• correct

• 75

  x 9

  675
  r

• 623

  - 675

  NOT Possible

Adjusting Quotients

Too high

9

75|6,234

Multiple Choice

9

75|6,234

What is the correct estimate

• 8

• 9

• 6

• 7

Fill in the Blank

What is the unknown number?

_ ÷ 22 = 134

,

Fill in the Blank

What is the unknown number?

429 ÷ _ = 33