Estimate products – multiply by larger numbers

What is Estimation? πŸ€”

Estimation means finding an approximate answer instead of the exact answer.

Helps to save time ⏱️

Useful for checking your answers βœ…

Rounding Numbers πŸ”’

Before multiplying, round the numbers to the nearest:

10 (for tens)

100 (for hundreds)

1,000 (for thousands)

Example:

47 β†’ 50

326 β†’ 300

Estimate the Product βœ–οΈ

Steps:

Round each number.Multiply the rounded numbers.Write your answer as an approximation.

Example:

48 Γ— 27 β‰ˆ 50 Γ— 30 = 1500

βœ… Estimated product = 1500

When to Use Estimation πŸ“Œ

Checking homework βœ”οΈ

Shopping πŸ›’

Quick calculations ⏩

Tips for Estimating πŸ’‘

If numbers are close to a multiple of 10, round them to 10s

If numbers are big, round to 100s or 1,000s

Estimation does not have to be exact, it’s about being close

Fun Trick! πŸŽ‰

Use friendly numbers (10, 20, 50, 100…) for easier multiplication.
Example: 52 Γ— 19 β‰ˆ 50 Γ— 20 = 1000

67 Γ— 48

Round the first factor to the nearest ten.

67 Γ— 48 = ?
70 Γ— 48 = ?

Round the second factor to the nearest ten.

70 Γ— 48 = ?
70 Γ— 50 = ?

Now multiply:

70 Γ— 50 = 3,500

The product is approximately 3,500.

Compare your estimate to the exact answer:

67 Γ— 48 = 3,216

77 Γ— 41

Round the first factor to the nearest ten.

77 Γ— 41 = ?
80 Γ— 41 = ?

Round the second factor to the nearest ten.

80 Γ— 41 = ?
80 Γ— 40 = ?

Now multiply:

80 Γ— 40 = 3,200

The product is approximately 3,200.

Compare your estimate to the exact answer:

77 Γ— 41 = 3,157

93 Γ— 68

Round the first factor to the nearest ten.

93 Γ— 68 = ?
90 Γ— 68 = ?

Round the second factor to the nearest ten.

90 Γ— 68 = ?
90 Γ— 70 = ?

Now multiply:

90 Γ— 70 = 6,300

The product is approximately 6,300.

Compare your estimate to the exact answer:

93 Γ— 68 = 6,324

Let’s practice!πŸ–ŠοΈ