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Arithmetic

Estimating Sums, Differences,

Products, and Quotients

Estimating Sums

Use rounded numbers to estimate sums. For example:

Give an estimate for the sum 3, 741 + 5,

021 rounded to the nearest thousand.

3, 741 + 5,

021

↓ ↓

4, 000 + 5, 000 = 9,

000

So 3, 741 + 5, 021 . 9,

000

(The symbol ≈ means is approximately equal to.)

Estimating Differences

Use rounded numbers to estimate differences. For example:

Give an estimate for the difference 317, 753 - 115,

522 rounded to the nearest

hundred thousand.

317, 753 - 115,

522

↓ ↓

300, 000 - 100, 000 = 200,

000

So, 317, 753 - 115, 522 . 200,

000

Estimating Products

Use rounded numbers to estimate products. For example:

Estimate the product of 722 # 489 by rounding to the nearest hundred.

722 # 489

↓ ↓

700 # 500 = 350,

000

So 722 # 489 . 350,

000

197

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