3 1 Estimate with Decimals Warm Up Estimate

3 -1 Estimate with Decimals Learn to estimate decimal sums, differences, products, and quotients.

3 -1 Estimate with Decimals Vocabulary compatible numbers Course 2

3 -1 Estimate with Decimals $14. 75 7 7 > 5, so round to

3 -1 Estimate with Decimals Remember! To round to the nearest integer, look at

3 -1 Estimate with Decimals Additional Example 1 A: Estimating Sums and Differences of

3 -1 Estimate with Decimals Additional Example 1 B: Estimating Sums and Differences of

3 -1 Estimate with Decimals Additional Example 1 C: Estimating Sums and Differences of

3 -1 Estimate with Decimals Check It Out: Example 1 A Estimate by rounding

3 -1 Estimate with Decimals You can use compatible numbers when estimating. Compatible numbers

3 -1 Estimate with Decimals Guidelines for Using Compatible Numbers When multiplying. . .

3 -1 Estimate with Decimals Additional Example 2 A: Estimating Products and Quotients of

3 -1 Estimate with Decimals Additional Example 2 B: Estimating Products and Quotients of

3 -1 Estimate with Decimals Check It Out: Example 2 A Use compatible numbers

3 -1 Estimate with Decimals Additional Example 3: Application Cara spent $58. 80 on

3 -1 Estimate with Decimals Check It Out: Example 3 Clem spent $18. 43

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3 -1 Estimate with Decimals Warm Up Estimate. 1. 27 30 • 2. 85 92 • 3. 12 28 • 4. 185 201 • Course 2

3 -1 Estimate with Decimals Learn to estimate decimal sums, differences, products, and quotients. Course 2

3 -1 Estimate with Decimals Vocabulary compatible numbers Course 2

3 -1 Estimate with Decimals $14. 75 7 7 > 5, so round to $15 $13. 20 2 2 < 5, so round to $13 + $13 $28 Course 2

3 -1 Estimate with Decimals Remember! To round to the nearest integer, look at the digit in the tenths place. If it is greater than or equal to 5, round to the next integer. If it is less than 5, keep the same integer. Course 2

3 -1 Estimate with Decimals Additional Example 1 A: Estimating Sums and Differences of Decimals Estimate by rounding to the nearest integer. 4. 5 + 8. 9 Course 2

3 -1 Estimate with Decimals Additional Example 1 B: Estimating Sums and Differences of Decimals Estimate by rounding to the nearest integer. 28. 3 – 11. 7 Course 2

3 -1 Estimate with Decimals Additional Example 1 C: Estimating Sums and Differences of Decimals Estimate by rounding to the nearest integer. 57. 2 + (– 23. 72) Course 2

3 -1 Estimate with Decimals Check It Out: Example 1 A Estimate by rounding to the nearest integer. 6. 7 + 4. 9 Course 2

3 -1 Estimate with Decimals You can use compatible numbers when estimating. Compatible numbers are numbers that replace the numbers in the problem and are easier to use. Course 2

3 -1 Estimate with Decimals Guidelines for Using Compatible Numbers When multiplying. . . round numbers to the nearest nonzero integer or to numbers that are easy to multiply. Course 2 When dividing. . . round numbers so that they divide without leaving a remainder.

3 -1 Estimate with Decimals Additional Example 2 A: Estimating Products and Quotients of Decimals Use compatible numbers to estimate. 45. 99 · 2. 31 Course 2

3 -1 Estimate with Decimals Additional Example 2 B: Estimating Products and Quotients of Decimals Use compatible numbers to estimate. 51. 33 ÷ (– 7. 98) Remember! A prime number has exactly two factors. 1 and itself. So the factors of 51 are 1 and 51. Course 2

3 -1 Estimate with Decimals Check It Out: Example 2 A Use compatible numbers to estimate. 39. 62 · 4. 99 Course 2

3 -1 Estimate with Decimals Additional Example 3: Application Cara spent $58. 80 on 4. 8 pounds of lobster. Use estimation to check whether it is reasonable to spend $12 per pound on lobster. Course 2

3 -1 Estimate with Decimals Check It Out: Example 3 Clem spent $18. 43 on 11. 7 pounds of apples. Use estimation to check whether it is reasonable to spend about $4 per pound on apples? Course 2