1. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals Warm Up California Standards Lesson Presentation Preview

2. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals Warm Up Estimate by rounding to the nearest integer. 1. 3.62 + 4.12. 8.23 – 7.47 3. 8.52 – 3.164. 5.826 + 11.729 Multiply. 81 618 63,992 102,920 584,552 4,530 5. 842  76 6. 1,240  83 7. 821  712 8. 302  15

3. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals Extension of NS2.3 Solve addition, subtraction, multiplication, and division problems, including those arising in concrete situations, that use positive and negative integers and combinations of these operations. California Standards

4. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals One of the coolest summers on record in the Midwest was in 1992. The average summertime temperature that year was 66.8°F. Normally, the average temperature is 4°F higher than it was in 1992. To find the normal average summertime temperature in the Midwest, you can add 66.8°F and 4°F.

5. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals Use zero as a placeholder so that both numbers have the same number of digits after their decimal points. Add each column just as you would add integers. Line up the decimal points. 70.8 66.8 + 4.0 The normal average summertime temperature in the Midwest is 70.8°F.

6. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals Add. Estimate to check whether the answer is reasonable. 4.55 + 11.3 Line up the decimal points. Use zero as a placeholder. 4.55 + 11.30 15.85 Add. Estimate 5 + 11 = 1615.85 is a reasonable answer. Additional Example 1A: Adding and Subtracting Decimals

7. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals 28 – 15.911 28.000Use zeros as placeholders. – 15.911 12.089Subtract. 7 9 9 10 Line up the decimal points. Additional Example 1B: Adding and Subtracting Decimals Subtract. Estimate to check whether the answer is reasonable. Estimate 28 – 16 = 1212.089 is a reasonable answer.

8. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals To multiply decimals, multiply as you would with integers, and then place the decimal point. The product should have the same number of decimal places as the sum of the decimal places in the factors. 7  8 8 56 0.7  0.8 1 decimal place 2 decimal places + Same digits 0.

9. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals Multiply. Estimate to check whether the answer is reasonable. Additional Example 2A: Multiplying Decimals 2.4  2 1 decimal place 0 decimal places 2.4  2 4.8 1 + 0 = 1 decimal place Estimate 2  2 = 4 4.8 is a reasonable answer.

10. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals Multiply. Estimate to check whether the answer is reasonable. Additional Example 2B: Multiplying Decimals –3.84  0.9 2 decimal places 1 decimal place –3.84  0.9 –3.4562 + 1 = 3 decimal places Estimate –4  1 = –4 –3.456 is a reasonable answer.

11. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals To find your weight on another planet, multiply the relative gravitational pull of the planet and your weight. The relative gravitational pull on Mars is 0.38. What would a person who weighs 85 pounds on Earth weigh on Mars? Additional Example 3: Application 2 decimal places 0 decimal places 0.38  85 1 90 2 + 0 = 2 decimal places32.30 + 30 40 The person would weigh 32.3 pounds on Mars.

12. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals Add. Estimate to check whether the answer is is reasonable. 6.78 + 13.2 Line up the decimal points. Use zero as a placeholder. 6.78 + 13.20 19.98 Add. Estimate 7 + 13 = 2019.98 is a reasonable answer. Check It Out! Example 1A

13. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals Multiply. Estimate to check whether the answer is reasonable. Check It Out! Example 2A 3.2  1.6 1 decimal place 3.2  1.6 1 92 1 + 1 = 2 decimal places + 3 20 5.12 Estimate 3  2 = 6 5.12 is a reasonable answer.

14. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals Check It Out! Example 3 Jet fuel weighs approximately 6.2 pounds per gallon. If a plane was serviced with 1,012 gallons of fuel, how many pounds of fuel were used? 1 decimal place 202 4 1 + 0 = 1 decimal place 6274.4 + 6072 0  6.2 1,012 0 decimal places A plane would use 6,274.4 pounds of fuel.

15. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals Lesson Quiz 2.56; Estimate: 7 – 4 = 3 21.25; Estimate: 7 + 14 = 21 Add, subtract, or multiply. Estimate to check whether your answer is reasonable. 1.6.98 + 14.27 2. 6.72 – 4.16 3. 3.4  4.1 4. 7.62  (–5.4) 5. Dennis runs 7.2 miles per day. How far does he run in 5 days? 13.94; Estimate: 3 4 = 12 –41.148; Estimate: 8 (–5) = –40 36 miles

16. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals Check It Out! Example 1B Subtract. Estimate to check whether the answer is reasonable. Estimate 34 – 12 = 2221.538 is a reasonable answer. 34 – 12.462 34.000Use zeros as placeholders. – 12.462 21.538Subtract. 3 9 9 10 Line up the decimal points.

17. Holt CA Course 1 4-7 Adding, Subtracting, and Multiplying Decimals Multiply. Estimate to check whether the answer is reasonable. Check It Out! Example 2B –2.96  0.7 2 decimal places 1 decimal place –2.96  0.7 –2.0722 + 1 = 3 decimal places Estimate –3  1 = –3 –2.072 is a reasonable answer.