1. Solving Equations with Decimals 3.6

2. Class Announcements Warm-Up Homework Check/Questions Begin Section 3.6 Notes Mini-Break Conclude Section 3.6 Notes Exit Slip Begin Homework Today’s Schedule

3. Warm-Up Solve the equations. 3.4

4. Objectives: Solve equations involving decimals. Apply decimal equations to real-life applications Vocabulary: exact answer, approximate answer, percent of Solving Decimal Equations 3.6

5. Vocabulary: exact answer – use an = approximate answer – use an ≈ percent of – change the percent to a decimal and multiply Solving Decimal Equations 3.6 20% of 32.20 x32 = 6.4

6. x ≈ -1.40 Solve the equation. Round to the nearest hundredth. Example 1 Round for the Final Answer 1.Simplify both sides of the equation. 2.Put variable on 1 side. 3.Do the opposite operation to both sides. 1)Addition/Subtraction 2)Multiplication/Division 4.Check! Why did we use the ≈ symbol?

7. x ≈ -1.12 Example 1 Round for the Final Answer 1.Simplify both sides of the equation. 2.Put variable on 1 side. 3.Do the opposite operation to both sides. 1)Addition/Subtraction 2)Multiplication/Division 4.Check! Solve the equation. Round to the nearest hundredth.

8. x ≈ 5.5 Solve the equation. Round to the nearest tenth. Example 2 Solve Equations with Decimals 1.Simplify both sides of the equation. 2.Put variable on 1 side. 3.Do the opposite operation to both sides. 1)Addition/Subtraction 2)Multiplication/Division 4.Check!

9. Star Game Each student will receive a magnet If you get the problem correct on your first try, you can slide your magnet from star to star DO NOT MOVE ANYONE ELSE’S MAGNET

10. y ≈ 29.1 Example 2 Solve Equations with Decimals 1.Simplify both sides of the equation. 2.Put variable on 1 side. 3.Do the opposite operation to both sides. 1)Addition/Subtraction 2)Multiplication/Division 4.Check! Solve the equation. Round to the nearest tenth.

11. $4.30 Three people want to share the cost of a pizza equally. The pizza costs $12.89. What should each person pay? Example 3 Rounding for a Practical Answer 1.Simplify both sides of the equation. 2.Put variable on 1 side. 3.Do the opposite operation to both sides. 1)Addition/Subtraction 2)Multiplication/Division 4.Check!

12. n ≈ 5.1 Example 4 Change Decimals to Integers 1.Simplify both sides of the equation. 2.Put variable on 1 side. 3.Do the opposite operation to both sides. 1)Addition/Subtraction 2)Multiplication/Division 4.Check! Solve the equation. Round to the nearest tenth.

13. n ≈ 4.0 Example 4 Change Decimals to Integers 1.Simplify both sides of the equation. 2.Put variable on 1 side. 3.Do the opposite operation to both sides. 1)Addition/Subtraction 2)Multiplication/Division 4.Check! Solve the equation. Round to the nearest tenth.

14. Find the percents of the prices, rounding to the nearest cent. 1.5% of $23.45 2.7% of $62.50 3.11% of $99.99 4.15% of $48.28 $1.17 $4.38 $11.00 $7.24 Example 5 Finding Percents of Numbers

15. Example 6 Problems with Decimals You buy a baseball cap at the stadium for a total cost of $35.51. This included the 11% sales tax. What was the original cost of the cap? $31.99

16. Exit Slip – Turn in when your done! Solve the equation. Round result to nearest HUNDREDTH. 1.53 = 89 + 14m 2.5.31x + 8.25 = 8.54x – 1.19 Algebra 1(A/B) Tonight’s Homework Assignment: pg. 169 #5-13 Check odd answers in back of book (B.o.B.) 3.4-3.6 Quiz tomorrow!