Solving Equations with Decimals 3.6. Class Announcements Warm-Up Homework Check/Questions Begin Section 3.6 Notes Mini-Break Conclude Section 3.6 Notes.

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Presentation transcript:

Solving Equations with Decimals 3.6

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

Warm-Up Solve the equations. 3.4

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

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

x ≈ 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?

x ≈ 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.

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!

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

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.

$4.30 Three people want to share the cost of a pizza equally. The pizza costs $ 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!

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.

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.

Find the percents of the prices, rounding to the nearest cent. 1.5% of $ % of $ % of $ % of $48.28 $1.17 $4.38 $11.00 $7.24 Example 5 Finding Percents of Numbers

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

Exit Slip – Turn in when your done! Solve the equation. Round result to nearest HUNDREDTH = m x = 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.) Quiz tomorrow!