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Warm Up *have work from test moz on desk. Practice – use expanded form and distributive property 17 * 3 23 * 6 Practice – use expanded form and distributive property 305 * 48 10) 235 * 24. Announcements. Homework Testmoz quiz (multiplying decimals – due Thursday)
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Warm Up *have work from test moz on desk Practice – use expanded form and distributive property 17 * 3 • 23 * 6 Practice – use expanded form and distributive property 305 * 48 10) 235 * 24
Announcements • Homework • Testmoz quiz (multiplying decimals – due Thursday) • Test Corrections – Percents Test (due Friday) • Weekly Math #17 (due Friday) Remind 101 • TO: 704-815-6025 • TEXT THIS: @b2615
Vocab Review • In the equation 4 * 3 = 12, 12 is the _________. • The _________ of 6 are 1,2,3, and 6. • The numbers 18, 27, and 72 are _________ of 9. Word Bank: Sum multiples Difference factors Product Least Common Multiple Quotient Greatest Common Factor Numerator denominator
Review 5.NBT.1 Practice 1.26 * 10 Which way does the decimal Practice 1.26 ÷ 10 point move? • 6.0912 * 10^5 (100000) • 719.25 ÷ 10^3 (1000)
Review • Remember Multiplication = 3 * 5 = 5 + 5 + 5 3 * 0.17 = 0.17 + 0.17 + 0.17 • Remember decimals are like ___________ 3 * 0.32 Repeated addition fractions
Multiplying Decimals with Standard Algorithm • Step 1 : • Estimate product • Step 2 : • Stack numbers vertically and multiply (ignore decimals at first • Step 3: • Insert decimal point into product by: A – Look back at factors B – Count total # of decimal places C – Move product’s decimal point LEFT total # of decimal places
Multiplying Decimals with Standard Algorithm • Practice : 4.08 * 1.08 1 – Estimate 2 – Put both numbers into fraction form • Why move the decimal point? • Make both numbers into whole numbers 4.08 * 1.08 *
Practice • Ben wants to buy a baseball cap that costs $24.50. The state and sales tax is 8% or _____. How much will he pay in sales tax? • 1 : Estimate • 2 : Make both values fractions • 3 : multiply • 4: write as decimal
Rules about multiplying decimals • 5 * 1.05 = _________ than 1st # • 5 * 0.05 = _________ than 1st # • 0.5 * 0.05 = _________ than _______
Warm Up *have work from test moz on desk Practice – use expanded form and distributive property 305 * 48 11) 66 * 252 12) 304 *10
Announcements • Homework • Testmoz quiz (multiplying decimals – due Thursday) • Test Corrections – Percents Test (due Monday) • Weekly Math #17 (due Monday) Remind 101 • TO: 704-815-6025 • TEXT THIS: @b2615
Real World with Multiplying Decimals • Finding cost of groceries and fabric • Area of geometric shapes • Gas and electric bill (171.187 Kwh @ $0.128 per Kwh)
Review 5.NBT.1 Practice 1.26 * 10 Which way does the decimal Practice 1.26 ÷ 10 point move? • 74.1 * 10^4 (__________) • 381.8 ÷ 10^5 (__________)
Review • Remember Multiplication = • Remember decimals are like ___________ Repeated addition fractions
Multiplying multi-digit decimals • Four 6th graders are working on a project. They are going to paint a large banner and need to protect the floor. They measured the floor, which is 3.05 meters by 3.658 meters. How many square meters of plastic do they need to cover the entire floor? • 1 : Estimate • 2 : Fractions – What will denominator be? • 3 : Use standard algorithm – how many decimal places?
Multiplying Decimals with Standard Algorithm • Step 1 : • Estimate product • Step 2 : • Stack numbers vertically and multiply (ignore decimals at first • Step 3: • Insert decimal point into product by: A – Look back at factors B – Count total # of decimal places C – Move product’s decimal point LEFT total # of decimal places
Practice • 0.3 * 0.03 5) 3.04 * 0.6 • 1.4 * 0.21 6) 0.66 * 2.52 • 0.06 * 1.02 7) 0.2 * 0.94 * 1.3 • 12.6 * 2.1 8) 1.54 * 3.05 * 2.6
Practice • Madeline studies honeybees. Every week she weighs the same honeybee hive. The first week the hive weighs 11.607 kilograms. Its weight increases about 0.204 kilograms every week. At this rate, how many kilograms will it increase in 7.5 weeks? • Your fingernails grow at an average rate of 2.25 inches per year. If they grew at an average rate, you never cut them, and they did not break, how long would your fingernails be in 4.5 years?
Practice 3) The greatest skateboarding speed recorded is 78.37 mph by Roger Hickey in 1990. If he could keep up that speed for 15 minutes, how far could he go? 4) By the age of 21, the best violinists and pianists will have practiced at least 10,000 hours. If you practice an instrument 45 minutes a day for 365.25 days, the length of 1 year, how many hours will you have practiced?
Test Corrections • Work on Test Corrections and/or Weekly Math #17