Multiplication with Decimals and Whole Numbers. How can you use properties and place value to multiply a decimal and a whole number?
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1 ? Name 3.3 Essential Question Multiplication with ecimals and Whole Numbers How can you use properties and place value to multiply a decimal and a whole number? Number and Operations 5.3.E lso, 5.3. MTHEMTIL PROESSES 5.1., 5.1. Unlock the Problem In 2010, the United States Mint released a newly designed Lincoln penny. Lincoln penny has a mass of grams. If there are 5 Lincoln pennies on a tray, what is the total mass of the pennies? Multiply. 5 How much mass does one penny have? Use grouping language to describe what you are asked to find. Estimate the product. Round to the nearest whole number. 5 _ = _ One Way Use the istributive Property. 5 = 5 ( _ + 0.5) = ( _ 2) + (5 _ ) = _ + _ = _ nother Way Show partial products. STEP 1 Multiply the tenths by 5. 5 _ 5 5 tenths = 25 tenths, or 2 ones and 5 tenths STEP 2 Multiply the ones by 5. _ ones = 10 ones, or 1 ten Math Talk Mathematical Processes Explain how the solution would be different if you multiplied $5. So, 5 Lincoln pennies have a mass of grams. STEP 3 dd the partial products. _ Module 3 117
2 Example Use place value patterns. Having a thickness of 1.35 millimeters, the dime is the thinnest coin produced by the United States Mint. If you stacked 8 dimes, what would be the total thickness of the stack? Multiply STEP 1 Write the decimal factor as a whole number. Think: = 135 STEP 2 Multiply as with whole numbers. STEP 3 Place the decimal point. Think: 0.01 of 135 is Find 0.01 of 1,080 and record the product _ 8? , _ stack of 15 dimes would have a thickness of millimeters. Share and Show Place the decimal point in the product Think: The place value of the decimal factor is hundredths _ Find the product _ Math Talk Mathematical Processes Explain how you can determine if your answer to Exercise 6 is reasonable.
3 Name Problem Solving Practice: opy and Solve Find the product Write Math Julie multiplies 6.27 by 7 and claims the product is Explain without multiplying how you know Julie s answer is not correct. Find the correct answer. Problem Solving Use the table for Sari has a bag containing 6 half dollars. What is the mass of the half dollars in Sari s bag? oin Mass (in grams) 17. Felicia is running a game booth at a carnival. One of the games requires participants to guess the mass, in grams, of a bag of 9 dimes. What is the actual mass of the dimes in the bag? Nickel 5.00 ime 2.27 Quarter 5.67 Half ollar ollar Multi-Step hance has $2 in quarters. lake has $5 in dollar coins. Whose coins have the greatest mass? Explain. Module 3 Lesson 3 119
4 aily ssessment Task Mathematical Processes Fill in the bubble completely to show your answer. 19. pply hummingbird weighs 5.8 grams. If the hummingbird eats 8 times its body weight each day, how much does the bird eat in four days? 23.2 grams 46.4 grams grams 464 grams 20. Use Symbols Which expression shows how to use the istributive Property to find ? (5.1) ( ) 9 ( ) 21. Multi-Step The cost to park a car in a parking lot is $1.10 per hour. Maleek parked his car for 4 hours on Monday, 4 hours on Tuesday, and 4 hours on Wednesday. How much did he spend on parking in all? $4.10 $4.40 $13.10 $13.20 TEXS Test Prep Every day on his way to and from school, Milo walks a total of 3.65 miles. If he walks to school 5 days, how many miles will Milo have walked? 1,825 miles miles 18 miles miles
5 Homework and Practice Name Number and Operations 5.3.E lso, 5.3. MTHEMTIL PROESSES 5.1., Multiplication with ecimals and Whole Numbers Find the product Logan multiplies 5.31 by 3 and says the product is Explain why Logan s answer is not correct. Problem Solving 14. Minnie rides her bike 2.76 miles each day. How many miles will she bike in 7 days? 15. ominick buys a package of soup mix that is 1.38 ounces. How many ounces are 6 packages of soup mix? Module 3 Lesson 3 121
6 Lesson heck TEXS Test Prep Fill in the bubble completely to show your answer. 16. Sandra uses 6.39 ounces of beans in a recipe. If she triples the recipe, how many ounces of beans will Sandra need? ounces ounces ounces ounces 17. Kip uses the istributive Property to rewrite an expression. (4 3) + (4 0.7) What is the value of the expression? Manny charges $1.25 for a cup of lemonade at the lemonade stand. He sells 9 cups. How much money does Manny collect? $10.75 $11.00 $11.25 $ Fabric costs $11.99 a yard. Leo buys 4 yards of red fabric and 3 yards of blue fabric. How much does Leo spend on fabric? $47.96 $35.97 $77.33 $ Multi-Step On the first day of summer, a rainstorm brought 2.29 inches of rain to the area. uring the rest of the summer, there was 3 times as much rain as on the first day. What was the total number of inches of rainfall for the summer? 21. Multi-Step Nicky bought 14.2 pounds of coffee for the coffee shop. The shop usually uses 5 times that amount of coffee during one week. How much more coffee will Nicky need to purchase to get the right amount of coffee for the week? 6.29 inches 71 pounds 5.67 inches 56.8 pounds 6.87 inches 85.2 pounds inches 50 pounds
One Way. Another Way Show partial products. Lesson
Name Multiplication with Decimals and Whole Numbers Essential Question How can you use properties and place value to multiply a decimal and a whole number? Lesson 4.3 Number and Operations in Base Ten
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