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Noteables Interactive Study Notebook (26491.0K) - McGraw-Hill ...

Noteables Interactive Study Notebook (26491.0K) - McGraw-Hill ...

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12–1The Distributive PropertyMAIN IDEA• Use the DistributiveProperty to computemultiplication problemsmentally and to rewritealgebraic expressions.KEY CONCEPTThe Distributive PropertyTo multiply a sum by anumber, multiply eachaddend by the numberoutside the parentheses.a(b + c) = ab + ac(b + c)a = ba + caBUILD YOUR VOCABULARY (page 292)The Distributive Property combinesandmultiplication to computemultiplication involving parentheses.EXAMPLE Use the Distributive PropertyFind 8 × 64 mentally using the Distributive Property.8 × 64 = 8 ( + ) Write 64 as + .= 8 + 8 Distributive Property= + Multiply 8 and 60 mentally.= Add.Copyright © Glencoe/<strong>McGraw</strong>-<strong>Hill</strong>, a division of The <strong>McGraw</strong>-<strong>Hill</strong> Companies, Inc.Check Your ProgressDistributive Property.Find 7 × 56 mentally using theEXAMPLE Apply the Distributive PropertySu is baking cookies and cupcakes. The cookies use2 cups of sugar per batch and the cupcakes use 3 cupsof sugar per batch. How many total cups of sugar areneeded if she is making 5 batches of each?METHOD 1 Multiply. Then add.5(2) + 5(3) = + or cupsamount of sugar needed for cupcakesamount of sugar needed for cookiesMETHOD 2 Add. Then multiply.5(2 + 3) = or cupsamount of sugar needed for one batchof cookies and one batch of cupcakesUsing either method, Su needscups of sugar.Math Connects, Course 1 293

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