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Published byCitlali Masengale Modified over 3 years ago

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**Multiplication and Division Equations with Decimals**

Honors Math – Grade 6

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**Let’s take a closer look…**

Problem of the Day Carl and his friends made a paper-clip chain 8.05 km long. The world record, however, is 32.2 km! How many times greater than the length of Carl’s chain is the length of the world’s-record chain? What are the important facts? Write an equation to show the original depth. Define a variable first! Let’s take a closer look…

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**KEY CONCEPT Solving Multiplication Equations**

RECALL: To solve a multiplication equation, we use the inverse operation—division. This is known as The Division Property of Equality. The length of the world’s-record chain is 4 times greater than Carl’s chain.

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Solve each equation. Do not forget the rules for dividing signed decimals…quotient of like signs is positive, quotient of unlike signs is negative.

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Solve each equation. Do not forget the rules for dividing signed decimals…quotient of like signs is positive, quotient of unlike signs is negative.

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Solve each equation. Do not forget the rules for dividing signed decimals…quotient of like signs is positive, quotient of unlike signs is negative.

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**KEY CONCEPT Solving Division Equations**

RECALL: To solve a division equation, we use the inverse operation—multiplication. This is known as The Multiplication Property of Equality. Do not forget the rules for multiplying signed decimals…product of like signs is positive; product of unlike signs is negative!

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Solve each equation. Do not forget the rules for multiplying signed decimals…product of like signs is positive; product of unlike signs is negative!

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Solve each equation. Do not forget the rules for multiplying signed decimals…product of like signs is positive; product of unlike signs is negative!

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Do not forget the rules for multiplying signed decimals…product of like signs is positive; product of unlike signs is negative!

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**KEY CONCEPT Combining Like Algebraic Terms**

Sometimes you need to combine like terms before solving an equation. To combine like algebraic terms, add or subtract the coefficients.

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Solve each equation. First combine like terms then solve the equation using inverse operations.

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