# 7.1.7. Properties of the Multiplication Operation in the Set of Rational Numbers

Find the multiplicative inverse of .

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Find the multiplicative inverse of .

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The rational number has a multiplicative inverse when .

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Use the distribution property to calculate and express in its simplest form.

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Complete the table below.

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Using the properties of multiplication, find the value of .

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Using the properties of multiplication, find the value of .

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Using the properties of multiplication, find the value of .

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Using the properties of multiplication, find the value of .

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Find the value of in the equation .

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.

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Find the value of in the equation .

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.

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Using the properties of multiplication, calculate .

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Identify the property of multiplication used in .

• Aclosure property
• Bmultiplicative-identity property
• Cmultiplicative-inverse property
• Dcommutative property
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Find the multiplicative inverse of .

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If is the multiplicative inverse of the number , find the value of .

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What is the multiplicative inverse of ?

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What is the multiplicative inverse of ?

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