8.8 Multiplication as scaling

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What does multiplication as scaling mean?

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Multiplication as scaling refers to the concept of increasing or decreasing a quantity by a certain factor. For example, if you multiply a number by 2, you are scaling it up, making it twice as large.

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What is the product of a number and 1?

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The product of any number and 1 is the number itself. This is known as the identity property of multiplication.

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What is the product of a number and 0?

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The product of any number and 0 is 0. This is known as the zero property of multiplication.

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If you multiply a number by a fraction less than 1, what happens to the number?

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The number becomes smaller. Multiplying by a fraction less than 1 scales the number down.

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If you multiply a number by a fraction greater than 1, what happens to the number?

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The number becomes larger. Multiplying by a fraction greater than 1 scales the number up.

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What does it mean if a product is greater than 1?

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It means that the result of the multiplication is larger than the original numbers being multiplied.

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What does it mean if a product is less than 1?

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It means that the result of the multiplication is smaller than the original numbers being multiplied.

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How do you determine if a product is equal to, less than, or greater than a specific number?

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You can compare the product to the specific number by evaluating the multiplication and then using inequality symbols.