Multiplication of Decimal Fractions by Decimal Units (0.1, 0.01, 0.001)

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What is a decimal fraction?
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A decimal fraction is a fraction where the denominator is a power of ten, often written with a decimal point.
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What happens to a number when you multiply it by 0.1?
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When you multiply a number by 0.1, it is equivalent to dividing the number by 10, effectively shifting the decimal point one place to the left.
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How do you multiply 5.67 by 0.1?
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To multiply 5.67 by 0.1, shift the decimal point one place to the left, giving you 0.567.
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What is the result of multiplying 45.2 by 0.01?
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The result is 0.452 because multiplying by 0.01 shifts the decimal point two places to the left.
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How does multiplying by 0.001 affect the position of the decimal?
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Multiplying by 0.001 shifts the decimal point three places to the left.
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Multiply 8.3 by 0.01 and find the result.
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The result is 0.083 because the decimal moves two places to the left.
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What is the shortcut for multiplying a decimal by 0.1?
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The shortcut is to simply move the decimal point one place to the left.
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If you multiply 123.456 by 0.001, what is the new number?
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The new number is 0.123456, achieved by moving the decimal point three places to the left.
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Why does multiplying by 0.01 reduce the original number?
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Multiplying by 0.01 reduces the original number because it is equivalent to dividing the number by 100.
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Multiply 0.9 by 0.1. What do you get?
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You get 0.09 after moving the decimal one place to the left.
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What is the effect of multiplying 7.89 by 0.01?
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The effect is that it moves the decimal point two places to the left, resulting in 0.0789.
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How would you multiply 152.6 by 0.1 using the decimal point method?
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You would move the decimal point one place to the left to get 15.26.
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What happens to the number 0.5 when you multiply it by 0.001?
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The number becomes 0.0005 after moving the decimal point three places to the left.
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Determine the result of 328.1 multiplied by 0.01.
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The result is 3.281, achieved by moving the decimal two places to the left.
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Explain why multiplying by decimal units like 0.1 or 0.01 reduces a number.
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Multiplying by decimal units shifts the decimal left, essentially dividing by a power of ten, which reduces the number.
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