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Dividing Decimals Section 5.4

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The only difference is the placement of a decimal point in the quotient. If the divisor is a whole number, divide as for whole numbers; then place the decimal point in the quotient directly above the decimal point in the dividend. 8 - 5 0 4 - 5 0 4 2 52 52 -2 52 0 divisor quotient dividend 04 Division of decimal numbers is similar to division of whole numbers. 63 52.92 2

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8 63529.2 - 504 252 -252 0 4 If the divisor is not a whole number, we need to move the decimal point to the right until the divisor is a whole number before we divide. divisordividend 63 5292.. 635292.. 3 Martin-Gay, Prealgebra, 5ed

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Dividing by a Decimal Step 1. Move the decimal point in the divisor to the right until the divisor is a whole number. Step 2. Move the decimal point in the dividend to the right the same number of places as the decimal point was moved in Step 1. Step 3. Divide. Place the decimal point in the quotient directly over the moved decimal point in the dividend. 4 Martin-Gay, Prealgebra, 5ed

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Divide 258.3 ÷ 2.8 Estimating When Dividing Decimals ExactEstimate rounds to This is a reasonable answer. Martin-Gay, Prealgebra, 5ed

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There are patterns that occur when dividing by powers of 10, such as 10, 100, 1000, and so on. The decimal point moved 1 place to the left. 1 zero 3 zeros The decimal point moved 3 places to the left. The pattern suggests the following rule..4562 10 456.2 1000 04562,. 456.2 6 Martin-Gay, Prealgebra, 5ed

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left zeros Move the decimal point of the dividend to the left the same number of places as there are zeros in the power of 10. Dividing Decimals by Powers of 10 such as 10, 100, or 1000,... Notice that this is the same pattern as multiplying by powers of 10 such as 0.1, 0.01, or 0.001. Because dividing by a power of 10 such as 100 is the same as multiplying by its reciprocal, or 0.01. To divide by a number is the same as multiplying by its reciprocal. 7

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