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Equations: Repeating Decimals as Rational #s Honors Math – Grade 7

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To rename a repeating decimal that has digits that do not begin repeating immediately after the decimal point. 2.Multiply both sides by a power of 10 to move the decimal point immediately to the left of the repeating digits. 4.Subtract the simplified equation from Step 2 from the simplified equation in Step 3. 5. Solve for x.

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To rename a repeating decimal that has digits that do not begin repeating immediately after the decimal point. 2.Multiply both sides by a power of 10 to move the decimal point immediately to the left of the repeating digits. 4.Subtract the simplified equation from Step 2 from the simplified equation in Step 3. 5. Solve for x.

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To rename a repeating decimal that has digits that do not begin repeating immediately after the decimal point. 2.Multiply both sides by a power of 10 to move the decimal point immediately to the left of the repeating digits. 4.Subtract the simplified equation from Step 2 from the simplified equation in Step 3. 5. Solve for x.

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To rename a repeating decimal that has digits that do not begin repeating immediately after the decimal point. 2.Multiply both sides by a power of 10 to move the decimal point immediately to the left of the repeating digits. 4.Subtract the simplified equation from Step 2 from the simplified equation in Step 3. 5. Solve for x.

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To rename a repeating decimal that has digits that do not begin repeating immediately after the decimal point. 2.Multiply both sides by a power of 10 to move the decimal point immediately to the left of the repeating digits. 4.Subtract the simplified equation from Step 2 from the simplified equation in Step 3. 5. Solve for x.

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EXAMPLE 2 Solving an Equation Involving Decimals 1.4x –1.8 + 2.35x = 0.21 Original equation. (1.4x –1.8 + 2.35x)100 = (0.21)100 Multiply each side by 100.

EXAMPLE 2 Solving an Equation Involving Decimals 1.4x –1.8 + 2.35x = 0.21 Original equation. (1.4x –1.8 + 2.35x)100 = (0.21)100 Multiply each side by 100.

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