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If (100x=45.6), what is the value of (x)?

Answer and explanation

Correct answer: 0.456

In the equation \(100x=45.6\), divide both sides by 100 to isolate \(x\): \(x=\frac{45.6}{100}=0.456\). Dividing by 100 shifts the decimal point two places to the left. Option B, \(4.56\), would result from dividing by 10, not by 100. Exam tip: when dividing by 10, 100, or 1000, move the decimal point 1, 2, or 3 places to the left, respectively.

Related tags

Number SystemsDecimal RepresentationDecimal DivisionLinear EquationsMathematicsClass 9 Mcq

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