(1.247 × 10–3) ÷ (2.9 × 10–2)

asked by guest
on Nov 19, 2024 at 6:49 am



You asked:

Evaluate the expression: 1.247⋅10−32.9⋅10−2\frac{1.247 \cdot 10 - 3}{2.9 \cdot 10 - 2}

MathBot Answer:

1.247⋅10−32.9⋅10−2=9472700=0.35074‾\frac{1.247 \cdot 10 - 3}{2.9 \cdot 10 - 2} = \frac{947}{2700} = 0.35\overline{074}

1.247⋅10−32.9⋅10−2=12471000⋅10−32.9⋅10−2=1247100−32.9⋅10−2=9471002.9⋅10−2=9471002910⋅10−2=94710029−2=94710027=9472700\begin{aligned}\frac{1.247 \cdot 10 - 3}{2.9 \cdot 10 - 2}&=\frac{\frac{1247}{1000} \cdot 10 - 3}{2.9 \cdot 10 - 2}\\&=\frac{\frac{1247}{100} - 3}{2.9 \cdot 10 - 2}\\&=\frac{\frac{947}{100}}{2.9 \cdot 10 - 2}\\&=\frac{\frac{947}{100}}{\frac{29}{10} \cdot 10 - 2}\\&=\frac{\frac{947}{100}}{29 - 2}\\&=\frac{\frac{947}{100}}{27}\\&=\frac{947}{2700}\end{aligned}

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