Solve 7.6*10^-4=0.4135*10^3=

$$7.6 \times 10 ^ { - 4 } = 0.4135 \times 10 ^ { 3 } =$$

Verify

Solution Steps

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$7.6\times \frac{1}{10000}=0.4135\times 10^{3}$$

Multiply 7.6 and \frac{1}{10000} to get \frac{19}{25000}.

$$\frac{19}{25000}=0.4135\times 10^{3}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{19}{25000}=0.4135\times 1000$$

Multiply 0.4135 and 1000 to get 413.5.

$$\frac{19}{25000}=413.5$$

Convert decimal number 413.5 to fraction \frac{4135}{10}. Reduce the fraction \frac{4135}{10} to lowest terms by extracting and canceling out 5.

$$\frac{19}{25000}=\frac{827}{2}$$

Least common multiple of 25000 and 2 is 25000. Convert \frac{19}{25000} and \frac{827}{2} to fractions with denominator 25000.

$$\frac{19}{25000}=\frac{10337500}{25000}$$

Compare \frac{19}{25000} and \frac{10337500}{25000}.

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