Solve 8.4*10^-3+0.52*10^-2=1.36*10^-3

$$8.4 \times 10 ^ { - 3 } + 0.52 \times 10 ^ { - 2 } = 1.36 \times 10 ^ { - 3 }$$

Verify

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$8.4\times \frac{1}{1000}+0.52\times 10^{-2}=1.36\times 10^{-3}$$

Multiply 8.4 and \frac{1}{1000} to get \frac{21}{2500}.

$$\frac{21}{2500}+0.52\times 10^{-2}=1.36\times 10^{-3}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{21}{2500}+0.52\times \frac{1}{100}=1.36\times 10^{-3}$$

Multiply 0.52 and \frac{1}{100} to get \frac{13}{2500}.

$$\frac{21}{2500}+\frac{13}{2500}=1.36\times 10^{-3}$$

Add \frac{21}{2500} and \frac{13}{2500} to get \frac{17}{1250}.

$$\frac{17}{1250}=1.36\times 10^{-3}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{17}{1250}=1.36\times \frac{1}{1000}$$

Multiply 1.36 and \frac{1}{1000} to get \frac{17}{12500}.

$$\frac{17}{1250}=\frac{17}{12500}$$

Least common multiple of 1250 and 12500 is 12500. Convert \frac{17}{1250} and \frac{17}{12500} to fractions with denominator 12500.

$$\frac{170}{12500}=\frac{17}{12500}$$

Compare \frac{170}{12500} and \frac{17}{12500}.

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