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What's the difference between 6, point, 2, times, 10, to the power minus 46.2×10 −4 and 8, point, 7, times, 10, to the power minus 68.7×10 −6 ? Express your answer using either standard notation or scientific notation.

Question

What's the difference between 6, point, 2, times, 10, to the power minus 46.2×10 −4 and 8, point, 7, times, 10, to the power minus 68.7×10 −6 ? Express your answer using either standard notation or scientific notation.

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Solution

The two numbers you've mentioned are in scientific notation, which is a way of expressing very large or very small numbers.

The first number is 6.2 x 10^-4. This means you move the decimal point in 6.2 four places to the left, giving you 0.00062.

The second number is 8.7 x 10^-6. This means you move the decimal point in 8.7 six places to the left, giving you 0.0000087.

To find the difference between these two numbers, you subtract the smaller number from the larger number:

0.00062 - 0.0000087 = 0.0006113

So, the difference between 6.2 x 10^-4 and 8.7 x 10^-6 is 0.0006113.

This problem has been solved

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1.82 × 10–6 is the scientific notation for:

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