Question

10. Write 0.0000507 in standard form.
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Answer 1

5.o7×8-5............

......

Answer 2

Answer: $5.07\times10^{-5}$ is the standard form of the given decimal number.

Given: We are given the decimal number 0.0000507.

To Find: We have to write the number in the standard form.

Step-by-Step Explanation:

To write it in the standard form, we will have to count the number of digits after the decimal point in the given number. Here are 7 digits after the decimal point. So, we can write this number in the fractional form as:

$\frac{507}{10000000}$

Note that there are 7 zeros in the number in the denominator. The number of zeros after 1 in the denominator is equal to the number of the digits after decimal point.

Now, we can write that fractional form in the standard form by removing the denominator and write it in the power of 10.

= $507\times10^{-7}$ ($10000000=10^{-7}$ the number of zeros is equal to the power of 10. We have written negative sign because the number was in the denominator.)

The standard form will be:

= $5.07\times10^{-5}$ (We only take leftmost non-zero number to the left of decimal. Other number come after the decimal and the zeros come in the powers of 10.)

So, $5.07\times10^{-5}$ is the standard form of the number.

To know more about numbers, refer to the links below:

https://brainly.in/question/18917839

https://brainly.in/question/54171941

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