Question

Write 0.167 in the standard form

Answer 1

Answer:

1.67*10^-1

Step-by-step explanation:

First we need to understand what we have to do to put a number in standard form. For a number to be in standard form, there can only be one number to the left of the decimal and there can be no value in a position greater then the "ones" position. To get our decimal to have a value in front of the decimal, we will need to move the decimal to the right. Since we are moving the decimal to the right 1 time, we will multiple 1.67, our new number after moving the decimal, by 10^-1. If we had to move our decimal to the right more, we would continue to make the power of 10 smaller. For example, if we had to move the decimal to the right 5 times, we would multiply the number by 10^-5. The opposite is true when moving the decimal to the left. When moving the decimal to the left, the power of 10 becomes greater. For example, if we had to move the decimal to the left 5 times, we would multiply our new number by 10^5.

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