When you write 0.0000001 as a power of 10: the base is 1 and the exponent is -7. the base is 1 and the exponent is -6. the base is 10 and the exponent is -7. the base is 10 and the exponent is -6
Please help
the base is 10 and the exponent is -7.
@satellite73
what
Move the decimal until you get a number from 1 to 10. (It cannot be equal to ten, but it can be greater than 9 like 9.987 or something like that). Next, you count the number of decimal places that you moved to get to that number, and that will be the value of your exponent. If you moved the decimal to the right, the exponent should be negative, and if you moved it to the left, it should be positive. For this example, you have to move the decimal 7 spaces to the right in order to get 1. Therefore, your exponent is -7. When moving decimal places in this manner, you are multiplying or dividing by 10, and that is why you use 10 for the base. If you are familiar with scientific notation, this is the same process that we use. If your number is not 1, for example 0.000009987, you would multiply the base and exponent by that value. So, to get a number from 1to 10, we have to move the decimal place 6 places to the right. We end up with 9.987, and we have to multiply it by 10^-6 so that it keeps its value.
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