Video: Converting Numbers to Exponents Then Evaluating Them

The sun is about 10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 miles away from earth. Write the distance in exponential form and then evaluate it, giving your answer in millions of miles.

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Video Transcript

The Sun is about 10 times 10 times 10 times 10 times 10 times 10 times 10 times 10 miles away from Earth. Write the distance in exponential form and then evaluate it, giving your answer in millions of miles.

So to take this and put it in exponential form, we have to know how many 10s there are: one, two, three, four, five, six, seven, eight. So we can write this as 10 to the eighth power because that’s what the exponent represents — how many times it’s being multiplied to itself.

Now, it says to evaluate it. So essentially, we can either multiply 10 to itself eight times or plug in 10 to the eighth power on our calculator. And here we have 100000000. And a little trick is that if we multiplied eight 10s together, then we should have eight zeros. So maybe, we wouldn’t need a calculator.

So here, we have 100000000 miles. But it says to write our answer in millions of miles. Here, we can see our number separated by the millions, the thousands, and the hundreds. So we have 100000000 of miles. So to answer our question, we were supposed to write it in exponential form and then evaluate it and giving our answers in million of miles.

So in exponential form, it’s 10 to the eighth power. And then after evaluating it, we get 100000000 miles.

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