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1 vote
What is 0.00000394 estimated as the product of a single digit and a power of 10?

I think it's 4 x 10^10

User Oluwaseun
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7.3k points

2 Answers

3 votes
4 x 10^-6 when you have a .000 number its always going to be negative. hope that helps.
User Kale Kundert
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3 votes

Well, I'll go along with your single digit, but I must respectfully
take issue with your choice of exponent.

10^10 is the number 10,000,000,000 .

Multiply your '4' by that number, and you get 40,000,000,000 .
That's not a very good estimate for 0.00000394.
Let's back up a step.

You're given 0.00000394 .
To turn this into 3.94, you move the decimal point 6 places that way ==> .
That's the same as 10⁶.
But wait ! When you do that, you've changed the value of the number
by 10⁶, and that's a big no-no. So you must immediately do something
that restores it to its original value . . . Multiply it by 10⁻⁶ .

So far, we've decided that 0.00000394 = 3.94 x 10⁻⁶ .

Since they want a single digit, we'll round the 3.94
to the nearest whole number.

4 x 10⁻⁶ .

User Radu Linu
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7.4k points