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What is the product of 5.2 x 10^4 and 1.3 x 10^-2?

User Zzzzz
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5.1k points

2 Answers

4 votes

The answer to the question is:

676

User Louis CAD
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5.2k points
4 votes

Answer:

5.2 x 10^4 is equal to 52000, and 1.3 x 10^-2 is equal to 0.013

If you multiply the two together you get 676

Explanation:

I wasn't sure if they were two separate questions or the same.

But,

5.2 times 10^4? For that you want to move the decimal point to the right (because the exponent is positive) four times.

Hence,

1. 5.2000

2. 52.000

3. 520.00

4. 5200.0

5. 52000

And so your answer ends up being 52,000.

Then, for 1.3 times 10^-2, you want to move the decimal to the LEFT (because the exponent is negative) two times. So...

1. 1.3

2. .13

3. .013

Then if you want to multiply them together, use multiplication like

52,000

x .013

156000

520000

+ 0000000

676000 (then move the decimal left three because you are multiplying by .013 to get 676000, 67600.0, 6760.00, 676.000)

And your final answer is 676.

User Vvy
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4.8k points