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When a whole number is multiplied by 10 to the power of 4 how does the placement of the decimal point change

User Hans Malherbe
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1 Answer

17 votes
17 votes

9514 1404 393

Answer:

The decimal point moves 4 places to the right

Explanation:

Take a simple case using the whole number 3.

3. — whole number we're starting with

3.×10^4 = 3.×10,000 = 30,000. — multiplied by 10^4

The decimal point moves 4 places to the right.

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Additional comment

Multiplying be a positive power of 10 moves the decimal point a number of places equal to that power. Effectively, the number of zeros added on the right is equal to the power of 10. Above, you will notice multiplying by 10^4 added 4 zeros to the right of the number.

User Ronak Chaniyara
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