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Math

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PROBLEM

Convert 2.5×1042.5 \times 10^{4} from scientific notation to standard form.

STEP 1

Assumptions1. The number is given in scientific notation as .5×104.5 \times10^{4}.
. We need to convert this number to standard form.

STEP 2

To convert a number from scientific notation to standard form, we move the decimal point to the right if the exponent of10 is positive. The number of places we move the decimal point is equal to the value of the exponent.
In this case, the exponent of10 is4, so we move the decimal point4 places to the right.

STEP 3

Start by writing down the number without the exponent, which is2.5.

STEP 4

Move the decimal point4 places to the right. Since there are not enough digits, we add zeros to fill in the spaces.
2.25.0250.02500.025000.02. \rightarrow25.0 \rightarrow250.0 \rightarrow2500.0 \rightarrow25000.0

SOLUTION

Remove any unnecessary zeros after the decimal point to get the number in standard form.
25000.02500025000.0 \rightarrow25000So, the number 2.5×1042.5 \times10^{4} in standard form is25000.

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