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QuestionConvert the number 9.04×10−59.04 \times 10^{-5} to decimal notation. What is it?

Studdy Solution

STEP 1

Assumptions1. The given number is in scientific notation. . We need to convert this number into decimal notation.

STEP 2

In scientific notation, the number a×10na \times10^n represents the number aa shifted nn places to the right (if nn is positive) or to the left (if nn is negative) of the decimal point.

STEP 3

Given the number 9.04×10−59.04 \times10^{-5}, we see that the exponent −5-5 is negative, so we will shift the decimal point5 places to the left.

STEP 4

Start with the number 9.049.04 and move the decimal point places to the left. For each place that doesn't have a digit, fill in a zero.
9.04→0.904→0.0904→0.00904→0.000904→0.00009049.04 \rightarrow0.904 \rightarrow0.0904 \rightarrow0.00904 \rightarrow0.000904 \rightarrow0.0000904

STEP 5

So, 9.04×10−59.04 \times10^{-5} in decimal notation is 0.00009040.0000904.
The number 9.04×10−59.04 \times10^{-5} expressed in decimal notation is 0.00009040.0000904.

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