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Chapter 2: Problem 11

Explain, in your own words, how to write \(-7.26 \times 10^{4}\) without an exponent.

Short Answer

Expert verified
To write \(-7.26 \times 10^{4}\) without an exponent, we multiply \(-7.26\) by \(10^4\) which means moving the decimal point 4 places to the right. Add zeros as necessary and the final result is -72600.

Step by step solution

01

Identify the given number

The given number in scientific notation is \(-7.26 \times 10^{4}\).
02

Multiply by the exponent

To write the number without an exponent, we multiply \(-7.26\) by \(10^4\). This means moving the decimal point 4 places to the right.
03

Move the decimal point

Move the decimal point 4 places to the right to get the number in standard form. To do this, we can add zeros as necessary. 1st place: -72.6 2nd place: -726 3rd place: -7260 4th place: -72600
04

Write the final answer

The final answer, after moving the decimal point 4 places to the right, is -72600. So, \(-7.26 \times 10^{4}\) written without an exponent is -72600.

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