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Chapter 0: Problem 69

Write each number in decimal notation without the use of exponents. $$-7.16 \times 10^{6}$$

Short Answer

Expert verified
The decimal notation of \(-7.16 \times 10^{6}\) without the use of exponents is -7160000.

Step by step solution

01

Understanding Scientific Notation

In scientific notation, the base number (in this case 7.16) is multiplied by \(10^{n}\), where \(n\) is a positive or negative integer. If \(n\) is positive, it indicates the number of places to move the decimal to the right. If \(n\) is negative, it tells how many places to move the decimal to the left.
02

Conversion to Decimal Notation

The given expression is \(-7.16 \times 10^{6}\). Here, the base number is -7.16 and the power of 10 is 6. This means the decimal in -7.16 needs to be shifted 6 places to the right.
03

Final Calculation

By moving the decimal of -7.16 six places to the right, we get -7160000. This process of moving the decimal to right is due to the positive power of ten (6 in this case).

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