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Chapter 0: Problem 72

Write each number in decimal notation without the use of exponents. $$6.8 \times 10^{-1}$$

Short Answer

Expert verified
The decimal notation of \(6.8 \times 10^{-1}\) without exponents would be 0.68.

Step by step solution

01

Understand the function of the negative exponent

An exponent of -1 indicates that the base, in this case 10, is in the denominator of a fraction. Specifically, \(10^{-1}\) means \(\frac{1}{10}\). Therefore, multiplying a number by \(10^{-1}\) essentially divides that number by 10, which has the effect of moving the decimal point one place to the left.
02

Applying the exponent to the base number

Knowing that \(10^{-1}\)means \(\frac{1}{10}\), we can apply this to the number 6.8. So, \(6.8 \times 10^{-1}\) is the same as dividing 6.8 by 10, which gives 0.68.
03

Write the answer.

So, \(6.8 \times 10^{-1}\) written in decimal notation, without exponents, is 0.68.

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Most popular questions from this chapter

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