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Chapter 0: Problem 68

Write each number in decimal notation without the use of exponents. $$7 \times 10^{-5}$$

Short Answer

Expert verified
The decimal notation of the number \(7 \times 10^{-5}\) without the use of exponents is 0.00007.

Step by step solution

01

Identifying the original number and the exponent

Firstly, recognize the number in scientific notation as \(7 \times 10^{-5}\). This implies that the number 7 is being multiplied by 10 raised to the power of -5.
02

Understanding the role of negative exponent

The negative exponent -5 implies that the decimal point in number 7 will move 5 steps to the left. In other words, the number will be divided by 10 five times, effectively shrinking down the initial number.
03

Move the decimal point

Then, start with the number 7.0 (the decimal point is assumed to be at the end of the whole number). Moving the decimal point 5 places to the left, fill in zeros as needed to each new place value until reaching the fifth place.
04

Write the final number in decimal notation

Finally, after moving the decimal point 5 places, we get the decimal number 0.00007 without the use of exponents. This is the number in decimal notation.

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