Question

Chris has an MP3 player that can store about 108 bytes of data. Explain how to determine the number of zeros in the decimal for 10%. Then write the decimal and state the number of bytes in words, without using exponents.

A. The decimal is 0.1, and there is one zero in 108.
B. The decimal is 0.01, and there are two zeros in 108.
C. The decimal is 0.001, and there are three zeros in 108.
D. The decimal is 0.0001, and there are four zeros in 108.

Answer 1

The power (exponent) of 10 is equal to the number of places the decimal is shifted to give the digit number. The exponential method is particularly useful notation for very large and very small numbers.

Step-by-step explanation:

When dividing by powers of 10, simply take the opposite approach and move the decimal to the left by the number of zeros in the power of ten.

The power (exponent) of 10 is equal to the number of places the decimal is shifted to give the digit number. The exponential method is particularly useful notation for very large and very small numbers. For example, 1,230,000,000 = 1.23 x 109, and 0.00000000036 = 3.6 x 10-10.