   Chapter 2.6, Problem 50E

Chapter
Section
Textbook Problem

Find the larger number:0.0000613; 0.01200

To determine

To calculate: The larger number among the numbers 0.0000613;0.01200.

Explanation

Given Information:

The numbers are:

0.0000613;0.01200

Formula used:

Steps to compare the decimal numbers:

Step 1: Convert the decimal number into scientific notation.

Step 2: Compare the exponent of the base 10 (power of 10), greater the exponent larger will be the number.

Step 3: In case, if the exponents are same, compare the part of the number between 1 to 10.

Calculation:

Consider the numbers:

0.0000613

First non-zero digit is at fifth place from the decimal. Therefore, the exponent of 10 will be 5.

0.0000613=6.13×105

And,

0.01200

First non-zero digit is at two place from the decimal. Therefore, the exponent of 10 will be 2.

0.01200=1

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