   Chapter 2.6, Problem 57E

Chapter
Section
Textbook Problem

Find the smaller number:0.000314; 0.000371

To determine

To calculate: The smaller number among the numbers 0.000314;0.000271.

Explanation

Given Information:

The numbers are:

0.000314;0.000271

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), smaller the exponent smaller will be the number.

Step 3: In case, if the exponents are same, compare the part of the number between 1 to 10. Smaller the number smaller will be number being compared.

Calculation:

Consider the numbers:

0.000314

First non-zero digit is at fourth place from the decimal. Therefore, the exponent of 10 will be 4.

0.000314=3.14×104

And,

0.000271

First non-zero digit is at fourth place from the decimal. Therefore, the exponent of 10 will be 4.

0.000271=2

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