Chapter 1.4, Problem 1P

Round 2.1349 to the nearest hundredth. Explain in your own words the reasoning behind why we round the number the way we do. Use a number line to support your explanation.

To determine

To calculate:The round off of the number $2.1349$ to the nearest hundreth place.

Answer to Problem 1P

The value to the nearest hundredths place for $2.1349$ is $2.13$ .

Explanation of Solution

Given information:

The decimal numberis $2.1349$ .

Calculation:

The given decimal number is $2.1349$ .

The decimal number $2.1349$ stands for combined amount of 2 ones,1 tenths,3 hundredths,4 thousandthsand 9 ten thousandths.

In rounding of the decimal numbers, first look at the number that is rounded and the number that follows it.

To round a given number to its hundredths place check the number in hundredths place and the number following it.

In the number $2.1349$ the hundredth place is denoted by the digit 3.And the number follows it is 4 which is less than 5.

 

Hence, the digit in the hundredth place remains same because the number following it is less than 5.

Conclusion:

Thus, the value to the nearest hundredths place for $2.1349$ is $2.13$ .