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Chapter 1: Problem 55

Explain how to round \(14.26841\) to the nearest hundredth and to the nearest thousandth.

Short Answer

Expert verified
The number \(14.26841\) rounded to the nearest hundredth decimal place is \(14.27\) and to the nearest thousandth decimal place is \(14.268\).

Step by step solution

01

Identify The Hundredth Place

In the provided number \(14.26841\), the digit in the hundredth place is 6 since it is the second digit after the decimal point. Note the following number (that is the third digit after the decimal point), which is 8.
02

Rounding To The Hundredth

If the following digit after the hundredth place is more than or equal to 5, then increase the digit in the hundredth place by 1. In our case, the digit following 6 (which is in hundredth place) is 8 and is larger than 5, therefore we increase the hundredth place digit by 1.\nThe rounded off number to the nearest hundredth place then becomes \(14.27\).
03

Identify The Thousandth Place

In the number \(14.26841\), the number in the thousandth place is 8 as it is the third digit after the decimal point. Also, note the next number (that is the fourth digit after the decimal point), which is 1.
04

Rounding To The Thousandth

If the following digit after the thousandth place is less than 5, then keep the digit in the thousandth place as it is. In our case, the digit following 8 (which is in thousandth place) is 1 which is lesser than 5, therefore we don鈥檛 change the thousandth digit.\nThe rounded off number to the nearest thousandth place then becomes \(14.268\).

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Most popular questions from this chapter

In this era of calculators and computers, why is there a need to develop estimation skills?

Obtain an estimate for each computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then use a calculator to perform the computation. How reasonable is your estimate when compared to the actual answer? \(0.67 \times 211\)

What does the \(\approx\) symbol mean?

Determine each estimate without using a calculator. Then use a calculator to perform the computation necessary to obtain an exact answer. How reasonable is your estimate when compared to the actual answer? A raise of \(\$ 310,000\) is evenly distributed among 294 professors. Estimate the amount each professor receives.

In Exercises 9-22, obtain an estimate for each computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then use a calculator to perform the computation. How reasonable is your estimate when compared to the actual answer? \(359+596\)
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