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Chapter 5: Problem 74

In the following exercises, round each number to the nearest tenth. $$4.63$$

Short Answer

Expert verified
4.6

Step by step solution

01

- Identify the tenths and hundredths place

The number given is 4.63. The digit in the tenths place is 6, and the digit in the hundredths place is 3.
02

- Determine rounding action

To round to the nearest tenth, observe the digit in the hundredths place. If this digit is 5 or greater, round the tenths place up. If it's less than 5, keep the tenths place as is.
03

- Apply rounding

The digit in the hundredths place is 3, which is less than 5. Therefore, the tenths place remains 6.
04

- State the rounded number

By rounding 4.63 to the nearest tenth, the number becomes 4.6.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

tenths place
When you look at a decimal number, the tenths place is the first digit to the right of the decimal point. For example, in the number 4.63, the digit in the tenths place is 6.

This place value represents how many tenths are in the number. For example, in 4.6, the 6 tells you there are six-tenths.

Identifying the tenths place is crucial when rounding decimals because it will help you determine whether other digits will affect it.

Always make sure you correctly identify the tenths place before rounding.
hundredths place
The hundredths place is the second digit to the right of the decimal point. In our example number, 4.63, the digit in the hundredths place is 3.

This place value shows how many hundredths are in the number. So, in 4.63, there are three hundredths.

The hundredths place is vital when rounding because it determines whether the digit in the tenths place will go up or stay the same.

Always make sure you understand which digit is in the hundredths place so you can round accurately.
rounding rules
Rounding numbers means making them simpler but keeping their value close to what it was. When rounding to the nearest tenth, you look at the digit in the hundredths place. Here are the basic rules:

  • If the digit in the hundredths place is 5 or greater, increase the tenths place by 1.

  • If the digit in the hundredths place is less than 5, keep the tenths place the same.


Let's apply these rules to the number 4.63.

The hundredths place is 3 (less than 5), so we keep the tenths place as it is.

Therefore, 4.63 rounded to the nearest tenth is 4.6. Rely on these rules to round numbers accurately every time.

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Most popular questions from this chapter

Salary Increase Danny got a raise and now makes\(\$ 58,965.95\) a year. Round this number to the nearest: (a) dollar (b) thousand dollars (c) ten thousand dollars.

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