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Chapter 4: Problem 64

Round to the nearest hundredth. $$ 6.524 $$

Short Answer

Expert verified
6.52

Step by step solution

01

Identify the hundredth place

In the number 6.524, the hundredth place is the second digit to the right of the decimal point. Here, it is '2'.
02

Identify the thousandth place

The thousandth place is the third digit to the right of the decimal point. In this number, it is '4'.
03

Determine rounding direction

If the thousandth place digit is 5 or greater, we round the hundredth place digit up by 1. Otherwise, we leave the hundredth place digit as is. In this case, '4' is less than 5, so we do not need to round '2' up.
04

Write the rounded number

Since we do not round up, the number 6.524 rounded to the nearest hundredth is 6.52.

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Key Concepts

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

nearest hundredth
Rounding to the nearest hundredth means focusing on the second digit to the right of the decimal point. For example, in the number 6.524, the number in the hundredth place is '2'. When you round to the nearest hundredth, you determine whether this digit needs to stay the same or increase by looking at the digit right after it. In the case of 6.524, you look at the digit '4' in the thousandth place. By following the rounding rules, you can decide what the final rounded number should be.
place value
Place value is a key concept when it comes to rounding numbers. Each digit in a decimal number has a specific place and value based on its position relative to the decimal point.
  • The first digit to the right of the decimal is the tenths place.
  • The second digit is the hundredths place.
  • The third digit is the thousandths place.
In the number 6.524, '5' is in the tenths place, '2' is in the hundredths place, and '4' is in the thousandths place. Understanding place values helps you know which digit to focus on during the rounding process.
rounding rules
Rounding rules guide you on whether to round a digit up or leave it as is. It all depends on the digit immediately next to the one you're rounding.
Here are the steps of the rounding rule:
  • If the digit to the right of the place you are rounding is 5 or greater, round up.
  • If the digit is less than 5, keep the rounding digit the same.
Let's apply this to the number 6.524 again. When rounding to the nearest hundredth, the digit in focus is '2'. Since the next digit '4' is less than 5, '2' stays the same. Thus, 6.524 rounded to the nearest hundredth is 6.52.

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