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Chapter 4: Problem 90

Round 6172 to the nearest: Hundred.

Short Answer

Expert verified
6200

Step by step solution

01

Identify the place value

Find the digit in the hundreds place. In 6172, the hundreds place is occupied by the digit 1.
02

Examine the next digit

Look at the digit immediately to the right of the hundreds place. In 6172, the digit to the right of 1 is 7.
03

Apply rounding rules

If the digit to the right is 5 or greater, round up. Otherwise, round down. Since 7 is greater than 5, round up the hundreds place digit from 1 to 2.
04

Construct the rounded number

Replace the digits to the right of the hundreds place with zeroes. Therefore, 6172 rounded to the nearest hundred is 6200.

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Key Concepts

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

Place Value
Understanding place value is crucial for rounding numbers. Place value tells us the value of each digit in a number based on its position. Let's break it down:

In the number 6172, each digit has its own place value:

  • 6 is in the thousands place
  • 1 is in the hundreds place
  • 7 is in the tens place
  • 2 is in the ones place

This means that the digit 1 in 6172 represents 100 because it鈥檚 in the hundreds place. Recognizing place values helps in identifying the correct digit to focus on when rounding.
Rounding Rules
Rounding is a process that simplifies numbers, making them easier to work with. Here are the basic rounding rules:

1. Identify the place value you are rounding to. (In our example, it鈥檚 the hundreds place.)
2. Look at the digit immediately to the right of the place value you鈥檙e focusing on.
3. If that digit is 5 or greater, round up. If it鈥檚 less than 5, round down.

In 6172, to round to the nearest hundred:
  • Find the digit in the hundreds place: 1
  • Look at the next digit to the right: 7
  • Since 7 is greater than 5, we round up. So, we change 1 to 2 and change the digits to the right to zeroes.

After applying the rounding rules, 6172 becomes 6200.
Nearest Hundred
Rounding to the nearest hundred helps in estimating and simplifying large numbers. It means we focus on the hundreds place and apply the rounding rules mentioned.

Here鈥檚 a step-by-step illustration using 6172:

  • Identify the hundreds place: The number 1 in 6172.
  • Look at the next digit to the right: It's 7.
  • Since 7 is greater than 5, we round up.
  • Change the hundreds place from 1 to 2.
  • Replace all digits to the right of the hundreds place with zeroes.

So, 6172 rounded to the nearest hundred is therefore 6200.

This method helps to quickly approximate numbers and can be very useful for quick calculations in everyday situations.

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Most popular questions from this chapter

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Estimate. Indicate which of the choices is an appropriate estimate. \(0.0713 \div 1.94\) a) 3.5 b) 0.35 c) 0.035 d) 35
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