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Chapter 1: Problem 86

Round the number to the given place value. \(5326 ;\) thousands

Short Answer

Expert verified
The number 5326 rounded to the nearest thousand is 5000.

Step by step solution

01

Identify the Place Value

It is requested to round the number to the thousands place. In the number 5326, the number '5' is in the thousands place.
02

Check the next digit

The next digit after the '5' which is in the thousands place, is '3' which is in the hundreds place. Since '3' is less than 5, we do not increase the number '5' in the thousands place.
03

Round the Number

All numbers in places to the right of the thousands place turn into zeros, therefore, the number 5326 rounded to the nearest thousand results in '5000'.

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Key Concepts

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

Place Value
Recognizing place value is important when working with numbers. Each digit in a number has a specific value based on its position. This is known as its place value.
For example, in the number 5326, each digit holds a particular position starting from the right. Here is what each place represents:
  • '6' is in the units (or ones) place.
  • '2' is in the tens place.
  • '3' is in the hundreds place.
  • '5' is in the thousands place.
Knowing the place value helps you understand the magnitude of the number and how different digits contribute to its overall value. It is the foundation for skills like rounding, addition, and subtraction.
Thousands Place
When rounding numbers, identifying the thousands place is crucial if that is the point you wish to round to.
In a number like 5326, the thousands place is represented by the numeral '5.' This means the number is actually 5000 plus the remaining value given by the other digits (326).
The thousands place is the fourth position from the right in a whole number. This helps in estimating large sums or simplifying numbers for calculations. When we round 5326 to the nearest thousand, we focus on this fourth digit, '5,' and the next one, '3.'
Rounding Rules
Rounding is a useful technique to simplify numbers, especially when precision is not necessary or when making quick estimates. Understanding the basic rules of rounding is essential.
Here's a simple way to remember how to round:
  • Identify the place value you need to round to (e.g., thousands place).
  • Look at the digit immediately to the right.
  • If this digit is less than 5, do not change the target digit. Set all digits to the right to zero.
  • If this digit is 5 or more, increase the target digit by 1 and set all following digits to zero.
For example, with the number 5326:
The '3' that follows '5' is less than 5, so '5' remains unchanged. Therefore, 5326 rounded to the nearest thousand becomes 5000.

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