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Chapter 1: Problem 2

Round to the nearest ten. $$ 532 $$

Short Answer

Expert verified
530

Step by step solution

01

Identify the tens place

Look at the number 532. The digit 3 is in the tens place.
02

Look at the ones place

Now, look at the digit in the ones place, which is 2.
03

Determine if rounding up or down

Since the digit in the ones place (2) is less than 5, round down. This means the tens place value remains the same.
04

Change the ones place to zero

Replace the digit in the ones place with 0 to get the rounded number.
05

Result

The number 532 rounded to the nearest ten is 530.

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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 essential for rounding numbers correctly. Place value helps identify the digit's position in a number and determines its actual value. Let's take the number 532 as an example.

In the number 532:
  • The digit 鈥�5鈥� is in the hundreds place, representing 500.
  • The digit 鈥�3鈥� is in the tens place, representing 30.
  • The digit 鈥�2鈥� is in the ones place, representing 2.
Grasping the idea of place value will make it easier to identify which digit to focus on when rounding numbers. Remembering these positions is key when determining which digits change.
Rounding Rules
Rounding rules are simple guidelines used to decide whether to round a number up or down.

Here are the basic rounding rules:
  • If the digit to the right of the target place (ones' place for rounding to the nearest ten) is less than 5, round down.
  • If the digit is 5 or greater, round up.
Applying these rules ensures consistency when rounding any number. Let's use our example number again.

With 532:
  • Identify the tens place 鈥� it鈥檚 the '3'.
  • Look to the right 鈥� there鈥檚 a '2' in the ones place.
  • Since '2' is less than '5', we round down.
This rule makes it clear how to change the number effectively.
Nearest Ten
Rounding to the nearest ten is a common practice to simplify numbers. When rounding to the nearest ten, focus on the tens and the ones places.

In the given exercise, the number is 532. Here鈥檚 a quick guide to rounding it to the nearest ten:
  • Identify the tens place: It鈥檚 鈥�3鈥� in our example.
  • Look at the ones place: It鈥檚 鈥�2鈥� here.
  • Since 2 is less than 5, we follow the rule and round down.
  • Change the ones place to zero: 530 is our rounded number.

Practice this method to make rounding any number to the nearest ten a quick and easy task. It simplifies various mathematical operations and makes calculations more manageable.

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Most popular questions from this chapter

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