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Chapter 1: Problem 12

Round each number to the given place value. \(834 ;\) tens

Short Answer

Expert verified
830

Step by step solution

01

Identify the Given Number and the Place Value

The given number is 834 and the place value to round to is the tens place.
02

Locate the Tens Place Digit

Identify the digit in the tens place of the number 834. The digit in the tens place is 3.
03

Look at the Digit to the Right

Examine the digit to the immediate right of the tens place, which is the ones place. In this case, the digit is 4.
04

Apply the Rounding Rule

If the digit in the ones place (4) is less than 5, the tens place digit (3) remains the same. Replace all digits to the right of the tens place with zero.
05

Write the Rounded Number

The rounded number is 830.

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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. Each digit in a number has a specific place value, which tells us its position and its value. For example, in the number 834, the digit 8 is in the hundreds place, the digit 3 is in the tens place, and the digit 4 is in the ones place.
Place value helps us determine which digit we need to focus on when rounding.
rounding rules
Rounding numbers is a useful skill for making estimates.
Here are the basic rounding rules:
  • Identify the place value you are rounding to (e.g., tens place).
  • Look at the digit immediately to the right of the place value.
  • If that digit is 5 or greater, increase the place value digit by 1.
  • If that digit is less than 5, keep the place value digit the same.
  • Replace all digits to the right of the place value with zeros.
Following these rules ensures consistency and accuracy in rounding.
tens place
The tens place is crucial when rounding to the nearest ten.
In the number 834, the tens place is the second digit from the right, which is 3.
To round to the nearest ten, you need to check the digit in the ones place (right next to the tens place).
This helps you decide whether to round up or down.
one's place
The ones place directly influences rounding decisions.
In 834, the ones place is 4.
According to rounding rules, if this digit is less than 5, the tens place digit remains unchanged. In our case, since 4 is less than 5, the tens place stays 3.
The resulting rounded number is 830. Understanding the role of the ones place is key for accurate rounding.

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