/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 48 Round the number 3, 281 to the n... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 48

Round the number 3, 281 to the nearest ten.

Short Answer

Expert verified
3,280 is the number 3,281 rounded to the nearest ten.

Step by step solution

01

Identify the Tenths Place

To round to the nearest tenth, first identify the digit in the tenths place of the number 3,281. In the number 3,281, the tenths place is occupied by the digit 8.
02

Check the Next Digit

Look at the digit to the right of the tenths place. This is the digit in the ones place, which is 1 in the number 3,281.
03

Apply Rounding Rules

Use rounding rules to decide whether to round up or keep the digit. If the digit to the right is 5 or greater, increase the tenths place by 1. If it's less than 5, leave the tenths place as is. Since the ones place is 1, which is less than 5, we will not change the tenths digit.
04

Final Result

Keep the tenths place the same and change all digits to the right to zero to complete the rounding. Thus, rounding 3,281 to the nearest ten gives 3,280.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Understanding Place Value
Place value is a fundamental concept in mathematics that helps us determine the value of a digit based on its position in a number. Let's take the number 3,281 as an example. Here, each digit has its unique place value:
  • The '3' is in the thousand's place, meaning it contributes 3,000 to the number.
  • The '2' is in the hundred's place, contributing 200.
  • The '8' is in the ten's place, which is the position we're most interested in when rounding to the nearest ten. It means 80 is added to the number.
  • Finally, the '1' is in the one's place, contributing just 1.
Understanding place value is essential for rounding because it identifies the digit in the position you're rounding to and helps you decide if that digit needs to change.
Rounding Rules Explained
Rounding rules are guidelines that help us decide if a number should be adjusted upwards or stay the same when we are rounding it. Suppose we're rounding the number 3,281 to the nearest ten. Here鈥檚 how rounding rules work:
  • Identify the digit in the place value we're rounding to. In this case, it's the digit '8' in the ten's place.
  • Look at the digit immediately to the right, which is '1'.
  • The rule of thumb is: If this digit is 5 or greater, round up by increasing the ten's place by one. If it is less than 5, as it is here with 1, leave the ten's digit unchanged.
These rules ensure we always round off numbers in a consistent and predictable manner, making calculations simpler and results easier to communicate.
Rounding to the Nearest Ten
When rounding numbers, the phrase "nearest ten" indicates which digit we're focusing on. To round 3,281 to the nearest ten, follow these steps:
  • First, recognize the digit in the ten's place, which is '8'.
  • Then, look at the next digit, the one's place, which is '1'.
  • Apply the rounding rules: Since '1' is less than 5, the '8' remains the same.
Finally, any digit after the position we're rounding to becomes zero. Therefore, 3,281 rounded to the nearest ten is 3,280. This method efficiently simplifies numbers and keeps math operations clear and manageable.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Create factor trees for each number. Write the prime factorization for each number in compact form, using exponents. $$270$$

Simplify the given expression. $$ 15-1[19-(7+3)] $$

Simplify the given expression. $$ 2 \cdot 9 \div 3 \cdot 18 $$

Simplify the given expression. $$ 32-8 \cdot 2 $$

Simplify the given expression. $$ 3+6 \cdot 6 $$
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.