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Rounding Numbers

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Rounding Numbers

Study Guide

Key Definition

Rounding involves approximating a number to a certain place value. If the digit to the right of the rounding digit is less than 5, keep the rounding digit and change others to zero; if 5 or more, increase the rounding digit by 1.

Important Notes

Identify the rounding digit before applying rules.
Digits to the right of the rounding digit determine rounding direction.
Rounding simplifies complex calculations.
Rounding can be applied to tens, hundreds, thousands, etc.
Rounding is an approximation; the result is not exact.

Mathematical Notation

$≈$ (read "is approximately equal to") is commonly used when writing a rounded value. For example, $261 ≈ 300$ when rounding 261 to the nearest hundred.

Use the ≈ symbol to show that a rounded value is an approximation.

Why It Works

Rounding helps to simplify numbers, making them easier to work with in mental math and estimations.

Remember

When rounding, focus on the digit to the right of the place value you're rounding to.

Quick Reference

Rounding Rule:If the next digit is < 5, keep the rounding digit; if ≥ 5, add 1 to it.

Understanding Rounding Numbers

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Video explanation of this concept

Beginner

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Beginner Explanation

Step 1 Find the digit in the place value to which you are rounding (the rounding digit). Step 2 Look at the digit immediately to its right. · If that digit is 0, 1, 2, 3, or 4, leave the rounding digit unchanged and replace all digits to its right with 0. · If that digit is 5, 6, 7, 8, or 9, increase the rounding digit by 1 and replace all digits to its right with 0.

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

Round 234 to the nearest hundred. What is the result?

Real-World Problem

Question Exercise

Intermediate

Teenager Scenario

You have $261, and you want to round it to the nearest hundred to budget your expenses. What amount should you consider?

Thinking Challenge

Thinking Exercise

Intermediate

Think About This

Consider how rounding can affect your monthly budget when estimating costs. Discuss the pros and cons.

Challenge Quiz

Single Choice Quiz

Advanced

Round 3,367 to the nearest thousand. What is the result?

Recap

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Review key concepts and takeaways