This document discusses rounding numbers, including: - Rounding whole numbers to the nearest ten, hundred, thousand, etc. based on whether the digit to the right of the rounding digit is less than or greater than 5 - Rounding decimals to the nearest tenth, hundredth, thousandth, etc. using the same rules - Examples are provided to demonstrate rounding 52,876 to the nearest hundred, 75,298 to the nearest ten, 372.137 to the nearest hundredth, and $157.343 to the nearest cent

1. Rounding NumbersReview ofBasicArithmetic

2. Section 1.1TopicsSection 1.1: Place Value of NumbersSection 1.1: Rounding NumbersSection 1.2: Factors and MultiplesSection 1.3: FractionsSection 1.4: Order of Operations (BEDMAS)Section 1.5: AveragesSection 1.1: Place Value of NumbersSection 1.1: Rounding NumbersSection 1.2: Factors and MultiplesSection 1.3: FractionsSection 1.4: Order of Operations (BEDMAS)Section 1.5: Averages

3. Section 1.1Rounding Whole Numbers and DecimalsRounding changes some of the digits in a number but keeps its value close to the original.ExampleExampleThe population of the world is approximately 6.78 billion.Ralph’s food expenses are approximately $300 per month.His actual food expenses could be $315 one month, $291.95 the next month, and so on.That is not, of course, the exact number (which is more like 6,775,235,700, according to a World Bank estimate in 2009).Rounding the number makes it easier to remember and to work with.

4. Section 1.1Rules for Rounding Whole NumbersRounding whole numbers refers to changing the value of the whole number to the nearest ten, hundred, thousand, etc. ExampleRound 73,423 to the nearest ten.If the digit to the immediate right of the rounding digit is less than 5, do not change the value of the rounding digit.Change the value of all digits that are to the right of the rounding digit to 0.073,423Digit is less than 573,423 rounded to the nearest ten is 73,420.2 is the rounding digit

5. Section 1.1Rules for Rounding Whole NumbersRounding whole numbers refers to changing the value of the whole number to the nearest ten, hundred, thousand, etc. ExampleRound 25,578 to the nearest ten.If the digit to the immediate right of the rounding digit is 5 or greater than 5, increase the value of the rounding digit by one (round up by one number).Change the value of all digits that are to the right of the rounding digit to 0.8025,578Digit is greater than 525,578 rounded to the nearest ten is 25,580.7 is the rounding digit

6. Section 1.1Round 52,876 to the nearest hundred.52,87052,88052,70052,900

7. SolutionRound 52,876 to the nearest hundred.87690052,Digit is greater than 58 is the rounding digit52,876 rounded to the nearest hundred is 52,900.

8. Section 1.1Round 75,298 to the nearest ten.75,20075,30075,29074,000

9. SolutionRound 75,298 to the nearest ten.75,298300When 9 is increased by one, the digit to its left also has to be increased by one.Digit is greater than 59 is the rounding digit75,298 rounded to the nearest ten is 75,300.

10. Section 1.1Rules for Rounding DecimalsRounding decimals refers to changing the value of the decimal number to the nearest whole number, tenth, hundredth, thousandth, etc.ExampleRound 12.675 to the nearest tenth.If the digit to the immediate right of the rounding digit is 5 or greater than 5, increase the value of the rounding digit by one (round up by one number).Drop all digits that are to the right of the rounding digit.5712.67Digit is greater than 512.675 rounded to the nearest tenth is 12.7.6 is the rounding digit

11. Section 1.1Round 372.137 to the nearest hundredth.372.140372.14372.130372.13

12. SolutionRound 372.137 to the nearest hundredth.372.1374Digit is greater than 53 is the rounding digit372.137 rounded to the nearest hundredth is 372.14

13. Section 1.1Round $157.343 to the nearest cent.157.350157.35157.340157.34

14. SolutionRound $157.343 to the nearest cent.3157.34Digit is less than 5Rounding to the nearest cent means rounding to two decimal places. 4 is the rounding digit(cent)$157.343 rounded to the nearest cent is $157.34.