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# Sec. 1.1 rounding numbers (v500)

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• Reasoning behind each multiple choice answer:Rounded down to nearest ten.Rounded up to nearest ten.Rounded down to nearest hundred.Correct answer.
• Reasoning behind each multiple choice answer:The hundred digit needs rounding up.Correct answer.Rounded down to the nearest ten.Rounded down to the nearest thousand.
• Reasoning behind each multiple choice answer:Forgot to drop digit after the hundredth.Correct answer.Rounded down to the nearest hundredth.Rounded down, and forgot to drop the last digit.
• Reasoning behind each multiple choice answer:Rounded up, and forgot to drop the last digit.Rounded up.Forgot to drop the last digit.Correct answer.
• ### Sec. 1.1 rounding numbers (v500)

1. 1. Rounding Numbers<br />Review ofBasicArithmetic<br />
2. 2. Section 1.1<br />Topics<br />Section 1.1: Place Value of Numbers<br />Section 1.1: Rounding Numbers<br />Section 1.2: Factors and Multiples<br />Section 1.3: Fractions<br />Section 1.4: Order of Operations (BEDMAS)<br />Section 1.5: Averages<br />Section 1.1: Place Value of Numbers<br />Section 1.1: Rounding Numbers<br />Section 1.2: Factors and Multiples<br />Section 1.3: Fractions<br />Section 1.4: Order of Operations (BEDMAS)<br />Section 1.5: Averages<br />
3. 3. Section 1.1<br />Rounding Whole Numbers and Decimals<br />Rounding changes some of the digits in a number but keeps its value close to the original.<br />Example<br />Example<br />The population of the world is approximately 6.78 billion.<br />Ralph’s food expenses are approximately \$300 per month.<br />His actual food expenses could be \$315 one month, \$291.95 the next month, and so on.<br />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.<br />
4. 4. Section 1.1<br />Rules for Rounding Whole Numbers<br />Rounding whole numbers refers to changing the value of the whole number to the nearest ten, hundred, thousand, etc. <br />Example<br />Round 73,423 to the nearest ten.<br />If the digit to the immediate right of the rounding digit is less than 5, do not change the value of the rounding digit.<br />Change the value of all digits that are to the right of the rounding digit to 0.<br />0<br />73,4<br />2<br />3<br />Digit is less than 5<br />73,423 rounded to the nearest ten is 73,420.<br />2 is the rounding digit<br />
5. 5. Section 1.1<br />Rules for Rounding Whole Numbers<br />Rounding whole numbers refers to changing the value of the whole number to the nearest ten, hundred, thousand, etc. <br />Example<br />Round 25,578 to the nearest ten.<br />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).<br />Change the value of all digits that are to the right of the rounding digit to 0.<br />8<br />0<br />25,5<br />7<br />8<br />Digit is greater than 5<br />25,578 rounded to the nearest ten is 25,580.<br />7 is the rounding digit<br />
6. 6. Section 1.1<br />Round 52,876 to the nearest hundred.<br />52,870<br />52,880<br />52,700<br />52,900<br />
7. 7. Solution<br />Round 52,876 to the nearest hundred.<br />876<br />900<br />52<br />,<br />Digit is greater than 5<br />8 is the rounding digit<br />52,876 rounded to the nearest hundred is 52,900.<br />
8. 8. Section 1.1<br />Round 75,298 to the nearest ten.<br />75,200<br />75,300<br />75,290<br />74,000<br />
9. 9. Solution<br />Round 75,298 to the nearest ten.<br />75,<br />298<br />300<br />When 9 is increased by one, the digit to its left also has to be increased by one.<br />Digit is greater than 5<br />9 is the rounding digit<br />75,298 rounded to the nearest ten is 75,300.<br />
10. 10. Section 1.1<br />Rules for Rounding Decimals<br />Rounding decimals refers to changing the value of the decimal number to the nearest whole number, tenth, hundredth, thousandth, etc.<br />Example<br />Round 12.675 to the nearest tenth.<br />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).<br />Drop all digits that are to the right of the rounding digit.<br />5<br />7<br />12.<br />6<br />7<br />Digit is greater than 5<br />12.675 rounded to the nearest tenth is 12.7.<br />6 is the rounding digit<br />
11. 11. Section 1.1<br />Round 372.137 to the nearest hundredth.<br />372.140<br />372.14<br />372.130<br />372.13<br />
12. 12. Solution<br />Round 372.137 to the nearest hundredth.<br />372.1<br />37<br />4<br />Digit is greater than 5<br />3 is the rounding digit<br />372.137 rounded to the nearest hundredth is 372.14<br />
13. 13. Section 1.1<br />Round \$157.343 to the nearest cent.<br />157.350<br />157.35<br />157.340<br />157.34<br />
14. 14. Solution<br />Round \$157.343 to the nearest cent.<br />3<br />157.34<br />Digit is less than 5<br />Rounding to the nearest cent means rounding to two decimal places. <br />4 is the rounding digit(cent)<br />\$157.343 rounded to the nearest cent is \$157.34.<br />