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
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The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
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http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
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2. Section 1.1 Topics Section 1.1: Place Value of Numbers Section 1.1: Rounding Numbers Section 1.2: Factors and Multiples Section 1.3: Fractions Section 1.4: Order of Operations (BEDMAS) Section 1.5: Averages Section 1.1: Place Value of Numbers Section 1.1: Rounding Numbers Section 1.2: Factors and Multiples Section 1.3: Fractions Section 1.4: Order of Operations (BEDMAS) Section 1.5: Averages
3. Section 1.1 Rounding Whole Numbers and Decimals Rounding changes some of the digits in a number but keeps its value close to the original. Example Example The 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 1.1 Rules for Rounding Whole Numbers Rounding whole numbers refers to changing the value of the whole number to the nearest ten, hundred, thousand, etc. Example Round 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. 0 73,4 2 3 Digit is less than 5 73,423 rounded to the nearest ten is 73,420. 2 is the rounding digit
5. Section 1.1 Rules for Rounding Whole Numbers Rounding whole numbers refers to changing the value of the whole number to the nearest ten, hundred, thousand, etc. Example Round 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. 8 0 25,5 7 8 Digit is greater than 5 25,578 rounded to the nearest ten is 25,580. 7 is the rounding digit
6. Section 1.1 Round 52,876 to the nearest hundred. 52,870 52,880 52,700 52,900
7. Solution Round 52,876 to the nearest hundred. 876 900 52 , Digit is greater than 5 8 is the rounding digit 52,876 rounded to the nearest hundred is 52,900.
8. Section 1.1 Round 75,298 to the nearest ten. 75,200 75,300 75,290 74,000
9. Solution Round 75,298 to the nearest ten. 75, 298 300 When 9 is increased by one, the digit to its left also has to be increased by one. Digit is greater than 5 9 is the rounding digit 75,298 rounded to the nearest ten is 75,300.
10. Section 1.1 Rules for Rounding Decimals Rounding decimals refers to changing the value of the decimal number to the nearest whole number, tenth, hundredth, thousandth, etc. Example Round 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. 5 7 12. 6 7 Digit is greater than 5 12.675 rounded to the nearest tenth is 12.7. 6 is the rounding digit
11. Section 1.1 Round 372.137 to the nearest hundredth. 372.140 372.14 372.130 372.13
12. Solution Round 372.137 to the nearest hundredth. 372.1 37 4 Digit is greater than 5 3 is the rounding digit 372.137 rounded to the nearest hundredth is 372.14
13. Section 1.1 Round $157.343 to the nearest cent. 157.350 157.35 157.340 157.34
14. Solution Round $157.343 to the nearest cent. 3 157.34 Digit is less than 5 Rounding 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.
Editor's Notes
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.
