1. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 4 th Grade Number Sense 1.3 (2Q) Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. Lesson to be used by EDI-trained teachers only. Learning Objective Today, we will round numbers. CFU What are we going to do today? Activate (or provide) Prior Knowledge Circle the number in the thousands place. A. 53,231B. 84,562 Circle the number in the ten thousands place. C. 261,284D. 479,561 CFU Students, you already know how to identify the place value of numbers. Today, we are going to use place value to round numbers. Name __________________________ 4352807 onestenshundredsthousands ten thousands millions hundred thousands,, Place Value A digit is a number from 0 to 9: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Place value: The place is the position of a digit in a number. The value is the worth of the digit due to its position.

2. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 4 th Grade Number Sense 1.3 (2Q) Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. Lesson to be used by EDI-trained teachers only. Concept Development To round a number is to change a number to a near value. Rounding makes a number simpler by replacing all digits after the selected 1 digit with 0. Rounding Down Rounding down changes the number to a lesser value. Round down when the digit to the right of the selected digit is 4 or less. When rounding down the selected digit stays the same. 4,352,807 Round to the nearest ten thousand. 4,350,000 rounds down to CFU When rounding 7,819,623 to the nearest hundred thousand, will the number be rounded up or rounded down? How do you know? When rounding 7,819,623 to the nearest ten thousand, will the number be rounded up or rounded down? How do you know? In your own words, what does it mean to round a number? To round a number means to __________. A round downB round up A round downB round up 4352807 onestenshundredsthousands ten thousands millions hundred thousands,, Place Value 1 chosen Rounding Up Rounding up changes the number to a greater value. Round up when the digit to the right of the selected digit is 5 or more. When rounding up the selected digit is increased 2 by 1. 4,352,807 Round to the nearest hundred thousand. 4,400,000 rounds up to 2 made larger Go to Skill Dev.

3. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 4 th Grade Number Sense 1.3 (2Q) Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice Round numbers. Step #1: Read the problem and identify 3 the place value of the selected digit. (underline) Step #2: Identify the selected digit in the number. (circle) Step #3: Determine 4 whether to round up or down. Hint: Look at the digit to the right of the selected digit. Step #4: Round the number. Hint: Replace all digits after the selected digit with 0. 3 find 4 figure out Rounding down changes the number to a lesser value. Round down when the digit to the right of the selected digit is 4 or less. Rounding up changes the number to a greater value. Round up when the digit to the right of the selected digit is 5 or more. 1. 8,217,462 rounded __________ to the nearest thousand is _________________. down 8,217,000 4352807 onestenshundredsthousands ten thousands millions hundred thousands,, Place Value 2. 7,557,065 rounded __________ to the nearest thousand is _________________. 4. 7,574, 065 rounded __________ to the nearest ten thousand is _________________. 3. 8,213,462 rounded __________ to the nearest ten thousand is _________________. 5. 1,804,652 rounded __________ to the nearest thousand is _________________. up 1,805,000 6. 5,392,841 rounded __________ to the nearest thousand is _________________. 8. 9,468,983 rounded __________ to the nearest ten thousand is _________________. 7. 1,847,652 rounded __________ to the nearest ten thousand is _________________. 7,557,000 8,210,000 7,570,000 5,393,000 1,850,000 9,470,000 up down CFU (#2) How did I/you identify the place value of the selected digit? (#3) How did I/you determine to round up or down? (#4) How did I/you round the number? Back to Concept Development

4. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 4 th Grade Number Sense 1.3 (2Q) Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. Lesson to be used by EDI-trained teachers only. Relevance 1. Rounding numbers will make it easier to add large numbers. 2. Rounding numbers will help you do well on tests. CFU Does anyone else have another reason why it is relevant to round numbers? (pair-share) Why is it relevant to round numbers? You may give me one of my reasons or one of your own. Which reason is more relevant to you? Why? $19.89 The music book costs about $20 Learn to sing. Nichole wants to buy two copies of this book so that she and her friend can learn to sing. Rounding down changes the number to a lesser value. Round down when the digit to the right of the selected digit is 4 or less. Rounding up changes the number to a greater value. Round up when the digit to the right of the selected digit is 5 or more.

5. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 4 th Grade Number Sense 1.3 (2Q) Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. Lesson to be used by EDI-trained teachers only. down up 6,247,000 8,759,000 Rounding down changes the number to a lesser value. Round down when the digit to the right of the selected digit is 4 or less. Rounding up changes the number to a greater value. Round up when the digit to the right of the selected digit is 5 or more. Step #1: Read the problem and identify the place value of the selected digit. (underline) Step #2: Identify the selected digit in the number. (circle) Step #3: Determine whether to round up or down. Hint: Look at the digit to the right of the selected digit. Step #4: Round the number. Hint: Replace all digits after the selected digit with 0. 1. 6,247,262 rounded __________ to the nearest thousand is _________________. 2. 8,758,635 rounded __________ to the nearest thousand is _________________. 4352807 onestenshundredsthousands ten thousands millions hundred thousands,, Place Value Skill Closure Constructed Response Closure Summary Closure What did you learn today about rounding numbers? (pair-share) Day 1 __________________________________________________________________________________ _______________________________________________________________________________________ Day 2__________________________________________________________________________________ _______________________________________________________________________________________ When rounding to the nearest hundred thousand Isaac determined that 8,758,635 will be rounded down. Is he correct or incorrect? Explain your answer. ________________________________________ ________________________________________ ________________________________________

6. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 4 th Grade Number Sense 1.3 (2Q) Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. Lesson to be used by EDI-trained teachers only. Independent Practice Name __________________________ Round numbers. Step #1: Read the problem and identify the place value of the selected digit. (underline) Step #2: Identify the selected digit in the number. (circle) Step #3: Determine whether to round up or down. Hint: Look at the digit to the right of the selected digit. Step #4: Round the number. Hint: Replace all digits after the selected digit with 0. Rounding down changes the number to a lesser value. Round down when the digit to the right of the selected digit is 4 or less. Rounding up changes the number to a greater value. Round up when the digit to the right of the selected digit is 5 or more. 1. 9,754,200 rounded __________ to the nearest thousand is _________________. 5. 8,654,200 rounded __________ to the nearest ten thousand is _________________. 2. 3,292,707 rounded __________ to the nearest ten thousand is _________________. 3. 6,892,707 rounded __________ to the nearest thousand is _________________. up down 4. 5,659,200 rounded __________ to the nearest hundred thousand is _________________. 6. 1,578,142 rounded __________ to the nearest ten thousand is _________________. down up 6,893,000 9,754,000 3,290,000 8,650,000 1,580,000 5,700,000 4352807 onestenshundredsthousands ten thousands millions hundred thousands,, Place Value 7. 2,561,190 rounded __________ to the nearest hundred thousand is _________________. up 2,600,000 8. 2,561,190 rounded __________ to the nearest thousand is _________________. down 2,561,000

7. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 4 th Grade Number Sense 1.3 (2Q) Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. Lesson to be used by EDI-trained teachers only. Periodic Review 1 Name __________________________ Round numbers. Step #1: Read the problem and identify the place value of the selected digit. (underline) Step #2: Identify the selected digit in the number. (circle) Step #3: Determine whether to round up or down. Hint: Look at the digit to the right of the selected digit. Step #4: Round the number. Hint: Replace all digits after the selected digit with 0. Rounding down changes the number to a lesser value. Round down when the digit to the right of the selected digit is 4 or less. Rounding up changes the number to a greater value. Round up when the digit to the right of the selected digit is 5 or more. 1. 3,313,546 rounded __________ to the nearest ten thousand is _________________. down 2. 9,986,502 rounded __________ to the nearest ten thousand is _________________. 4. 8,674,017 rounded __________ to the nearest ten thousand is _________________. 3. 6,456,708 rounded __________ to the nearest hundred thousand is ________________. 5. 7,592,732 rounded __________ to the nearest thousand is _________________. up 6. 1,228,943 rounded __________ to the nearest hundred thousand is _________________. 8. 1,517,142 rounded __________ to the nearest thousand is _________________. 7. 8,654,200 rounded __________ to the nearest thousand is _________________. down up down 3,310,000 7,593,000 8,654,000 1,517,000 9,990,000 8,670,000 6,500,000 1,200,000 4352807 onestenshundredsthousands ten thousands millions hundred thousands,, Place Value

8. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 4 th Grade Number Sense 1.3 (2Q) Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. Lesson to be used by EDI-trained teachers only. Periodic Review 2 Name __________________________ Round numbers. Step #1: Read the problem and identify the place value of the selected digit. (underline) Step #2: Identify the selected digit in the number. (circle) Step #3: Determine whether to round up or down. Hint: Look at the digit to the right of the selected digit. Step #4: Round the number. Hint: Replace all digits after the selected digit with 0. Rounding down changes the number to a lesser value. Round down when the digit to the right of the selected digit is 4 or less. Rounding up changes the number to a greater value. Round up when the digit to the right of the selected digit is 5 or more. 1. 8,658,200 rounded __________ to the nearest thousand is _________________. down 2. 5,349,874 rounded __________ to the nearest ten thousand is _________________. 4. 4,100,894 rounded __________ to the nearest thousand is _________________. 3. 5,285,004 rounded __________ to the nearest hundred thousand is _________________. 5. 7,827,008 rounded __________ to the nearest thousand is _________________. down 6. 4,582,041 rounded __________ to the nearest hundred thousand is _________________. 8. 7,684,387 rounded __________ to the nearest ten thousand is _________________. 7. 2,005,864 rounded __________ to the nearest ten thousand is _________________. up down up 4,101,000 8,658,000 7,827,000 5,350,000 7,680,000 2,010,000 5,300,000 4,600,000 4352807 ones tenshundredsthousands ten thousands millions hundred thousands,, Place Value

9. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 4 th Grade Number Sense 1.3 (2Q) Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. Lesson to be used by EDI-trained teachers only. Periodic Review 3 Name __________________________ 1. 7,334,450 rounded __________ to the nearest hundred thousand is _________________. down 2. 1,987,235 rounded __________ to the nearest ten thousand is _________________. 4. 2,000,789 rounded __________ to the nearest ten thousand is _________________. 3. 1,285,004 rounded __________ to the nearest hundred thousand is _________________. 5. 5,667,235 rounded __________ to the nearest thousand is _________________. down 6. 2,824,679 rounded __________ to the nearest thousand is _________________. 8. 5,921,598 rounded __________ to the nearest thousand is _________________. 7. 6,558,901 rounded __________ to the nearest hundred thousand is _________________. up down Round numbers. Step #1: Read the problem and identify the place value of the selected digit. (underline) Step #2: Identify the selected digit in the number. (circle) Step #3: Determine whether to round up or down. Hint: Look at the digit to the right of the selected digit. Step #4: Round the number. Hint: Replace all digits after the selected digit with 0. Rounding down changes the number to a lesser value. Round down when the digit to the right of the selected digit is 4 or less. Rounding up changes the number to a greater value. Round up when the digit to the right of the selected digit is 5 or more. 5,667,000 2,825,000 5,922,000 1,990,000 2,000,000 1,300,000 6,600,000 7,300,000 4352807 onestenshundredsthousands ten thousands millions hundred thousands,, Place Value

10. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 4 th Grade Number Sense 1.3 (2Q) Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand. Lesson to be used by EDI-trained teachers only. Blank Page