Learning Objective
Name __________________________
Today, we will round numbers.
CFU
What are we going to do today?
ones
tens
hundreds
thousands
millions
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.
hundred
thousands
ten
thousands
Place Value
Activate (or provide) Prior Knowledge
4, 3 5 2, 8 0 7
Circle the number in the thousands place.
A. 53,231
B. 84,562
Circle the number in the ten thousands place.
C. 261,284
D. 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.
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4th 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 selected1 digit with 0.
ones
tens
hundreds
thousands
chosen
hundred
thousands
ten
thousands
millions
1
Place Value
4, 3 5 2, 8 0 7
Rounding Down
Rounding Up
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.
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 increased2 by 1.
2
Round to the nearest ten thousand.
Round to the nearest hundred thousand.
4,352,807
4,352,807
rounds down to
rounds up to
4,350,000
CFU
When rounding
made larger
Go to Skill Dev.
4,400,000
Go to Skill Dev.
7,819,623 to the nearest hundred thousand, will the number be rounded up or rounded down? How do you know?
A round down
B round up
When rounding 7,819,623 to the nearest ten thousand, will the number be rounded up or rounded down? How do you know?
A round down
B round up
In your own words, what does it mean to round a number? To round a number means to __________.
DataWORKS Educational Research
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©2012 All rights reserved.
Comments? feedback@dataworks-ed.com
4th 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
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 identify3 the place value of the selected digit. (underline)
Step #2: Identify the selected digit in the number. (circle)
Step #3: Determine4 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
ones
tens
hundreds
thousands
Round numbers.
hundred
thousands
ten
thousands
millions
Place Value
4, 3 5 2, 8 0 7
figure out
1. 8,217,462 rounded __________
to the nearest thousand is _________________.
8,217,000
down
7,557,000
2. 7,557,065 rounded __________
to the nearest thousand is _________________.
down
3. 8,213,462 rounded __________
to the nearest ten thousand is _________________.
8,210,000
down
7,570,000
4. 7,574, 065 rounded __________
to the nearest ten thousand is _________________.
down
Back to Concept Development
5. 1,804,652 rounded __________
to the nearest thousand is _________________.
1,805,000
up
6. 5,392,841 rounded __________
to the nearest thousand is _________________.
5,393,000
up
7. 1,847,652 rounded __________
to the nearest ten thousand is _________________.
up
1,850,000
8. 9,468,983 rounded __________
to the nearest ten thousand is _________________.
up
9,470,000
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?
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©2012 All rights reserved.
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4th 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
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. Rounding numbers will make it easier to add large numbers.
Learn to sing.
$19.89
The music book
costs about $20
Nichole wants to buy two copies
of this book so that she and her
friend can learn to sing.
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?
DataWORKS Educational Research
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©2012 All rights reserved.
Comments? feedback@dataworks-ed.com
4th 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.
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.
Skill Closure
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.
down
1. 6,247,262 rounded __________
to the nearest thousand is _________________.
6,247,000
ones
tens
hundreds
thousands
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.
millions
Constructed Response Closure
hundred
thousands
ten
thousands
Place Value
2. 8,758,635 rounded __________
to the nearest thousand is _________________.
8,759,000
up
4, 3 5 2, 8 0 7
________________________________________
________________________________________
________________________________________
Summary Closure
What did you learn today about rounding numbers? (pair-share)
Day 1 __________________________________________________________________________________
_______________________________________________________________________________________
Day 2__________________________________________________________________________________
_______________________________________________________________________________________
DataWORKS Educational Research
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©2012 All rights reserved.
Comments? feedback@dataworks-ed.com
4th 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.
Name __________________________
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.
ones
tens
hundreds
thousands
millions
Place Value
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.
hundred
thousands
ten
thousands
Independent Practice
4, 3 5 2, 8 0 7
down
1. 9,754,200 rounded __________
to the nearest thousand is _________________.
9,754,000
2. 3,292,707 rounded __________
to the nearest ten thousand is _________________.
3,290,000
down
3. 6,892,707 rounded __________
to the nearest thousand is _________________.
up
6,893,000
4. 5,659,200 rounded __________
to the nearest hundred thousand is _________________.
5,700,000
up
5. 8,654,200 rounded __________
to the nearest ten thousand is _________________.
8,650,000
down
6. 1,578,142 rounded __________
to the nearest ten thousand is _________________.
1,580,000
up
7. 2,561,190 rounded __________
to the nearest hundred thousand is _________________.
2,600,000
up
8. 2,561,190 rounded __________
to the nearest thousand is 2,561,000
_________________.
down
DataWORKS Educational Research
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©2012 All rights reserved.
Comments? feedback@dataworks-ed.com
4th 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.
Name __________________________
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.
ones
tens
hundreds
thousands
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.
millions
Place Value
hundred
thousands
ten
thousands
Periodic Review 1
4, 3 5 2, 8 0 7
1. 3,313,546 rounded __________
to the nearest ten thousand is _________________.
3,310,000
down
2. 9,986,502 rounded __________
to the nearest ten thousand is _________________.
9,990,000
up
3. 6,456,708 rounded __________
to the nearest hundred thousand is ________________.
6,500,000
up
4. 8,674,017 rounded __________
to the nearest ten thousand is _________________.
8,670,000
down
5. 7,592,732 rounded __________
to the nearest thousand is _________________.
up
7,593,000
6. 1,228,943 rounded __________
to the nearest hundred thousand is _________________.
1,200,000
down
7. 8,654,200 rounded __________
to the nearest thousand is _________________.
down
8,654,000
8. 1,517,142 rounded __________
to the nearest thousand is _________________.
1,517,000
down
DataWORKS Educational Research
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©2012 All rights reserved.
Comments? feedback@dataworks-ed.com
4th 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.
Name __________________________
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.
ones
tens
hundreds
thousands
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.
millions
Place Value
hundred
thousands
ten
thousands
Periodic Review 2
4, 3 5 2, 8 0 7
1. 8,658,200 rounded __________
to the nearest thousand is _________________.
down
8,658,000
2. 5,349,874 rounded __________
to the nearest ten thousand is _________________.
up
5,350,000
3. 5,285,004 rounded __________
to the nearest hundred thousand is _________________.
up
5,300,000
4. 4,100,894 rounded __________
to the nearest thousand is _________________.
4,101,000
up
5. 7,827,008 rounded __________
to the nearest thousand is _________________.
down
7,827,000
6. 4,582,041 rounded __________
to the nearest hundred thousand is _________________.
up
4,600,000
7. 2,005,864 rounded __________
to the nearest ten thousand is _________________.
up
2,010,000
8. 7,684,387 rounded __________
to the nearest ten thousand is _________________.
7,680,000
down
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? feedback@dataworks-ed.com
4th 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.
Name __________________________
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.
ones
tens
hundreds
thousands
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.
millions
Place Value
hundred
thousands
ten
thousands
Periodic Review 3
4, 3 5 2, 8 0 7
1. 7,334,450 rounded __________
to the nearest hundred thousand is _________________.
down
7,300,000
1,990,000
2. 1,987,235 rounded __________
to the nearest ten thousand is _________________.
up
3. 1,285,004 rounded __________
to the nearest hundred thousand is _________________.
1,300,000
up
4. 2,000,789 rounded __________
to the nearest ten thousand is _________________.
down
2,000,000
5. 5,667,235 rounded __________
to the nearest thousand is _________________.
down
5,667,000
6. 2,824,679 rounded __________
to the nearest thousand is _________________.
2,825,000
up
7. 6,558,901 rounded __________
to the nearest hundred thousand is _________________.
up
6,600,000
8. 5,921,598 rounded __________
to the nearest thousand is _________________.
up
5,922,000
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? feedback@dataworks-ed.com
4th 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
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? feedback@dataworks-ed.com
4th 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.