Transcript Round multi-digit numbers.

Learning Objective
We will round multi-digit numbers.
CFU
What are we going to do?
Activate Prior Knowledge
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.
1. What is the value of the digit 9?
93,671
The value of 9 in 93,671 is 90,000
_______.
2. What is the value of the digit 7?
Make Connection
Students, you already know
how to identify the place value
of numbers. Now, we are
going to use place value to
round multi-digit numbers.
97,526
The value of 7 in 97,526 is 97,000
_______.
READY TO TEACHSM EDI® Lessons
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations in Base Ten 3.0
Use place value understanding to round multi-digit whole numbers to
any place.
Lesson to be used by EDI-trained teachers only.
Concept Development
To round a multi-digit number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Rounding multi-digit numbers.
Round 82,273 to the nearest thousand.
CFU
82,237
82,000
Would 4,350 rounded to the
nearest thousand round up or
down? How do you know?
82,500
83,000
82,237 rounded to the nearest thousand is 82,000
because it is nearer in value to 82,000 than 83,000.
Round 787,530 to the nearest ten thousand.
785,000
5,000
Would 5,670 rounded to the
nearest thousand round up or
down? How do you know?
5,500
6,000
A up
B down
790,000
787,530 rounded to the nearest ten thousand is
790,000 because it is nearer in value to 790,000
than 780,000.
©2013 All rights reserved.
4,500
A up
B down
5,000
787,530
780,000
4,000
In your own words, what does
it mean to round a multi-digit
number?
“Rounding a multi-digit number means
__________.”
CCSS 4th Grade Numbers and Operations in Base Ten 3.0
Round multi-digit numbers.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice
To round a multi-digit number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Round multi-digit numbers.
1 Read the problem and identify1 the place value to round to. (circle)
2 Label the number line with the appropriate2 numbers.
3 Place the given number on the number line.
4 Round the number up or down.
5 Interpret3 your answer. (write)
CFU
1 How did I/you identify the
place value to round to?
2 How did I/you label the
number line?
3 How did I/you place the
1. Round to the nearest thousand.
2. Round to the nearest thousand.
45,692
36,428
45,692
45,000
45,500
4
36,428
given number on the
number line?
How did I/you round the
number?
46,000 36,000
__________
45,692 rounded to the nearest
thousand is ________
46,000 because
it is nearer in value to 46,000 than
______________________________
45,000.
______________________________.
36,550
37,000
__________
36,428 rounded to the nearest
36,000 because
thousand is ________
it is nearer in value to 36,000 than
______________________________
37,000.
______________________________.
Vocabulary
1
find
right for a certain purpose
3 explain
2
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations in Base Ten 3.0
Round multi-digit numbers.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
To round a multi-digit number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Round multi-digit numbers.
1 Read the problem and identify the place value to round to. (circle)
2 Label the number line with the appropriate numbers.
3 Place the given number on the number line.
4 Round the number up or down.
5 Interpret your answer. (write)
CFU
1 How did I/you identify the
place value to round to?
2 How did I/you label the
number line?
3 How did I/you place the
3. Round to the nearest ten thousand.
4. Round to the nearest ten thousand.
213,462
557,065
213,462
210,000
215,000
220,000 550,000
213,462 rounded to the nearest
__________
210,000 because
ten thousand is ________
it is nearer in value to 210,000 than
______________________________
220,000.
______________________________.
©2013 All rights reserved.
4
557,065
given number on the
number line?
How did I/you round the
number?
555,000
560,000
557,065 rounded to the nearest
__________
560,000 because
ten thousand is ________
it is nearer in value to 560,000 than
______________________________
550,000.
______________________________.
CCSS 4th Grade Numbers and Operations in Base Ten 3.0
Round multi-digit numbers.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
To round a multi-digit number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Round multi-digit numbers.
1 Read the problem and identify the place value to round to. (circle)
2 Label the number line with the appropriate numbers.
3 Place the given number on the number line.
4 Round the number up or down.
5 Interpret your answer. (write)
CFU
1 How did I/you identify the
place value to round to?
2 How did I/you label the
number line?
3 How did I/you place the
5. Round to the nearest hundred
thousand.
6. Round to the nearest hundred
thousand.
821,346
360,428
360,428
821,346
800,000
850,000
900,000 300,000
821,346 rounded to the nearest
__________
hundred thousand is 800,000
________
is nearer in value to
because it_______________________
800,000 than 900,000.
______________________________.
©2013 All rights reserved.
4
given number on the
number line?
How did I/you round the
number?
350,000
400,000
365,428 rounded to the nearest
__________
400,000
hundred thousand is ________
it is nearer in value to
because _______________________
400,000 than 300,000.
______________________________.
CCSS 4th Grade Numbers and Operations in Base Ten 3.0
Round multi-digit numbers.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
To round a multi-digit number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Round multi-digit numbers.
1 Read the problem and identify the place value to round to. (circle)
2 Determine4 whether to round up or down.
CFU
Hint: Look at the digit in the next place value lower.
1 How did I/you identify the
3 Round the number.
4 Interpret your answer. (write)
7. Round to the nearest thousand.
3 6 9, 7 1 2
__________
369,712 rounded to the nearest
thousand is ________
370,000 because
______________________________
it is nearer in value to 370,000 than
______________________________.
369,000.
©2013 All rights reserved.
place value to be rounded?
2 How did I/you determine
8. Round to the nearest thousand.
3
whether to round up or
down?
How did I/you round the
number?
4 5 1, 6 2 3
__________
451,623 rounded to the nearest
thousand is ________
452,000 because
it is nearer in value to 452,000 than
______________________________
451,000.
______________________________.
Vocabulary
4
figure out
CCSS 4th Grade Numbers and Operations in Base Ten 3.0
Round multi-digit numbers.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
To round a multi-digit number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Round multi-digit numbers.
1 Read the problem and identify the place value to round to. (circle)
2 Determine whether to round up or down.
CFU
Hint: Look at the digit in the next place value lower.
1 How did I/you identify the
3 Round the number.
4 Interpret your answer. (write)
9. Round to the nearest ten thousand.
3 6 5, 7 1 2
365,712 rounded to the nearest
__________
370,000 because
ten thousand is ________
it is nearer in value to 370,000 than
______________________________
360,000.
______________________________.
©2013 All rights reserved.
place value to be rounded?
2 How did I/you determine
3
10. Round to the nearest ten
thousand.
whether to round up or
down?
How did I/you round the
number?
4 1 2, 6 2 3
412,623 rounded to the nearest
__________
ten thousand is ________
410,000 because
it is nearer in value to 410,000 than
______________________________
420,000.
______________________________.
CCSS 4th Grade Numbers and Operations in Base Ten 3.0
Round multi-digit numbers.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
To round a multi-digit number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Round multi-digit numbers.
1 Read the problem and identify the place value to round to. (circle)
2 Determine whether to round up or down.
CFU
Hint: Look at the digit in the next place value lower.
1 How did I/you identify the
3 Round the number.
4 Interpret your answer. (write)
11. Round to the nearest hundred
thousand.
3 2 6, 7 1 2
__________
326,712 rounded to the nearest
hundred thousand is ________
300,000
is nearer in value to
because it
_______________________
300,000 than 400,000.
______________________________.
©2013 All rights reserved.
place value to be rounded?
2 How did I/you determine
12. Round to the nearest hundred
thousand.
3
whether to round up or
down?
How did I/you round the
number?
4 5 7, 6 2 3
457,623 rounded to the nearest
__________
500,000
hundred thousand is ________
is nearer in value to
because it
_______________________
500,000 than 400,000.
______________________________.
CCSS 4th Grade Numbers and Operations in Base Ten 3.0
Round multi-digit numbers.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
CFU
1 How did I/you determine what
the question is asking?
2 How did I/you determine the
3
4
5
math concept required?
How did I/you determine the
relevant information?
How did I/you solve and
interpret the problem?
How did I/you check the
reasonableness of the answer?
Eduardo rounded the following numbers to the nearest ten thousand. Some of his
answers are incorrect. Cross out any incorrect answers and write in the correct
ones.
809,803
613,782
884,097
345, 845
610,000
340,000
880,000
810,000
350,000
669,961
695,632
125,385
731,892
670,000
690,000
120,000
730,000
700,000
130,000
Explain the mistake that Eduardo was making when he rounded the numbers
above.
__________________________________________________________________
Eduardo rounded the numbers with 5 in the thousands place down. He
__________________________________________________________________
should have rounded those numbers up.
__________________________________________________________________
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations in Base Ten 3.0
Round multi-digit numbers.
Lesson to be used by EDI-trained teachers only.
Relevance
To round a multi-digit number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
1 Rounding numbers will make it easier to manage money.
Sarah wanted to buy a new car. The price was
$19,875. She also wanted to buy a new television
that cost $1,598. She knows that she needs
about $22,000 to get both.
2 Rounding multi-digit numbers will help you do well on
tests.
Sample Test Question:
29. Which of the following numbers would be
rounded down to the nearest ten thousand?
©2013 All rights reserved.
206,127
Yes
No
783,344
Yes
No
124,478
Yes
No
977,124
Yes
No
CFU
Does anyone else have another
reason why it is relevant to
round multi-digit numbers?
(Pair-Share) Why is it relevant
to round multi-digit numbers?
You may give one of my
reasons or one of your own.
Which reason is more relevant
to you? Why?
CCSS 4th Grade Numbers and Operations in Base Ten 3.0
Round multi-digit numbers.
Lesson to be used by EDI-trained teachers only.
To round a multi-digit number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Skill Closure
Round multi-digit numbers.
1 Read the problem and identify the place value to round to. (circle)
2 Determine whether to round up or down.
Hint: Look at the digit in the next place value lower.
3 Round the number.
4 Interpret your answer. (write)
1. Round to the nearest thousand.
2. Round to the nearest ten thousand.
2 4 7, 2 6 2
247,262 rounded to the nearest
__________
247,000 because
thousand is ________
it is nearer in value to 247,000 than
______________________________
248,000.
______________________________.
7 5 8, 6 3 5
758,635 rounded to the nearest
__________
ten thousand is ________
760,000 because
it is nearer in value to 760,000 than
______________________________
750,000.
______________________________.
Access Common Core
Albert thinks that 253,430 rounded to the nearest ten thousand is 260,000. Do you agree with
his answer? Why or why not? Use the number line to explain.
I do not agree with Albert because 253,430 is closer to 250,000.
253,430
Summary Closure
250,000
255,000
Word Bank
round
value
nearer
greater
lesser
multi-digit
260,000
What did you learn today about rounding multi-digit numbers? (Pair-Share)
Use words from the word bank.
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations in Base Ten 3.0
Round multi-digit numbers.
Lesson to be used by EDI-trained teachers only.
Independent Practice
To round a multi-digit number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Round multi-digit numbers.
1 Read the problem and identify the place value to round to. (circle)
2 Label the number line with the appropriate numbers.
3 Place the given number on the number line.
4 Round the number up or down.
5 Interpret your answer. (write)
1. Round to the nearest hundred
thousand.
2. Round to the nearest ten thousand.
7 5 4, 2 0 0
8 9 5, 7 0 7
895,707
754,200
700,000
750,000
800,000 890,000
754,200 rounded to the nearest
__________
hundred thousand is 800,000
________
is nearer in value to
because it_______________________
800,000 than 700,000.
______________________________.
©2013 All rights reserved.
895,000
900,000
895,707 rounded to the nearest
__________
ten thousand is 900,000
________ because
it is nearer in value to 900,000 than
_______________________________
890,000.
______________________________.
CCSS 4th Grade Numbers and Operations in Base Ten 3.0
Round multi-digit numbers.
Lesson to be used by EDI-trained teachers only.
Independent Practice (continued)
To round a multi-digit number is to change it to a near value.
• Rounding down changes the number to a lesser value.
• Rounding up changes the number to a greater value.
Round multi-digit numbers.
1 Read the problem and identify the place value to round to. (circle)
2 Determine whether to round up or down.
Hint: Look at the digit in the next place value lower.
3 Round the number.
4 Interpret your answer. (write)
3. Round to the nearest hundred
thousand.
5 6 1, 1 9 0
4. Round to the nearest hundred
thousand.
6 5 9, 2 3 2
561,190 rounded to the nearest
__________
hundred thousand is 600,000
________
is nearer in value to
because it
_______________________
600,000 than 500,000.
______________________________.
659,232 rounded to the nearest
__________
hundred thousand is 700,000
________
is nearer in value to
because it
_______________________
700,000 than 600,000.
______________________________.
5. Round to the nearest ten thousand.
6. Round to the nearest thousand.
7 3 5, 3 6 2
7 7 5, 5 4 1
__________
735,362 rounded to the nearest
ten thousand is ________
740,000 because
______________________________
it is nearer in value to 740,000 than
______________________________.
730,000.
__________
775,541 rounded to the nearest
thousand is ________
776,000 because
______________________________
it is nearer in value to 776,000 than
______________________________.
775,000.
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations in Base Ten 3.0
Round multi-digit numbers.
Lesson to be used by EDI-trained teachers only.
Periodic Review 1
1. Round to the nearest ten thousand.
4 3 9, 5 7 7
439,577 rounded to the nearest
__________
440,000 because
ten thousand is ________
it is nearer in value to 440,000 than
______________________________
430,000.
______________________________.
2. Round to the nearest hundred
thousand.
4 2 3, 7 7 1
423,771 rounded to the nearest
__________
hundred thousand is ________
400,000
it is nearer in value to
because _______________________
400,000 than 500,000.
______________________________.
Access Common Core
1. When rounding to the nearest ten thousand, Dina determined that 967,583 will
be rounded down.
Explain why Dina is incorrect.
Dina is incorrect because 7 is in the thousands place. The number is closer
to 970,000 than 960,000.
2. When rounding to the nearest thousand, Joseph determined that 534,192 will
be rounded up.
Explain why Joseph is incorrect.
Joseph is incorrect because 1 is in the hundreds place. The number is
closer to 534,000 than 535,000.
3. When rounding to the nearest hundred thousand, Jody determined that
794,354 will be rounded down.
Explain why Jody is correct.
Dina is correct because 9 is in the ten thousands place. The number is
closer to 800,000 than 700,000.
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations in Base Ten 3.0
Round multi-digit numbers.
Lesson to be used by EDI-trained teachers only.
Periodic Review 2
1. Round to the nearest thousand.
6 4 5, 1 7 9
645,179 rounded to the nearest
__________
645,000 because
thousand is ________
it is nearer in value to 645,000 than
______________________________
646,000.
______________________________.
2. Round to the nearest hundred
thousand.
6 2 0, 0 6 3
620,063 rounded to the nearest
__________
hundred thousand is ________
600,000
it is nearer in value to
because _______________________
600,000 than 700,000.
______________________________.
Access Common Core
1. Choose Yes or No to indicate whether each statement is true about the number
94,632.
O Yes O No
1a. 94,632 rounded to the nearest ten is 94,630.
1b. 94,632 is nearer in value to 94,000 than 95,000.
O Yes O No
1c. 94,632 rounded to the nearest hundred thousand is 100,000. O Yes O No
2. Choose Yes or No to indicate whether each statement is true about the number
697,841.
1a. 697,841 rounded to the nearest ten thousand is 690,000.
O Yes O No
1b. 697,841 is nearer in value to 700,000 than 690,000.
O Yes O No
1c. 697,841 rounded to the nearest thousand is 697,000.
O Yes O No
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations in Base Ten 3.0
Round multi-digit numbers.
Lesson to be used by EDI-trained teachers only.
Periodic Review 3
1. Round to the nearest hundred
thousand.
9 4 9, 5 9 4
949,594 rounded to the nearest
__________
900,000
hundred thousand is ________
it is nearer in value to
because _______________________
900,000 than 1,000,000.
______________________________.
2. Round to the nearest ten thousand.
6 6 3, 7 8 5
663,785 rounded to the nearest
__________
ten thousand is ________
660,000 because
it is nearer in value to 660,000 than
______________________________
670,000.
______________________________.
Access Common Core
1. Alice is rounding the number 797,908 to the nearest ten thousand. She thinks
that the rounded number will be 790,000. Do you agree with her? Why or why
not?
No, I do not agree with her. The number is closer to 800,000 than 790,000.
2. Braden is rounding the number 989,976 to the nearest hundred thousand. He
thinks that the answer will be 1,000,000. Do you agree with him? Why or why
not?
Yes, I do agree with him. The number is closer to 1,000,000 than 900,000.
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations in Base Ten 3.0
Round multi-digit numbers.
Lesson to be used by EDI-trained teachers only.