lesson 2.1 reading and writing large numbers
TRANSCRIPT
CC 2.1 - Large Numbers CJ.notebook1
CC 2.1 Large Numbers CJ.notebook
2
3
4
Our Target:
By the end of today's lesson, you should be able to...
• Read and write large numbers in standard, expanded, and number-and-word notations
• Express the value of digits in a number
CC 2.1 Large Numbers CJ.notebook
5
CC 2.1 Large Numbers CJ.notebook
6
7
Standard Notation
• Each place is 10 times the place to its right • each period, or group, is divided into ones, tens, hundreds
• Each period is separated by a comma
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ h t o h t o h t o h t o h t o
CC 2.1 Large Numbers CJ.notebook
8
95,000,000,000,000 Let's take a closer look...
What are some patterns that you see above? • each place is ________ the value to its right • each group is divided into 3 places • each group is separated by a comma
What number would be... • 10 times greater than 95,000,000,000? • 1/10 times as great as 95,000,000,000?
CC 2.1 Large Numbers CJ.notebook
9
540,345,000,797,340
540,345,234,797,340
10
_ _ _ , _ _ _ , _ _ _ , _ _ _ , _ _ _
Create a place value chart on your whiteboard. Write the number as the teacher reads it to you.
CC 2.1 Large Numbers CJ.notebook
11
Expanded Notation
• A number is written as the sum of the values of its digits
345 = 300 + 40 + 5
12
(1 * 10,000) (9 * 1,000) (6*100) (3*10) (6*1)
CC 2.1 Large Numbers CJ.notebook
13
14
NumberandWord Notation
Significant digits followed by a word for the place value of the largest period
63,800,000 = 63,800,000 = 63.8 million
1. Choose the largest period group 2. Replace the comma with a decimal 3. Write down any other digits to the right of the
decimal 4. Write the word for the largest period
CC 2.1 Large Numbers CJ.notebook
15
Did we reach our Target????
By the end of today's lesson, we should be able to...
• Read and write large numbers in standard, expanded, and number-and-word notations
• Express the value of digits in a number
CC 2.1 Large Numbers CJ.notebook
16
Due tomorrow: • Math Boxes 2.1 • Study Link 2.1 (2 pages)
Attachments
metadata.xml
preview.png
metadata.rdf
page1.svg
T, O Write the number represented by the stars on the line. T O T O
page2.svg
T, O Use the cloned star to make the numbers. T O T O 49 62
page17.svg
Hundreds H T O 9 8 7 6 5 4 2 3 1 0
page3.svg
H, T, O H T O Write the number represented by the stars on the line. H T O
page4.svg
H, T, O H T O Use the stars to make the numbers. H T O 508 850
page5.svg
Th, H, T, O Write the number represented by the stars on the line. Th H T O Th H T O
page6.svg
Th, H, T, O Use the stars to make the numbers. Th H T O Th H T O 3,075 5,302
page12.svg
Thousands HTh TTh Th H T O 9 8 7 6 5 4 2 3 1 0
page7.svg
HTh, TTh, Th, H, T, O Write the number represented by the stars on the line. Th H T O T Th H Th
page8.svg
HTh, TTh, Th, H, T, O Make 472,064 with the stars. Th H T O T Th H Th
page14.svg
Millions HTh TTh Th H T O HM TM M 9 8 7 6 5 4 2 3 1 0
page9.svg
Million Th H T O T Th H Th M Write the number represented by the stars on the line.
page10.svg
Million Th H T O T Th H Th M Make 1,460,401 with the stars.
SMART Notebook
metadata.xml
preview.png
page1.svg
Dec 13-1:41 PM © 2008 SMART Technologies ULC. All rights reserved. The Senteo logo and the SMART logo are trademarks or registered trademarks of SMART Technologies ULC in the U.S. and/or other countries. www.education.smarttech.com Place Value Place Value Grades: Subject: 4-6 Mathematics
page3.svg
Dec 13-3:02 AM 1 The place value of 5 in 2,956,013 is... A Thousands B Ten thousands C Hundred thousands D Hundreds Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page4.svg
Dec 13-3:02 AM 2 The place value of 2 in 10,251 is... A Thousands B Millions C Ten thousands D Hundreds Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page5.svg
Dec 13-3:02 AM 3 The place value of 7 in 571,031,982 is... A Ten millions B Hundred millions C Thousands D Millions Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page6.svg
Dec 13-3:02 AM What are the place values of 8 in 1,986,197,852? 4 A Millions B Ten millions C Thousands D Hundreds Multiple answer <persistencedata><PersistenceProperties id="CollapsedLocation"><x>512</x><y>23</y></PersistenceProperties></persistencedata>
page7.svg
Dec 13-3:02 AM What are the place values of 1 in 125,910,610? 5 A Hundred millions B Tens C Millions D Ten Thousands Multiple answer <persistencedata><PersistenceProperties id="CollapsedLocation"><x>512</x><y>23</y></PersistenceProperties></persistencedata>
page8.svg
Dec 13-3:02 AM 6 Which of the following numbers has 2 in the billions place? A 1,573,261,915 B 5,926,213,905 C 52,985,793,106 D 259,716,650 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page9.svg
Dec 13-3:02 AM Which of the following numbers has 6 in the hundred-thousands place? 7 A 168,702,238 B 1,695,789 C 25,619,502 D 600,591,873 Multiple answer <persistencedata><PersistenceProperties id="CollapsedLocation"><x>512</x><y>23</y></PersistenceProperties></persistencedata>
page10.svg
Dec 13-3:02 AM 8 Which of the following numbers has 9 in the millions place? A 1,196,210 B 9,563,781 C 250,951,230 D 2,695,368,721 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page11.svg
Dec 13-3:02 AM 9 The place value of 3 in 983,167,882 is... A Thousands B Hundred millions C Millions D Ten millions Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page12.svg
Dec 13-3:02 AM Which of the following numbers has 4 in the ten-billions place? 10 A 240,198,721,135 B 462,590,123 C 294,635,298 D 401,198,632,790 Multiple answer <persistencedata><PersistenceProperties id="CollapsedLocation"><x>512</x><y>23</y></PersistenceProperties></persistencedata>
SMART Notebook
distract you.
mind.
of These Tens?
matches the exponent number
have to do is multiply 1 x whole
number & add the zeros behind?
100 x 2 =
1,000 x 3 =
10,000 x 7 =
100,000 x 9 =
Combine these two steps for
writing large numbers.
6 x 10
600
Remember!
The exponent is the same as the number of zeros.
6 x 10
7 x 10
8 x 10
9 x 10
4 x 10
5 x 10
6 x 10
9 x 10
7 x 10
metadata.xml
preview.png
page1.svg
Dec 13-1:41 PM © 2008 SMART Technologies ULC. All rights reserved. The Senteo logo and the SMART logo are trademarks or registered trademarks of SMART Technologies ULC in the U.S. and/or other countries. www.education.smarttech.com Expanded Notation Expanded Notation Grades: Subject: 4-6 Mathematics
page2.svg
Dec 13-3:02 AM 1 Which of the following is the expanded notation of 29,875? A 20,000+9,800+70+5 B 20,000+90,000+800+70+5 C 20,000+9,000+800+70+5 D 20,000+9,000+80+70+5 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page3.svg
Dec 13-3:02 AM 2 Which of the following is the expanded notation of 659,215? A 600,000+59,000+200+10+5 B 600,000+50,000+9,000+200+15 C 650,000+9,000+200+10+5 D 600,000+50,000+9,000+200+10+5 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page4.svg
Dec 13-3:02 AM 3 Which of the following is the expanded notation of 75,053? A 70000+5000+050+3 B 70000+5000+000+50+3 C 70000+5000+100+50+3 D 70000+5000+50+3 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page5.svg
Dec 13-3:02 AM 4 Which of the following is the expanded notation of 546,903? A 500,000+40,000+6,000+900+00+3 B 500,000+40,000+6,000+900+30 C 500,000+40,000+6,000+800+00+3 D 500,000+40,000+6,900+3 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page6.svg
Dec 13-3:02 AM 5 Which of the following is the expanded notation of 9,005,267? A 9,000,000+00,000+5,000+200+60+7 B 9,000,000+000,000+00,000+5,000+200+60+7 C 9,000,000+5,000+200+60+7 D 900,000+000,000+00,000+5,000+200+60+7 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page7.svg
page8.svg
page9.svg
page10.svg
page11.svg
SMART Notebook
Page 12: Oct 19 - 3:05 PM
Page 13: Jul 31 - 1:01 AM
Page 14: Jun 25-10:58 AM
Page 15: Target check
Attachments Page 1
CC 2.1 Large Numbers CJ.notebook
2
3
4
Our Target:
By the end of today's lesson, you should be able to...
• Read and write large numbers in standard, expanded, and number-and-word notations
• Express the value of digits in a number
CC 2.1 Large Numbers CJ.notebook
5
CC 2.1 Large Numbers CJ.notebook
6
7
Standard Notation
• Each place is 10 times the place to its right • each period, or group, is divided into ones, tens, hundreds
• Each period is separated by a comma
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ h t o h t o h t o h t o h t o
CC 2.1 Large Numbers CJ.notebook
8
95,000,000,000,000 Let's take a closer look...
What are some patterns that you see above? • each place is ________ the value to its right • each group is divided into 3 places • each group is separated by a comma
What number would be... • 10 times greater than 95,000,000,000? • 1/10 times as great as 95,000,000,000?
CC 2.1 Large Numbers CJ.notebook
9
540,345,000,797,340
540,345,234,797,340
10
_ _ _ , _ _ _ , _ _ _ , _ _ _ , _ _ _
Create a place value chart on your whiteboard. Write the number as the teacher reads it to you.
CC 2.1 Large Numbers CJ.notebook
11
Expanded Notation
• A number is written as the sum of the values of its digits
345 = 300 + 40 + 5
12
(1 * 10,000) (9 * 1,000) (6*100) (3*10) (6*1)
CC 2.1 Large Numbers CJ.notebook
13
14
NumberandWord Notation
Significant digits followed by a word for the place value of the largest period
63,800,000 = 63,800,000 = 63.8 million
1. Choose the largest period group 2. Replace the comma with a decimal 3. Write down any other digits to the right of the
decimal 4. Write the word for the largest period
CC 2.1 Large Numbers CJ.notebook
15
Did we reach our Target????
By the end of today's lesson, we should be able to...
• Read and write large numbers in standard, expanded, and number-and-word notations
• Express the value of digits in a number
CC 2.1 Large Numbers CJ.notebook
16
Due tomorrow: • Math Boxes 2.1 • Study Link 2.1 (2 pages)
Attachments
metadata.xml
preview.png
metadata.rdf
page1.svg
T, O Write the number represented by the stars on the line. T O T O
page2.svg
T, O Use the cloned star to make the numbers. T O T O 49 62
page17.svg
Hundreds H T O 9 8 7 6 5 4 2 3 1 0
page3.svg
H, T, O H T O Write the number represented by the stars on the line. H T O
page4.svg
H, T, O H T O Use the stars to make the numbers. H T O 508 850
page5.svg
Th, H, T, O Write the number represented by the stars on the line. Th H T O Th H T O
page6.svg
Th, H, T, O Use the stars to make the numbers. Th H T O Th H T O 3,075 5,302
page12.svg
Thousands HTh TTh Th H T O 9 8 7 6 5 4 2 3 1 0
page7.svg
HTh, TTh, Th, H, T, O Write the number represented by the stars on the line. Th H T O T Th H Th
page8.svg
HTh, TTh, Th, H, T, O Make 472,064 with the stars. Th H T O T Th H Th
page14.svg
Millions HTh TTh Th H T O HM TM M 9 8 7 6 5 4 2 3 1 0
page9.svg
Million Th H T O T Th H Th M Write the number represented by the stars on the line.
page10.svg
Million Th H T O T Th H Th M Make 1,460,401 with the stars.
SMART Notebook
metadata.xml
preview.png
page1.svg
Dec 13-1:41 PM © 2008 SMART Technologies ULC. All rights reserved. The Senteo logo and the SMART logo are trademarks or registered trademarks of SMART Technologies ULC in the U.S. and/or other countries. www.education.smarttech.com Place Value Place Value Grades: Subject: 4-6 Mathematics
page3.svg
Dec 13-3:02 AM 1 The place value of 5 in 2,956,013 is... A Thousands B Ten thousands C Hundred thousands D Hundreds Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page4.svg
Dec 13-3:02 AM 2 The place value of 2 in 10,251 is... A Thousands B Millions C Ten thousands D Hundreds Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page5.svg
Dec 13-3:02 AM 3 The place value of 7 in 571,031,982 is... A Ten millions B Hundred millions C Thousands D Millions Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page6.svg
Dec 13-3:02 AM What are the place values of 8 in 1,986,197,852? 4 A Millions B Ten millions C Thousands D Hundreds Multiple answer <persistencedata><PersistenceProperties id="CollapsedLocation"><x>512</x><y>23</y></PersistenceProperties></persistencedata>
page7.svg
Dec 13-3:02 AM What are the place values of 1 in 125,910,610? 5 A Hundred millions B Tens C Millions D Ten Thousands Multiple answer <persistencedata><PersistenceProperties id="CollapsedLocation"><x>512</x><y>23</y></PersistenceProperties></persistencedata>
page8.svg
Dec 13-3:02 AM 6 Which of the following numbers has 2 in the billions place? A 1,573,261,915 B 5,926,213,905 C 52,985,793,106 D 259,716,650 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page9.svg
Dec 13-3:02 AM Which of the following numbers has 6 in the hundred-thousands place? 7 A 168,702,238 B 1,695,789 C 25,619,502 D 600,591,873 Multiple answer <persistencedata><PersistenceProperties id="CollapsedLocation"><x>512</x><y>23</y></PersistenceProperties></persistencedata>
page10.svg
Dec 13-3:02 AM 8 Which of the following numbers has 9 in the millions place? A 1,196,210 B 9,563,781 C 250,951,230 D 2,695,368,721 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page11.svg
Dec 13-3:02 AM 9 The place value of 3 in 983,167,882 is... A Thousands B Hundred millions C Millions D Ten millions Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page12.svg
Dec 13-3:02 AM Which of the following numbers has 4 in the ten-billions place? 10 A 240,198,721,135 B 462,590,123 C 294,635,298 D 401,198,632,790 Multiple answer <persistencedata><PersistenceProperties id="CollapsedLocation"><x>512</x><y>23</y></PersistenceProperties></persistencedata>
SMART Notebook
distract you.
mind.
of These Tens?
matches the exponent number
have to do is multiply 1 x whole
number & add the zeros behind?
100 x 2 =
1,000 x 3 =
10,000 x 7 =
100,000 x 9 =
Combine these two steps for
writing large numbers.
6 x 10
600
Remember!
The exponent is the same as the number of zeros.
6 x 10
7 x 10
8 x 10
9 x 10
4 x 10
5 x 10
6 x 10
9 x 10
7 x 10
metadata.xml
preview.png
page1.svg
Dec 13-1:41 PM © 2008 SMART Technologies ULC. All rights reserved. The Senteo logo and the SMART logo are trademarks or registered trademarks of SMART Technologies ULC in the U.S. and/or other countries. www.education.smarttech.com Expanded Notation Expanded Notation Grades: Subject: 4-6 Mathematics
page2.svg
Dec 13-3:02 AM 1 Which of the following is the expanded notation of 29,875? A 20,000+9,800+70+5 B 20,000+90,000+800+70+5 C 20,000+9,000+800+70+5 D 20,000+9,000+80+70+5 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page3.svg
Dec 13-3:02 AM 2 Which of the following is the expanded notation of 659,215? A 600,000+59,000+200+10+5 B 600,000+50,000+9,000+200+15 C 650,000+9,000+200+10+5 D 600,000+50,000+9,000+200+10+5 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page4.svg
Dec 13-3:02 AM 3 Which of the following is the expanded notation of 75,053? A 70000+5000+050+3 B 70000+5000+000+50+3 C 70000+5000+100+50+3 D 70000+5000+50+3 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page5.svg
Dec 13-3:02 AM 4 Which of the following is the expanded notation of 546,903? A 500,000+40,000+6,000+900+00+3 B 500,000+40,000+6,000+900+30 C 500,000+40,000+6,000+800+00+3 D 500,000+40,000+6,900+3 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page6.svg
Dec 13-3:02 AM 5 Which of the following is the expanded notation of 9,005,267? A 9,000,000+00,000+5,000+200+60+7 B 9,000,000+000,000+00,000+5,000+200+60+7 C 9,000,000+5,000+200+60+7 D 900,000+000,000+00,000+5,000+200+60+7 Multiple choice <persistencedata><PersistenceProperties id="CollapsedLocation"><x>510</x><y>25</y></PersistenceProperties></persistencedata>
page7.svg
page8.svg
page9.svg
page10.svg
page11.svg
SMART Notebook
Page 12: Oct 19 - 3:05 PM
Page 13: Jul 31 - 1:01 AM
Page 14: Jun 25-10:58 AM
Page 15: Target check
Attachments Page 1