Expanded Notation - MathCoach Interactive

NS 1.1
UNDERLYING SKILLS AND CONCEPTS:
Read and write whole numbers in the millions.
place value;
addition basic facts;
expanded notation
Expanded Notation
a
K
ey Ide
Thousands Hundreds
Tens
Ones
,
8
6
3
4
To write a number in expanded notation, multiply each digit by its place
value.
3,486 (3 1,000) (4 100) (8 10) (6 1)
3,000 400 80 6
E x am p l E
1
7,024,892 (7 1,000,000) (2 10,000) (4 1,000) (8 100) (9 10) (2 1)
7,000,000 20,000 4,000 800
90 2
E x am p l E
2
Write 80,000 6,000 500 4 in standard form.
80,000 6,000 500 4 86,504
E x am p l E
3
Write three hundred thousand, seven hundred fifty in expanded form and in
standard form.
three hundred thousand, seven hundred fifty
300,000 700 50
300,750
page 8
Chapter 1 – Lesson 4
D – © CSL Associates, Inc. All rights reserved.
Write 7,024,892 in expanded notation.
Name
P RAC T I C E
Write each number in expanded notation.
1. 675
2. 3,565
600 70 5
3. 7,290
3,000 500 60 5
4. 42,980
7,000 200 90
5. 78,034
40,000 2,000 900 80
6. 378,002
70,000 8,000 30 4
300,000 70,000 8,000 2
Write each number in standard form.
7. (6 100) (5 1)
605
8. 700 20 3
723
9. 8,000 700 20 4
D – © CSL Associates, Inc. All rights reserved.
10. (3 1,000) (4 100) (8 1)
8,724
3,408
Write each number in expanded form and in standard form.
11. Thirty thousand, seven hundred eighty
30,000 700 80; 30,780
12. Seventeen thousand, eighteen
10,000 7,000 10 8; 17,018
13. Sixty-three thousand, nine hundred four
60,000 3,000 900 4; 63,904
Math
Reasoning
Expanded Notation
MR 3.3
14. Why is zero important when you write numbers? Use an example to explain
your thinking.
Because without a zero, 35 would be the same as 350.
Chapter 1 – Lesson 4
page 9
MCX94.HW.CL.G4.FM&Lesson.v211
8/2/04
19:16
Page 8
Name
…at home!
P RAC T I C E
Write each number in expanded notation.
1. 569
2. 7,864
500 60 9
7,000 800 60 4
3. 9,270
4. 31,630
9,000 200 70
30,000 1,000 600 30
5. 88,504
6. 446,025
80,000 8,000 500 4
400,00040,0006,000205
Write each number in standard form.
7. (3 100) (8 1)
308
8. 500 60 2
562
9. 7,000 500 10 4
7,514
4,305
D – © CSL Associates, Inc. All rights reserved.
10. (4 1,000) (3 100) (5 1)
Write each number in expanded form and in standard form.
11. Seventy thousand, four hundred twenty-nine
70,000 400 20 9; 70,429
12. Fifteen thousand, twenty
10,000 5,000 20 ; 15,020
13. Ninety-three thousand, four hundred four
90,000 3,000 400 4; 93,404
Math
Reasoning
Expanded Notation
MR 3.3
14. What does the zero in 40,352 mean? What does the zero in 4,035 mean?
0 in 40,352 means no 1,000s; 0 in 4,035 means no 100s.
page 8
Home Resource and Homework
Chapter 1 Lesson 4
MCX94TEG4Ch01_32.v8.5.2 2/26/01 18:58 Page 19
Name
P RAC T I C E
Write each number in expanded notation.
1. 675
2. 3,565
600 70 5
3,000 500 60 5
3. 7,290
4. 42,980
7,000 200 90
40,000 2,000 900 80
5. 78,034
6. 378,002
70,000 8,000 30 4
300,000 70,000 8,000 2
Write each number in standard form.
7. (6 100) (5 1)
605
8. 700 20 3
723
9. 8,000 700 20 4
8,724
D – © CSL Associates, Inc. All rights reserved.
10. (3 1,000) (4 100) (8 1)
3,408
Write each number in expanded form and in standard form.
11. Thirty thousand, seven hundred eighty
30,000 700 80; 30,780
12. Seventeen thousand, eighteen
10,000 7,000 10 8; 17,018
13. Sixty-three thousand, nine hundred four
60,000 3,000 900 4; 63,904
Math
Reasoning
Expanded Notation
MR 3.3
14. Why is zero important when you write numbers? Use an example to explain
your thinking.
Because without a zero, 35 would be the same as 350.
Chapter 1 – Lesson 4
Student Book Page
page 9
Name
…at home!
P RAC T I C E
Write each number in expanded notation.
1. 569
2. 7,864
500 60 9
7,000 800 60 4
3. 9,270
4. 31,630
9,000 200 70
30,000 1,000 600 30
5. 88,504
6. 446,025
80,000 8,000 500 4
400,00040,0006,000205
Write each number in standard form.
7. (3 100) (8 1)
308
8. 500 60 2
562
9. 7,000 500 10 4
7,514
4,305
D – © CSL Associates, Inc. All rights reserved.
10. (4 1,000) (3 100) (5 1)
Write each number in expanded form and in standard form.
11. Seventy thousand, four hundred twenty-nine
70,000 400 20 9; 70,429
12. Fifteen thousand, twenty
10,000 5,000 20 ; 15,020
13. Ninety-three thousand, four hundred four
90,000 3,000 400 4; 93,404
Math
Reasoning
Expanded Notation
MR 3.3
14. What does the zero in 40,352 mean? What does the zero in 4,035 mean?
0 in 40,352 means no 1,000s; 0 in 4,035 means no 100s.
page 8
Home Resource and Homework
Chapter 1 Lesson 4