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Grade 5 - Mathematics
1.28 Expanded Notation

Standard Form Expanded Form
478 400 + 70 + 8

4 x 100 + 7 x 10 + 8 x 1

4 x 102 + 7 x 101 + 8 x 100
4 x 102 + 7 x 10 + 8 x 1

Method:
  1. Read the place value of each digit of the number
  2. Write the corresponding value
Example 1:
Consider a 4-digit number, 2173
Read the place value of each digit as 3, 70, 100 and 2000

Example 2: Number with zero as digits

Example 3: 5-digit number


Directions: Choose the expanded notation of each of the following numbers. Also write at least five examples of your own.
Q 1: 2,192 =
2+1+9+2
2,000 + 19 + 2
2,000 + 100 + 90 + 2
2,000 + 1,000 + 90 + 2

Q 2: 10,000 + 4,000 + 600 + 70 + 1 =
16,471
14,671
16,417

Q 3: 20,000 + 4,000 + 500 + 6 =
24,560
25,406
24,506

Q 4: 7,000,000 + 7,000 + 7 =
7,000,007
7,707,007
7,007,007

Q 5: 978,387 =
900,000 + 70,000 + 830 + 80 + 7
9+7+8+3+8+7
900,000 + 7,000 + 8,000 + 300 + 80 + 7
900,000 + 70,000 + 8,000 + 300 + 80 + 7

Q 6: 50,004 =
50,000 + 4
50,000 + 400
50,000 + 4000
5+0+0+0+4

Q 7: 500 + 20 + 3 =
523
253
325

Q 8: 80,000 + 4,000 + 200 + 7 =
84,207
84,027
8,407

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Question 10: This question is available to subscribers only!


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