Expanded Notation Practice Worksheet for Math Students.

Let's solve this step by step. The worksheet has two parts:

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Part 1: Write each number in expanded notation

Expanded notation means breaking down a number into the sum of each digit multiplied by its place value.

#### Examples:
- 5,918 = (5 × 1000) + (9 × 100) + (1 × 10) + (8 × 1)

We'll apply this to each number.

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1) 5,918
= (5 × 1000) + (9 × 100) + (1 × 10) + (8 × 1)

2) 4,596
= (4 × 1000) + (5 × 100) + (9 × 10) + (6 × 1)

3) 1,049
= (1 × 1000) + (0 × 100) + (4 × 10) + (9 × 1)

4) 4,889
= (4 × 1000) + (8 × 100) + (8 × 10) + (9 × 1)

5) 1,936
= (1 × 1000) + (9 × 100) + (3 × 10) + (6 × 1)

6) 9,088
= (9 × 1000) + (0 × 100) + (8 × 10) + (8 × 1)

7) 8,177
= (8 × 1000) + (1 × 100) + (7 × 10) + (7 × 1)

8) 6,844
= (6 × 1000) + (8 × 100) + (4 × 10) + (4 × 1)

9) 9,262
= (9 × 1000) + (2 × 100) + (6 × 10) + (2 × 1)

10) 8,929
= (8 × 1000) + (9 × 100) + (2 × 10) + (9 × 1)

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Part 2: Write Each Number in Standard Form

Now we reverse the process — take the expanded form and add up the values.

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11) (2 × 1000) + (4 × 100) + (5 × 10) + (1 × 1)
= 2000 + 400 + 50 + 1 = 2,451

12) (6 × 1000) + (3 × 100) + (8 × 10) + (4 × 1)
= 6000 + 300 + 80 + 4 = 6,384

13) (6 × 1000) + (9 × 100) + (5 × 10) + (7 × 1)
= 6000 + 900 + 50 + 7 = 6,957

14) (9 × 1000) + (7 × 100) + (0 × 10) + (0 × 1)
= 9000 + 700 + 0 + 0 = 9,700

15) (4 × 1000) + (6 × 100) + (6 × 10) + (0 × 1)
= 4000 + 600 + 60 + 0 = 4,660

16) (3 × 1000) + (3 × 100) + (1 × 10) + (4 × 1)
= 3000 + 300 + 10 + 4 = 3,314

17) (5 × 1000) + (5 × 100) + (5 × 10) + (3 × 1)
= 5000 + 500 + 50 + 3 = 5,553

18) (1 × 1000) + (3 × 100) + (4 × 10) + (4 × 1)
= 1000 + 300 + 40 + 4 = 1,344

19) (7 × 1000) + (4 × 100) + (1 × 10) + (0 × 1)
= 7000 + 400 + 10 + 0 = 7,410

20) (2 × 1000) + (3 × 100) + (9 × 10) + (4 × 1)
= 2000 + 300 + 90 + 4 = 2,394

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✔ Final Answers:

#### Part 1 – Expanded Notation:
1) (5 × 1000) + (9 × 100) + (1 × 10) + (8 × 1)
2) (4 × 1000) + (5 × 100) + (9 × 10) + (6 × 1)
3) (1 × 1000) + (0 × 100) + (4 × 10) + (9 × 1)
4) (4 × 1000) + (8 × 100) + (8 × 10) + (9 × 1)
5) (1 × 1000) + (9 × 100) + (3 × 10) + (6 × 1)
6) (9 × 1000) + (0 × 100) + (8 × 10) + (8 × 1)
7) (8 × 1000) + (1 × 100) + (7 × 10) + (7 × 1)
8) (6 × 1000) + (8 × 100) + (4 × 10) + (4 × 1)
9) (9 × 1000) + (2 × 100) + (6 × 10) + (2 × 1)
10) (8 × 1000) + (9 × 100) + (2 × 10) + (9 × 1)

#### Part 2 – Standard Form:
11) 2,451
12) 6,384
13) 6,957
14) 9,700
15) 4,660
16) 3,314
17) 5,553
18) 1,344
19) 7,410
20) 2,394

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