Practice the questions given in the worksheet on number in expanded form. Expanded form of a number is to break down each digit and write the number to show how each digit in the number represents different values.
We can learn expanded form of a number in the following ways:
(i) if we write the number in words.
(ii) if we arrange the digits in a place value.
1. Name the hundreds, tens and ones for each number in both ways:
For example:
145 = 1 hundreds + 4 tens + 5 ones
= 100 + 40 + 5
(i) 256
(ii) 327
(iii) 473
(iv) 789
(v) 847
2. Four ways of showing hundreds, tens and ones. Complete
the table with the help of the first row.
For example:
The abacus |
Columns |
Expanded form |
Standard form |
H 1 |
T 3 |
O 1 |
100 + 30 + 1 |
131 | |
H ..... |
T ..... |
O ..... |
................ |
........ | |
H ..... |
T ..... |
O ..... |
................ |
........ | |
H ..... |
T ..... |
O ..... |
................ |
........ | |
H ..... |
T ..... |
O ..... |
................ |
........ | |
H ..... |
T ..... |
O ..... |
................ |
........ |
3. Write the number in standard form:
(i) 200 + 30 + 1
(ii) 900 + 10 + 7
(iii) 500 + 40 + 9
(iv) 800 + 20 + 6
(v) 400 + 70 + 3
(vi) 700 + 30 + 3
(vii) 300 + 0 + 4
(viii) 200 + 30 + 0
4. Write in expanded form:
(i) 365
(ii) 248
(iii) 827
(iv) 980
(v) 405
(vi) 319
Answers for worksheet on number in expanded form are given below to check the above questions.
Answers:
1. (i) 256 = 2 hundreds + 5 tens + 6 ones
= 200 + 50 + 6
(ii) 327 = 3 hundreds + 2 tens + 7 ones
= 300 + 20 + 7
(iii) 473 = 4 hundreds + 7 tens + 3 ones
= 400 + 70 + 3
(iv) 789 = 7 hundreds + 8 tens + 9 ones
= 700 + 80 + 9
(v) 847 = 8 hundreds + 4 tens + 7 ones
= 800 + 40 + 7
2.
The abacus |
Columns |
Expanded form |
Standard form |
H 3 |
T 2 |
O 5 |
300 + 20 + 5 |
325 | |
H 6 |
T 1 |
O 2 |
600 + 10 + 2 |
612 | |
H 2 |
T 3 |
O 6 |
200 + 30 + 6 |
236 | |
H 4 |
T 5 |
O 6 |
400 + 50 + 6 |
456 | |
H 6 |
T 6 |
O 1 |
600 + 60 + 1 |
661 |
3. (i) 231
(ii) 917
(iii) 549
(iv) 826
(v) 473
(vi) 733
(vii) 304
(viii) 230
4. (i) 300 + 60 + 5
(ii) 200 + 40 + 8
(iii) 800 + 20 + 7
(iv) 900 + 80 + 0
(v) 400 + 0 + 5
(vi) 300 + 10 + 9
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