Here we will learn subtraction of 3-digit numbers using expanded form.
Express each number in expanded form, then subtract the ones, tens and hundred place.
Let's try to solve the following example:
1. Subtract 356 from 768.
Solution:
First we need to express the number 356 and 768 in expanded form.
Expanded form of 356
356 = 3 hundreds + 5 tens + 6 ones
and
Expanded form of 768
768 = 7 hundreds + 6 tens + 8 ones
Now we subtract the expanded form:
768 = 7 hundreds + 6 tens + 8 ones
- 356 = - 3 hundreds + 5 tens + 6 ones
Difference = 4 hundreds + 1 ten + 2 ones = 412
Therefore, 768 - 356 = 412
2. Subtract 324 from 965.
Solution:
First we need to express the number 324 and 965 in expanded form.
Expanded form of 324
324 = 3 hundreds + 2 tens + 4 ones
and
Expanded form of 965
965 = 9 hundreds + 6 tens + 5 ones
Now we subtract the expanded form:
965 = 9 hundreds + 6 tens + 5 ones
- 324 = - 3 hundreds + 2 tens + 4 ones
Difference = 6 hundreds + 4 tens + 1 ones = 641
Therefore, 965 - 324 = 641
3. Subtract 210 from 649.
Solution:
First we need to express the number 210 and 649 in expanded form.
Expanded form of 210
210 = 2 hundreds + 1 ten + 0 ones
and
Expanded form of 649
649 = 6 hundreds + 4 tens + 9 ones
Now we subtract the expanded form:
649 = 6 hundreds + 4 tens + 9 ones
- 210 = - 2 hundreds + 1 ten + 0 ones
Difference = 4 hundreds + 3 tens + 9 ones = 439
Therefore, 649 - 210 = 439
4. Subtract 465 from 798.
Solution:
First we need to express the number 465 and 798 in expanded form.
Expanded form of 465
465 = 4 hundreds + 6 tens + 5 ones
and
Expanded form of 798
798 = 7 hundreds + 9 tens + 8 ones
Now we subtract the expanded form:
798 = 7 hundreds + 9 tens + 8 ones
- 465 = - 4 hundreds + 6 tens + 5 ones
Difference = 3 hundreds + 3 tens + 3 ones = 333
Therefore, 798 - 465 = 333
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