2-Digit Numbers Subtraction using Expanded Form and Short Form - Grade 2 Math
2-Digit Numbers Subtraction using Expanded Form and Short Form
Here, we shall subtract 2-digit numbers from another 2-digit number using the expanded form and the short form. Let’s try to solve the following questions using either the expanded form or the short form.
A. 2-Digit Numbers Subtraction using Expanded Form
1. Subtract 48 from 73 using expanded form with regrouping.
Solution:
73 – 48
= (7 tens + 3 ones) – (4 tens + 8 ones) [Here, 3 ones < 8 ones]
= (6 tens + 13 ones) – (4 tens + 8 ones) [Regrouped 73]
= (6 tens – 4 tens) + (13 ones – 8 ones)
= 2 tens + 5 ones
= 25
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2. Subtract 57 from 84 using expanded form with regrouping.
Solution:
84 – 57
= (8 tens + 4 ones) – (5 tens + 7 ones) [Here, 4 ones < 7 ones]
= (7 tens + 14 ones) – (5 tens + 7 ones) [Regrouped 84]
= (7 tens – 5 tens) + (14 ones – 7 ones)
= 2 tens + 7 ones
= 27
3. Subtract 29 from 62 using expanded form with regrouping.
Solution:
62 – 29
= (6 tens + 2 ones) – (2 tens + 9 ones) [Here, 2 ones < 9 ones]
= (5 tens + 12 ones) – (2 tens + 9 ones) [Regrouped 62]
= (5 tens – 2 tens) + (12 ones – 9 ones)
= 3 tens + 3 ones
= 33
4. Subtract 45 from 87 using expanded form.
Solution:
87 – 45
= (8 tens + 7 ones) – (4 tens + 5 ones)
= (8 tens – 4 tens) + (7 ones – 5 ones)
= 4 tens + 2 ones
= 42
5. Subtract 51 from 97 using expanded form.
Solution:
97 – 51
= (9 tens + 7 ones) – (5 tens + 1 ones)
= (9 tens – 5 tens) + (7 ones – 1 ones)
= 4 tens + 6 ones
= 46
6. Subtract 12 from 95 using expanded form.
Solution:
95 – 12
= (9 tens + 5 ones) – (1 tens + 2 ones)
= (9 tens – 1 tens) + (5 ones – 2 ones)
= 8 tens + 3 ones
= 83
B. 2-Digit Numbers Subtraction using Short Form
1. Subtract 68 from 95 using short form.
Solution:
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O
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9
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5
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6
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8
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Here, 5 < 8
So, borrow 1 ten from 9 tens leaving behind 8 tens.
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T
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O
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8
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15
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6
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8
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Now, 15 – 8 = 7 and 8 – 6 = 2.
So, we get,
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T
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O
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8
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15
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6
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8
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2
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7
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Therefore, 98 – 68 = 27.
2. Subtract 29 from 46 using short form.
Solution:
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O
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4
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6
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2
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9
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Here, 6 < 9
So, borrow 1 ten from 4 tens leaving behind 3 tens.
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T
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O
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3
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16
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2
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9
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Now, 16 – 9 = 7 and 3 – 2 = 1.
So, we get,
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T
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O
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3
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16
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2
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9
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1
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7
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Therefore, 46 – 29 = 17.
3. Subtract 25 from 58 using short form.
Solution:
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5
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8
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2
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5
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Here, 8 < 5
Now, 8 – 5 = 3 and 5 – 2 = 3.
So, we get,
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T
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O
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5
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8
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2
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5
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3
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3
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Therefore, 58 – 25 = 33.
4. Subtract the following:
(i) 82 - 58 = _____
(ii) 66 - 29 = _____
(iii) 51 - 13 = _____
(iv) 95 - 77 = _____
(v) 79 - 39 = _____
(vi) 65 - 48 = _____
(vii) 92 - 79 = _____
(viii) 58 - 29 = _____
Answer:
(i) 24
(ii) 37
(iii) 38
(iv) 18
(v) 40
(vi) 17
(vii) 13
(viii) 29
5. Subtract the following:
(i) 70 − 25 = _____
(ii) 35 − 19 = _____
(iii) 85 − 78 = _____
(iv) 70 − 27 = _____
(v) 40 − 13 = _____
(vi) 63 − 46 = _____
(vii) 45 − 28 = _____
(viii) 88 − 59 = _____
(ix) 75 − 16 = _____
(x) 81 − 38 = _____
(xi) 33 − 17 = _____
(xii) 82 − 56 = _____
(xiii) 52 − 27 = _____
(xiv) 57 − 18 = _____
(xv) 64 − 35 = _____
(xvi) 80 − 51 = _____
Answer:
(i) 45
(ii) 16
(iii) 7
(iv) 43
(v) 27
(vi) 17
(vii) 17
(viii) 29
(ix) 59
(x) 43
(xi) 16
(xii) 26
(xiii) 25
(xiv) 39
(xv) 29
(xvi) 29
3. Word problems on 2-Digit Numbers Subtraction
(i) Our school library has 93 story books and 78 art books. How many less art books are there than story books?
Solution:
− 78
15
There are 15 fewer art books than story books.
(ii) Liam is reading a story book which has 98 pages. He has read 49 pages. How many pages has he left to read?
Solution:
− 49
49
Liam has 49 pages left to read.
(iii) There were 65 math books in a book shop. During the day 38 of them were sold. How many math books are still in the shop?
Solution:
− 38
27
There are 27 math books still in the shop.
(iv) A class room has 58 seats. We are 41 students. How many seats remained vacant?
Solution:
− 41
17
17 seats remained vacant.
(v) Out of 95 students in class two, 36 are boys. How many girls are in our class?
Solution:
− 36
59
There are 59 girls in the class.
(vi) A farmer had 72 pineapples. Out of them, 64 were sold. How many pineapples were left unsold?
Solution:
− 64
8
8 pineapples were left unsold.
Also: