Write the missing digits in the following sums:
Answers
Step-by-step explanation:
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Answer:
(a) 4 1 7 8 7
1 7 4 3 2
+ 2 5 3 8 9
8 4 6 0 8
(b) 8 2 4 5 3
- 6 7 6 7 8
1 4 7 7 5
Step-by-step explanation:
To find:- The missing numbers in the addition and subtraction.
Solution:-
(a) 4 1 ? 8 7
1 ? 4 3 2
+ 2 5 3 ? 9
? 4 6 0 ?
We will start calculating from the right hand side.
7 + 2 + 9
= 9 + 9 = 18
So, we will place 8 and carry 1.
8 + 3 + ? + 1(carry) = 0
⇒ 12 + ? = 0
⇒ ? = 0 - 12 (But the ? cannot be negative ∴ 0 must be 20)
⇒ ? = 20 - 12 = 8
So, we will place 8 there with carry 2.
? + 4 + 3 + 2(carry) = 6
⇒ ? + 9 = 6
⇒ ? = 6 - 9 (Again ? cannot be negative. ∴ 6 must mean 16.)
⇒ ? = 16 - 9 = 7
So, placing 7 in place of ? with a carry of 1.
1 + ? + 5 + 1(carry) = 4
⇒ ? + 7 = 4
⇒ ? = 4 - 7
⇒ ? = 14 - 7
⇒ ? = 7
We will 7 in place of ? with a carry of 1.
4 + 1 + 2 + 1(carry) = ?
⇒ ? = 8.
Therefore, the addition becomes 4 1 7 8 7
1 7 4 3 2
+ 2 5 3 8 9
8 4 6 0 8
(b) 8 ? 4 5 ?
- 6 7 ? ? 8
? 4 7 7 5
Again, we will start calculating from right hand side.
? - 8 = 5
⇒ ? = 5 + 8
⇒ ? = 13
Since, it can only be a single digit so, ? = 3 with a borrow 1.
5 - ? - 1(borrow) = 7
⇒ 4 - ? = 7
⇒ ? = 7 (since we know that 14 - 7 = 7)
So, ? = 7 with a borrow of 1.
4 - ? - 1 = 7
⇒ 3 - ? = 7
⇒ ? = 6 (As we know 13 - 6 = 7 with a borrow of 1.)
? - 7 - 1(borrow) = 4
⇒ ? = 4 + 8
⇒ ? = 12
So, placing 2 at the place of ? with a borrow of 1.
8 - 6 - 1(borrow) = ?
⇒ ? = 8 - 7
⇒ ? = 1
Therefore, the subtraction becomes 8 2 4 5 3
- 6 7 6 7 8
1 4 7 7 5
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