Solve Subtraction Problems with Missing Digits
Subtraction is an arithmetic operation that involves finding the difference between two numbers. However, when referring to subtraction on a missing number, it implies that one of the numbers involved in the subtraction is unknown or not given.
In this scenario, if you have a subtraction expression with a missing number, you can use algebraic techniques to solve for the unknown value. The objective is to determine the value that, when subtracted from a known number, yields the given result.
For example, 5 - 3 = 2, where 5 is the first number (the minuend), 3 is the second number (the subtrahend), and 2 is the result (the difference).
Examples of Subtraction Problems with Missing Digits
Problem 1: ____ - 8 = 36
Solution: To solve the equation "? - 8 = 36," we need to isolate the unknown value on one side of the equation.
To do this, we can add 8 to both sides of the equation to eliminate the -8 on the left side:? - 8 + 8 = 36 + 8
This simplifies to:? = 44
Therefore, the missing number in this equation is 44.
Problem 2: Find the missing numbers.
Solution: Let's fill in the missing digit, we can start by trying to subtract
7 – 3 = 4
9 – 1 = 8
Now 8 can’t be subtracted by 5 so we’ll borrow 1 from the previous number. Hence, 15 – 8 = 7
Since we have borrowed from the previous number so we need to add 1 on 5.
3 + 2 + 1 = 6
Therefore, the required solution is:
Problem 3: ____ - 7 = 22 + 13
Solution: To solve the equation "? - 7 = 22 + 13," we need to isolate the unknown value on one side of the equation.
To do this, we can add 7 to both sides of the equation to eliminate the -7 on the left side:
? - 7 + 7 = 22 + 13 + 7
This simplifies to:? = 42
Therefore, the missing number in this equation is 42.
Problem 4: Find ? by the correct digits.
Solution: Let's fill in the missing digit, we can start by trying to subtract 2 – 3 which can’t be solved so we’ll borrow 1 from 5.
Now, 12 – 3 = 9
After taking borrow 5 becomes 4 so,
4 – 0 = 4
8 – 1 = 7
6 - 5 = 1
Therefore, the required solution is:
Problem 5: ___ - 58 = 17
Solution: To solve the equation "? - 58 = 17," we need to isolate the unknown value on one side of the equation.
To do this, we can add 58 from both sides of the equation to eliminate the -58 on the left side:
? - 58 + 58 = 17 + 58
This simplifies to:
? = 75
Therefore, the missing number in this equation is 75.
Practice Questions on Problems with Missing Digits
1. What are the values of A, B and C?
a) A = 7, B = 6 and C = 5
b) A = 8, B = 3 and C = 0
c) A = 9, B = 6 and C = 0
d) A = 5, B = 2 and C = 6
Answer: c) A = 9, B = 6 and C = 0
2. Solve: ___ - 42 = 32
a) 74
b) 76
c) 76
d) 78
Answer: a) 74
3. Solve: 55 - ___ = 17
a) 38
b) 40
c) 42
d) 44
Answer: a) 38
4. What are the values of A, B and C in the following question?
a) A = 8, B = 3 and C = 0
b) A = 7, B = 5 and C = 8
c) A = 6, B = 3 and C = 2
d) A = 5, B = 9 and C = 1
Answer: d) A = 5, B = 9 and C = 1
5. What are the values of A, B, C and D in the following question?
a) A = 3, B = 6, C = 5 and D = 2
b) A = 4, B = 5, C = 0 and D = 3
c) A = 5, B = 3, C = 4 and D = 1
d) A = 6, B = 9, C = 2 and D = 4
Answer: a) A = 3, B = 6, C = 5 and D = 2
6. Find the missing term.
a) 3
b) 2
c) 1
d) 0
Answer: d) 0
7. What is the value of 589 – 321 = ___ + 102?
a) 142
b) 166
c) 236
d) 246
Answer: b) 166
8. What is the value of 145 - ___ = 85?
a) 40
b) 50
c) 60
d) 70
Answer: c) 60
9. What is the value of missing place __ - 235 = 147 + 265?
a) 647
b) 583
c) 486
d) 358
Answer: a) 647
10. What is the value of missing place 719 - ___ = 315 - 107?
a) 251
b) 451
c) 511
d) 642
Answer: c) 511
