How to Solve Missing Number Subtraction Problems with Step by Step Examples
What is subtraction?? Where did it originate? Subtraction is an operation used to find the difference between numbers. If you have a group of objects and want to remove some objects from them, the group will become smaller. The basic concept of finding missing numbers in single-digit subtraction sums is discussed underneath. They provide support and ideas for the basic facts of subtraction and help you understand the relationship between subtraction and addition. When solving subtraction problems, children complete the missing numbers to find the correct calculation. In this article, we are going to learn how we can fill in the missing numbers subtraction worksheets.
Missing Number Subtraction Terms
The terms that are used in the subtraction expression are as follows:
Minuend: The number which subtracts another number
Subtrahend: The number which is to be subtracted from the minuend
Difference: The result after subtracting the second number from the first number
The subtraction formula is Minuend - Subtrahend = Difference
Three Cases of Missing Number Subtraction
Case 1: If the missing number is the difference then subtract the subtrahend from the minuend. For example:
10 - 3 = __ (Here the blank mark represents the missing number). Now, subtract 3 from the number 10 and note the answer as 7. So the missing number is 7.
The Equation in Which the Difference is Missing
Case 2: If the missing number is the subtrahend then subtract the difference from the minuend. For example:
10 - __ = 7 (Here the blank mark represents the missing number). Now, we will subtract 7 from 10 and obtain the result as 3. Thus, the missing number is 3.
The Equation in Which the Subtrahend is Missing
Case 3: If the missing number is the minuend then add the subtrahend and the difference. For example:
__ - 3 = 7 (Here the blank mark represents the missing number). We wish to add 3 with 7 and get the result as 10. Now, after adding 7 with 3, the missing number is obtained as 10.
The Equation in Which Minuend is Missing
Solved Examples of Fill in the Missing Number Subtraction
Fill in the missing number subtraction in the following:
Q 1. 7 - 2 = __
Ans. 7 - 2 = __ (Here Blank Mark represents the missing number)
Now, subtract the 2 from the 7 and note the answer as 5. So, the missing number is 5.
Q 2. 8 - 2 = __
Ans. 8 - 2 = __ (Here Blank Mark represents the missing number)
Now, subtract the 2 from the 8 and note the answer as 6. So, the missing number is 6.
Q 3. 4 - _ = 2
Ans. 4 - _ = 2 (Here Blank Mark represents the missing number)
Now, subtract the 2 from the 4 and note the answer as 2. So, the missing number is 2.
Q 4. 7 - _ = 1
Ans. 7 - _ = 1 (Here Blank Mark represents the missing number)
Now, subtract the 1 from the 7 and note the answer as 6. So, the missing number is 6.
Practice Problems
Some practice problems based on the concept of fill-in-the-missing number subtraction are given below:
Q 1. 9 –? = 4
Ans. 5
Q 2. ? – 2 = 5
Ans. 7
Q 3. 6 - ? = 5
Ans. 1
Q 4. ? – 7 = 1
Ans. 8
Missing Number Subtraction Worksheets
Here is a missing subtraction worksheet for subtraction are given below:
Missing Number Subtraction Worksheet
Summary
In this article, we have learned about subtraction and learned about the term minuend, subtrahend, and the difference. We also saw steps on how to solve missing number subtraction worksheets, and the kinds of missing problems, i.e. when the difference is missing we subtract the minuend from the subtrahend, and when the subtrahend is missing and the difference is given, subtract the difference from the minuend to get the subtrahend. Finally, when the minuend is missing, we add the subtrahend with the difference. Fill in the missing number subtraction worksheets, which are provided along with practice problems.
FAQs on Missing Number Subtraction Worksheets for Finding the Unknown Number
1. What are missing number subtraction worksheets?
Missing number subtraction worksheets are practice sheets where one number in a subtraction equation is replaced with a blank, and students must find the unknown value. These worksheets usually include equations such as 15 − ___ = 9 or ___ − 4 = 7. They help learners:
- Understand the relationship between subtraction and addition
- Build problem-solving and reasoning skills
- Strengthen mental maths and number sense
2. How do you solve a missing number subtraction problem?
To solve a missing number subtraction problem, use the inverse operation of subtraction, which is addition. Follow these steps:
- If the equation is a − x = b, then find x by calculating x = a − b.
- If the equation is x − a = b, then find x by calculating x = a + b.
3. What is the formula for finding a missing number in subtraction?
The formula for finding a missing number in subtraction depends on its position in the equation. The key formulas are:
- If a − x = b, then x = a − b.
- If x − a = b, then x = a + b.
4. Why is addition used to solve missing number subtraction questions?
Addition is used to solve missing number subtraction questions because subtraction and addition are inverse operations. For example, if x − 6 = 10, you add 6 + 10 = 16 to find that x = 16. This works because adding back the subtracted number restores the original value.
5. Can you give an example of a missing number subtraction problem with a solution?
Yes, a simple example of a missing number subtraction problem is 18 − ___ = 11. To solve it:
- Subtract the known difference from the minuend: 18 − 11 = 7
- The missing number is 7
6. What is the difference between a missing minuend and a missing subtrahend?
The difference is that a missing minuend is the starting number, while a missing subtrahend is the number being subtracted. In subtraction:
- Minuend − Subtrahend = Difference
- If the minuend is missing (e.g., x − 5 = 9), find it using x = 5 + 9.
- If the subtrahend is missing (e.g., 14 − x = 6), find it using x = 14 − 6.
7. How do missing number subtraction worksheets help students?
Missing number subtraction worksheets help students develop number sense and logical thinking by requiring them to find unknown values. They:
- Reinforce understanding of subtraction facts
- Strengthen knowledge of inverse operations
- Prepare learners for basic algebra concepts
8. What are common mistakes in missing number subtraction problems?
A common mistake in missing number subtraction problems is using the wrong operation to find the unknown value. Typical errors include:
- Adding when subtraction is required, or vice versa
- Ignoring the position of the missing number
- Not checking the answer by substituting it back into the equation
9. How do you check the answer in a missing number subtraction equation?
To check a missing number subtraction answer, substitute the found value back into the original equation and verify the result. For example, if 20 − ___ = 8 and you found 12, check: 20 − 12 = 8. If the equation is true, your answer is correct.
10. Are missing number subtraction worksheets suitable for early algebra learning?
Yes, missing number subtraction worksheets are suitable for early algebra learning because they introduce the concept of solving for an unknown. Problems like x − 3 = 5 teach students to find x = 8 using inverse operations. This builds a foundation for solving simple algebraic equations in later grades.
