How to Solve Two Digit Subtraction Using a Number Line with Step by Step Examples
Mathematically, subtraction is considered one of the four arithmetic operations. In our day-to-day life, we can observe and see the applications of subtractions in different situations. For example, every day, we purchase vegetables and fruits for a certain amount, say Rs. 175, and we have given a note of Rs. 200 to the vendor.
So, now the vendor has to return the excess amount by applying the process of subtraction which will be 200 - 175 = 25. Therefore, the vendor is obligated to return Rs 25. Similarly, number line subtraction worksheets help us to perform the subtraction operation on small numbers visually.
What is Subtraction on the Number Line?
Subtraction on the number line helps to subtract the smaller numbers in an easy manner or way. While subtracting numbers on a number line, it is necessary or compulsory to jump forward towards the left-hand side of a number line. Under this, we always begin with the minuend and then we move left towards the number accordingly given as the subtrahend.
Minuend: The number from which the other number is subtracted.
Subtrahend: The number which is to be subtracted from the minuend.
Difference: The final result after subtracting the subtrahend from the minuend.
For example:
Here we are subtracting 2 from 4 using a number line.
According to the formula, Difference = Minuend - Subtrahend.
Thus, 4 - 2 = 2.
Subtraction using the number line
Let us take a detailed stepwise process of subtraction using the number line.
Step 1: Firstly, mark the Minuend (4) on the number line.
Step 2: Move forward towards the left-hand side of the number according to the number provided in the subtrahend. In this scenario, the subtrahend is 2, so we will move 2 units forward to the left. Hence, we land on 2, which is the answer to our problem.
Another example of subtraction using the number line.
2-Digit Subtraction on a Number Line
Now, we are going to understand 2-digit subtraction by using an open number line which is followed by a certain set of rules. An open number line can be defined as an empty number line with no number marked on it.
For example: Subtract 45 from 78 using a number line.
As we know, 78 - 45 = 33. Now, we are going to solve this by using a number line.
Subtraction using the number line
Step 1: First, mark the minuend (78) on the open number as shown in the figure mentioned above.
Step 2: Now, count the number of tens and ones in the subtrahend (45), after counting we have 4 tens and 5 ones.
Step 3: Then, move forward towards the left according to the number of tens (taking longer jumps) which is obtained in the previous step and mark the numbers simultaneously after every move (68, 58, 48,........33) on the number line. The last number we arrive at will be the difference (33).
Lastly, we get the result,
78 - 45 = 33 by using a number line for 2-digit subtraction.
Solved Examples
Below given are some solved examples based on the number line subtraction worksheets:
Q1. Perform the subtraction on the number line for the given expression: 19 - 15 = 4.
Ans: Let us determine the difference between 9 and 5 by subtracting the number line.
We start by marking the number 19 on the number line. Then we move forward towards the left by 4 units, and we reach 15.
Therefore, we get the result 19 - 15 = 4.
Subtraction using the number line
Q2. Subtract 29 from 54 using 2-digit subtraction on a number line.
Ans: Let us draw an open number line as shown below and follow the steps of 2-digit subtraction on the number line.
Subtraction using the number line
Consider the first number 54 and then mark it on the open number line.
Here, the second number is 29, which means it has 2 tens and 9 ones.
Then take 54 as the starting point, and we will be moving 2 tens (longer jumps) and 9 ones (shorter jumps) towards the left, which is shown in the figure.
Therefore, we get the result of 25 on solving 54 - 29.
Q3. What is the difference between the largest 2-digit number and the number 20?
Ans: The largest 2-digit number is 99.
The given number is 20.
So, the difference is given by,
99 - 20 = 79.
Thus, the difference between the two numbers is 79.
Practice Questions
Number line subtraction worksheets
Answer:
1. 4
2. 6
3. 1
4. 3
Summary
In this chapter, we have dealt with subtraction on the number line and the 2-digit subtraction number line worksheet. A number line is the pictorial representation of numbers on a straight line. The numbers on the number line increase as one move from left to right and decrease on moving from right to left. A number line can perform different arithmetic operations such as addition, subtraction, multiplication and division. The 2-digit subtraction number line worksheet helps evaluate the children's understanding.
FAQs on 2 Digit Subtraction on a Number Line Worksheet
1. What is a 2 digit subtraction number line worksheet?
A 2 digit subtraction number line worksheet is a practice sheet that helps students subtract two-digit numbers using a visual number line model. It teaches learners how to count backwards or make jumps to find the difference between numbers.
- Students start at the larger number.
- They make backward jumps in tens and ones.
- The final landing point shows the difference.
2. How do you subtract 2 digit numbers using a number line?
To subtract 2 digit numbers using a number line, start at the larger number and jump backwards in tens and ones until you subtract the smaller number. Follow these steps:
- Write the subtraction problem, e.g., 54 − 23.
- Start at 54 on the number line.
- Jump back 20 (two tens) to reach 34.
- Jump back 3 (three ones) to reach 31.
3. Why is a number line useful for 2 digit subtraction?
A number line is useful for 2 digit subtraction because it provides a clear visual model of counting backwards and understanding place value. It helps students:
- Break numbers into tens and ones.
- See the size of jumps clearly.
- Avoid common regrouping mistakes.
4. Can you give an example of 2 digit subtraction on a number line?
Yes, for example, 67 − 25 can be solved by making backward jumps on a number line. Here’s how:
- Start at 67.
- Jump back 20 to reach 47.
- Jump back 5 to reach 42.
5. How do you subtract 2 digit numbers with regrouping using a number line?
To subtract 2 digit numbers with regrouping on a number line, break the smaller number into tens and ones and subtract in parts. For example, 52 − 38:
- Start at 52.
- Jump back 30 to reach 22.
- Jump back 8 to reach 14.
6. What is the difference between column subtraction and number line subtraction?
The main difference is that column subtraction uses vertical place value alignment, while number line subtraction uses visual backward jumps. Key differences include:
- Column method focuses on regrouping (borrowing).
- Number line method focuses on counting back in tens and ones.
- Number lines build stronger visual number sense.
7. What are the steps for teaching 2 digit subtraction on a number line?
The steps for teaching 2 digit subtraction on a number line involve breaking numbers into tens and ones and modeling backward jumps clearly. Follow these steps:
- Identify the larger number and place it on the number line.
- Decompose the smaller number into tens and ones.
- Subtract tens first, then ones.
- Mark the final position as the difference.
8. How do you use an open number line for 2 digit subtraction?
An open number line is used by drawing your own jumps instead of using pre-marked numbers. To solve 73 − 46:
- Write 73 at the right end.
- Jump back 40 to reach 33.
- Jump back 6 to reach 27.
9. What are common mistakes in 2 digit subtraction on a number line?
Common mistakes in 2 digit subtraction on a number line include incorrect jumps and subtracting in the wrong direction. Students often:
- Jump forward instead of backward.
- Forget to break numbers into tens and ones.
- Miscount the number of units jumped.
10. How does a 2 digit subtraction number line worksheet help build mental maths skills?
A 2 digit subtraction number line worksheet improves mental maths by teaching students to break numbers into manageable parts. It helps learners:
- Subtract in tens and ones mentally.
- Estimate answers before solving.
- Develop strong place value understanding.
