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Mathematically, subtraction is considered one of the four arithmetic operations. In our daily life we can observe and see the use of subtraction in various situations. For example, daily we buy vegetables and fruits in a certain amount, say Rs. 175, and we gave a note of Rs. 200 to the seller.
So now the seller has to refund the excess amount using the subtraction process which will be 200 – 175 = 25. So the seller is liable to refund Rs.25. Similarly, number line subtraction worksheets help us visualize subtraction on small numbers.
Contents
What is subtraction on a number line?
Subtraction on a number line helps to subtract small numbers in an easy way or way. When subtracting numbers on a number line, it is necessary or mandatory to jump forward to the left side of the number line. According to this, we always start with the minuend and then move left to the corresponding number as the subtrahend.
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Minuend: A number to which another number is subtracted.
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Subtrahend: The number to be subtracted from the minuend.
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Difference: The final result after subtracting the subtrahend from the minuend.
For example:
Here we subtract 2 from 4 using a number line.
According to the formula, Difference = Minuend – Subtrahend.
Thus, 4 – 2 = 2.
Subtraction using a number line
Let’s take a detailed step-by-step process of subtraction using a number line.
Step 1: First, highlight Minuend (4) in the number line.
Step 2: Move forward to the left side of the number according to the number specified in the subtrahend. In this scenario, the subtrahend is 2, so we shift 2 units forward to the left. So we go to 2, which is the answer to our problem.
Another example of subtraction using a number line.
2-digit subtraction on the number line
Now we are going to learn 2-digit subtraction using an open number line followed by a certain set of rules. An open number string can be defined as an empty number string with no numbers 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 using the number line.
Subtraction using a 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 subtrahend (45), after counting we have 4 tens and 5 ones.
Step 3: Then move forward to the left according to the tens (long jumps) obtained in the previous step and mark the numbers at the same time after each move on the number line (68, 58, 48,………33). The last number we get will be the difference (33).
Finally we get the result,
78 – 45 = 33 using a number line for two-digit subtraction.
Solved examples
Below are some solved examples based on number line subtraction worksheets:
Q1. Perform subtraction on the number line for the given image: 19 – 15 = 4.
Answer: Let’s find the difference between 9 and 5 by subtracting the number line.
We begin by marking the number 19 in the number line. Then we move forward to the left by 4 units and reach 15.
Thus, we get the result 19 – 15 = 4.
Subtraction using a number line
Q2. Subtract 29 from 54 by subtracting two digits from the number line.
Answer: Let us draw an open number line as shown below and follow the steps of 2-digit subtraction on the number line.
Subtraction using a number line
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Consider the first number 54 and then mark it on the open number line.
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Here the second number is 29, which means it has 2 tens and 9 ones.
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Then take 54 as the starting point and move 2 tens (long jump) and 9 units (short jump) to the left, as shown in the figure.
Therefore, we get the result of 25 when solving 54 – 29.
Q3. What is the difference between the largest two-digit number and the number 20?
Answer: The largest two-digit number is 99.
The given number is 20.
So the difference is given by that
99 – 20 = 79.
Thus, the difference between the two numbers is 79.
Exercise questions
Number Line Subtraction Worksheets
Answer:
1. 4
2. 6
3. 1
4. 3
Summary
In this chapter, we discussed subtraction on a number line and the subtraction 2-digit subtraction number line worksheet. A number line is a graphical representation of numbers on a straight line. Numbers on a number line increase as one moves from left to right and decrease as one moves from right to left. A number line can perform various arithmetic operations such as addition, subtraction, multiplication and division. The 2-Digit Subtraction Number Line Worksheet helps assess children’s understanding.
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Source: Math Hello Kitty
Categories: Math
