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Subtraction Questions and Answers

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11 Plus Maths: How to Subtract?

1. Introduction:

When we subtract two numbers, the greater number from which we subtract another number is called a minuend.

The smaller number which we subtract from the greater number is called a subtrahend.

After subtraction what we get, as a result, is called the difference.

Example: Find the difference of £19 and £4?

£19 - £4 = £15, where 19 is minuend, 4 is subtrahend and 15 is a difference.

1.1. Subtract numbers without borrowing

Steps:

  • Place the numbers on top of each other, by lining up the hundreds, tens and ones.
  • Subtract them column-wise from right to left. (first, subtract the ones, then the tens, then the hundreds and so on).
  • After subtraction the result is the difference.

1.2. Subtract numbers with borrowing

Steps:

  • Place the numbers on top of each other, by lining up the hundreds, tens and ones.
  • Subtract them column-wise from right to left. (first, subtract the ones, then the tens, then the hundreds and so on).
  • When the digits being subtracted is greater than the digit being subtracted from, borrow from the top number from the next column to the left.
  • Since a number is borrowed from the next place, the number reduces.
  • Subtract the last number to get the final difference.

For example: Subtract 186 from 479.

01-11+ Topicwise-Article-Subtraction

2. Subtraction:

2.1 Subtraction of decimals

Steps:

  • Arrange the numbers under each other, with the decimal points lined up.
  • Put in zeros on empty places.
  • Include decimal in the final result.

Example:

Subtract 17.38 from 44.86

Arrange the numbers under each other along with the decimals.

Start subtracting from right to left.

Include decimal in the final answer.

02-11+ Topicwise-Article-Subtraction

2.2 Subtraction of fractions

Steps:

  • Check the denominators of the fractions.
  • If denominators are the same, we can directly subtract the numerators, keeping the denominators the same.
  • If denominators are not the same, make the denominators the same, by finding the LCM of denominators and rationalizing them.
  • Now, subtract the numerators, keeping the denominators the same.
  • Hence, reduce the fraction to get the final difference.

Example: Subtract fractions 7/9 - 3/9

Since the denominators of these fractions are the same, these given fractions are like fractions.

Now, subtract the numerators by keeping the denominators same and get the difference.

7/9 - 3/9 = 6/9 = 2/3

Example: Subtract fractions 2/3 - 1/6

Let us consider 1 as a denominator of 4.

LCM of 3 and 6 is 6.

Rewrite both the fractions as equivalent fractions with 6 as the denominator and then subtract fractions.

4/6 - 1/6 = 3/6 = 1/2

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