In subtracting 2-digit numbers we will subtract or minus a * one*-

Let us subtract 2 from 39

Subtract ones and write in the ones place. 9 ones – 2 ones = 7 ones Subtract tens and write in the tens place. 3 tens – 0 tens = 3 tens |

**39 – 2 = 37**

Let us subtract 34 from 65.

Subtract ones and write in the ones place. 5 ones – 4 ones = 1 ones Subtract tens and write in the tens place. 6 tens – 3 tens = 3 tens |

**65 – 34 = 31**

**How to subtract two digit numbers?**

**The steps of the examples on subtracting 2-digit numbers i.e. ‘ones from ones’ and ‘tens from tens’:**

**1.** Subtract 41
from 63.

(i) First arrange the numbers vertically so that the tens' place digits and ones' place digits are lined up which means in simple one number should be written above the other number. Draw a line under the bottom number.

(ii) Subtract the digits in the ones place. Subtract (3 - 1 = 2). Place 2 in the ones column as shown.

(iii) Subtract the digits in the tens' place. Subtract (6 - 4 = 2). Place 2 in the tens column as shown.

(iv) The difference of 63 – 41 is 22

**2.** Subtract 52 from 86.

(i) First arrange the numbers vertically so that the tens' place digits and ones' place digits are lined up which means in simple one number should be written above the other number. Draw a line under the bottom number.

(ii) Subtract the digits in the ones place. Subtract (6 - 2 = 4). Place 4 in the ones column as shown.

(iii) Subtract the digits in the tens' place. Subtract (8 - 5 = 3). Place 3 in the tens column as shown.

(iv) The difference of 86 - 52 is 34

**3.** Subtract 42 from 78

**Solution:**

(i) Given numbers are written in column form. The greater number is written first, then the smaller number is written. (ii) First, the digits of one’s place are taken. 2 is subtracted from 8. 8 ones – 2 ones = 6 ones. This 6 is written in one’s column. (iii) Now digits of tens place are written 4 is subtracted from 7. 7 tens – 4 tens = 3 tens. This 3 is written in tens column. |

Hence, 78 - 42 = 36

**Let us learn how to subtract 2-digit numbers using an abacus.**

**4. Subtract 26 from 49.**

**Step I:** Look at the ones rod.

Take away 6 beads.

9 – 6 = 3

**5. Subtract 31 from 73.**

**Step I:** Look at the ones rod.

Take away 1 bead.

3 – 1 = 2

**Note:**
To do subtraction using an abacus, first subtract the beads o the ones rod and
then subtract the beads on the tens rod.

**Subtraction without Borrowing:**

**5. Let us subtract 7 from 29.**

**Step I:** Arrange the two numbers under tens and ones.

**Step II:** First subtract the ones.

**Step III:** Subtract the tens.

Thus, 29 – 7 = 22

**2. Subtract 23 from 38.**

**Step I:** Arrange the two numbers under tens and ones.

**Step II:** First subtract the ones.

**Step III:** Subtract the tens.

Thus, 38 – 23 = 15

**In subtraction there
are three numbers as:**

95 ← the number from which smaller number
is subtracted is called **minuend**.

__- 23__ ← the number to be subtracted is called
the **subtrahend**.

__ 72__ ← the
number which is the subtracted result is called the **difference**.

Here, in subtracting 2-digit numbers we get 95 is minuend, 23 is subtrahend and 72 is difference.

Minuend is always greater than subtrahend.

Questions and Answers on Subtracting 2-Digit Numbers:

**1. Subtract the following:**

(i) 60 - 10 = _____

(ii) 58 - 13 = _____

(iii) 88 - 33 = _____

(iv) 62 - 41 = _____

(v) 43 - 21 = _____

(vi) 57 - 26 = _____

(vii) 72 - 61 = _____

(viii) 47 - 11 = _____

(ix) 97 - 45 = _____

(x) 38 - 26 = _____

(xi) 71 - 60 = _____

(xii) 25 - 14 = _____

(xiii) 63 - 32 = _____

(xiv) 59 - 20 = _____

(xv) 37 - 12 = _____

(xvi) 89 - 69 = _____

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