**Add subtract multiply and divide integers :**

Here we are going to see how to add, subtract, multiply and divide integers.

**Add and subtract integers :**

- Whenever we have same signs for two numbers, we have to add those numbers.
- Whenever we have different signs for two numbers, we have to subtract the smaller number from greater number.

Sign of two integers |
What we have to do ? |

+ and + - and - |
We need to add both numbers and the answer will have the big number sign. |

+ and - - and + |
Subtract the small number from the large number and the answer will have the big number sign. |

Sign of two integers |
What we have to do ? |

+ and + - and - |
We need to multiply both numbers and the answer will have positive sign. |

+ and - - and + |
The answer will have negative sign. |

**Example 1 :**

Find the sum of (-34) + 50

**Solution :**

Since the signs are different, we have to subtract the smaller number from greater number and put greater number sign.

aaaaaaaaaaaaaaaaaaaa+ 50aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa- 34aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaaaa16aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaa

**Example 2 :**

Find the sum of 38 + (-5)

**Solution :**

Since the signs are different, we have to subtract the smaller number from greater number and put greater number sign.

aaaaaaaaaaaaaaaaaaaa+ 38aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa- 05aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaaaa33aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaa

**Example 3 : **

Multiply : (13)(-3).

**Solution : **

**Step 1 : **

Determine the sign of the product.

13 is positive and -3 is negative. Since the numbers have opposite signs, the product will be negative.

**Step 2 :**

Find the absolute values of the numbers and multiply them.

|13| = 13 and |-3| = 3

13 x 3 = 39

**Step 3 : **

Assign the correct sign to the product.

13(-3) = -39

Hence, the product is -39.

**Example 4 : **

Multiply : (-5)(-8).

**Solution : **

**Step 1 : **

Determine the sign of the product.

-5 is negative and -8 is negative. Since the numbers have the same sign, the product will be positive.

**Step 2 :**

Find the absolute values of the numbers and multiply them.

|-5| = 5 and |-8| = 8

5 x 8 = 40

**Step 3 : **

Assign the correct sign to the product.

(-5)(-8) = 40

Hence, the product is 40.

**Example 5 : **

Divide: 24 ÷ (-3)

**Solution : **

**Step 1 : **

Determine the sign of the quotient.

24 is positive and -3 is negative. Since the numbers have opposite signs, the quotient will be negative.

**Step 2 : **

Divide.

24 ÷ (-3) = -8

**Example 6 : **

Divide: -6 ÷ (-2)

**Solution : **

**Step 1 : **

Determine the sign of the quotient.

-6 is negative and -2 is negative. Since the numbers have the same sign, the quotient will be positive.

**Step 2 : **

Divide.

-6 ÷ (-2) = 3

After having gone through the stuff given above, we hope that the students would have understood "Add subtract multiply and divide integers".

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