Question

Subtract the first integer from the second in each of the following : b) 8650-9 ​

Answer 1

Step-by-step explanation:

subtraction of integers has three possibilities. They are:

Subtraction between two positive numbers,

Subtraction between two negative numbers; and

Subtraction between a positive number and a negative number.

For the ease of calculation, we need to renovate subtraction problems into addition problems. There are two steps to this:

Convert the subtraction sign into an addition sign.

After converting the sign, take the inverse of the number which comes after the sign.

Once the transformation is done, follow the rules of addition given above.

For example, find the value of: (-5) – (7)

Step 1: Change the subtraction sign into an addition sign

⇒ (-5) + (7)

Step 2: Take the inverse of the number which comes after the sign

⇒ –5 + (-7) (opposite of 7 is -7)

⇒ –5 + (-7) = -12 [Add and put the sign of greater number]

Also, read:

Integers

Multiplication Division Integers

Operations Of Integers

Adding and Subtracting Integers Examples

Example 1: Evaluate the following:

(-5 )+ 9

(-1) – ( -2)

Solution:

(-5 )+ 9 = 4 [Subtract and put the sign of greater number]

(-1) – ( -2)

⇒ (-1) + (-2) [Transform subtraction problems into addition problems]

⇒ (-1) + (2) [Subtract and put the sign of greater number]

Hence,

(-1) – ( -2) = 1

Example 2: Add -10 and -19.

Solution: -10 and -19 are both negative numbers. So if we add them, we get the sum in negative, such as;

(-10)+(-19) = -10-19 = -29

Example 3: Subtract -10 and -19.

Solution: (-10) – (-19)

Here, the two minus symbol will become plus. So,

-10 + 19 = 19 -10 = 9

Example 4: Evaluate 9 – 10 +(-5) + 6

Solution: First open the brackets.

9 – 10 -5 + 6

Add the positive and negative integers separately.

= 9 + 6 – 10 -5

= 15 – 15

= 0