1.1.1 Addition and Subtraction of Integers
1.1.1a Addition of Integers
1. Addition of integers can be done on a number line.
(a) To add a positive integer:
Move to the right (positive direction) on the number line.
(b) To add a negative integer:
Move to the left (negative direction) on the number line.
2. Integers with the same signs are called integers with like signs.
Example:
2 and 7, –25 and –5.
3. Integers with the different signs are called integers with unlike signs.
Example:
+2 and –7, –25 and 5.
Example 1:
Solve the following.
(a) 3 + (+4)
(b) 2 + (–5)
Solution:
(a)
Therefore,
3 + (+4) = 3 + 4
= 7
(b)
Therefore,
2 + (–5)
= –3
1.1.1a Addition of Integers
1. Addition of integers can be done on a number line.
(a) To add a positive integer:
Move to the right (positive direction) on the number line.
(b) To add a negative integer:
Move to the left (negative direction) on the number line.
2. Integers with the same signs are called integers with like signs.
Example:
2 and 7, –25 and –5.
3. Integers with the different signs are called integers with unlike signs.
Example:
+2 and –7, –25 and 5.
Example 1:
Solve the following.
(a) 3 + (+4)
(b) 2 + (–5)
Solution:
(a)
Therefore,
3 + (+4) = 3 + 4
= 7
Therefore,
2 + (–5)
= –3
1.1.1b Multiplication and Division of Integers
1. Multiplication and division of like signs gives (+)
1. Multiplication and division of like signs gives (+)
2. Multiplication and division of unlike signs gives (–)
Example:
(a) –25 ÷ 5 = –5
(b) 8 × (–5) = –40