The properties of subtracting integers are explained here along with the examples.
1. The difference (subtraction) of any two integers is always an integer.
Examples:
(a) (+7) – (+4) = 7 - 4 = 3, which is an integer.
(b) (-8) – (+3) = -8 – 3 = -11, which is an integer.
2. For any two different integers ‘a’ and ‘b’, a - b ≠ b - a
3. For any three integers ‘a’, ‘b’ and ‘c’, a - (b - c) ≠ (a - b) - c
4. For any integer ‘a’, a - 0 ≠ 0 - a
To evaluate an expression containing various integers with plus and
minus sign:
1. Evaluate:
(i) (+15) + (-11) - (+5) - (-7)
= 15 - 11 - 5 + 7
= 22 – 16, [Adding all integers with plus (+) sign together and with minus (-) sign respectively together]
= +6 or simply 6.
(ii) (-72) + (-93) - (-85) + (+78)
= -72 -93 + 85 + 78
= -165 + 163, [Adding all integers with plus (+) sign together and with minus (-) sign respectively together]
= - 2
2. Evaluate the expression (-45) + (-32) – (-69) + (87)
Solution:
(-45) + (-32) – (-69) + (87)
= -45 – 32 + 69 +87
Add all the positive terms and add all the negative terms
= -(45 + 32) + (69 + 87)
= -77 + 156
= +79
= 79
3. Simplify: 32 – 13 + 35 + 18 - 60
Solution:
32 – 13 + 35 + 18 – 60
Add all the positive terms and add all the negative terms
= (32 + 35 + 18) – (13 + 60)
= 85 – 73
= +12 or simply 12
4. The sum of two integers is -17. If one of them is -7, find the other.
Solution:
Other integer = Sum of two integers - the given integer
= (-17) – (-7)
= -17 + 7
= -10
Therefore the other number is -10.
Numbers Page
6th Grade Page
From Properties of Subtracting Integers to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Apr 15, 24 01:29 AM
Apr 15, 24 01:13 AM
Apr 14, 24 03:06 PM
Apr 14, 24 02:23 PM
Apr 14, 24 02:01 PM