Subtraction Of Integers
Subtraction Of Integers
Subtraction of Integers: To subtract integers like a and b, then to subtract b from a, we change the sign of b and add it to a: a – b = a + (-b)
Example: Subtract 3 from -8
Solution: As we have to subtract 3 from -8, we change the sign of 3 and add it to -8. Thus, we have -8 -3 = (-8) + (-3) = -11 . To add two negative integers, first add the absolute value i.e. 8 + 3 = 11, then place the negative sign as both integers are negative. Final answer = -11
Example: Subtract -10 and -11
Solution : -10 - (-11) . Here, the two minus symbol will become plus. So, we get -10 + 11 = +1
If the signs are different subtract the smaller absolute value from the larger absolute value. The sign will be the sign of the integer that produced the larger absolute value.
Example: Simplify: 14 - (+6)
Solution: 14 - (+6) = 14 - 6 = 8. The answer if positive because sign will be used of larger absolute integer which is 14 and it is positive.
Properties satisfied by subtraction:
Example: Verify closure property under subtraction: Subtract -9 from 8:
Solution: 8 - (-9) : Two negative symbols will become plus. 8 + 9 = +17 which is an integer.
Example: Verify commutative property under subtraction for +5 and +2:
Solution: Let a = +5 and b = +2
RHS = b - a = +2 - (+5) = +2 - 5 = -3
LHS = a - b = +5 - (+2) = +5 -2 = +3
. Hence verified.
Example: Verify Associative Property of integers (+9), (-3) and (+4)
Solution: Let a = +9 , b = -3 and c = +4
LHS = (a - b) - c = (+9 - (-3)) - (+4) = (+9 + 3) - 4 = +12 - 4 = +8
RHS = a - (b - c) = +9 - (-3 - (+4)) = +9 - (-3 - 4) = +9 - (-7) = +9 + 7 = +16
. Hence Verified
Sum of two integers is -35. If one of them is 15, then other one is ______________________ | |||
| Right Option : C | |||
| View Explanation | |||
How much is -8 less than -3? | |||
| Right Option : A | |||
| View Explanation |
Sum of two integers is +62. If one of the integer is - 48 then the other is __________________________ | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [10]
My experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
