Simplifications Plays an Important Role in Banking Exams and Other Competitive Exams Now days.
As we know Simplification problems any can do it. but we have to Do Correctly within the time limits. By shortcuts Method. That's Important.
We must learn to do the basic calculations faster. It saves few seconds from each question. And at the end, we find that at least 5-10 minutes have been saved.
What to do for faster basic calculation:
1. Remember the tables upto 30.
2. Learn the method of multiplication.
3. Learn the method of addition - subtraction in a single line or column.
4. Learn the method of approximation.
5. Learn to compare two fractions.
6. Remember square roots, squares, cubes and cube roots. (Shortcuts)
7. Remember fractional value of percentage.
8. Remember decimal values of reciprocals.
9. Do calculations mentally. Don’t write unnecessary steps in Exams.
10. Learn the laws of surds and indices.
11. VBODMAS Rule:
V stands for Vinculum or bar
B Stands for brackets and operation of brackets in
the order (), {}, []
O stands for “of”
D stands for division (÷)
M stands for multiplication (×)
A stands for addition (+)
S stands for substraction (-)
12. Some algebraic formulae:
1. (a + b)2 = a2 + b2 + 2ab
2. (a – b)2 = a2 + b2 – 2ab
3. (a + b)2 + (a – b)2 = 2(a2 + b2)
4. (a + b)2 – (a – b)2=4ab
5. (a + b) (a – b) = a2 – b2
6. (a + b)3 = a3 + 3a2b + 3ab2 + b3
7. (a – b)3 = a3 – 3a2b + 3ab2 – b3
8. a3 + b3 = (a + b) (a2 – ab + b2 )
9. a3 – b3 = (a – b) (a2 + ab + b2)
As we know Simplification problems any can do it. but we have to Do Correctly within the time limits. By shortcuts Method. That's Important.
Simplification
We must learn to do the basic calculations faster. It saves few seconds from each question. And at the end, we find that at least 5-10 minutes have been saved.
What to do for faster basic calculation:
1. Remember the tables upto 30.
2. Learn the method of multiplication.
3. Learn the method of addition - subtraction in a single line or column.
4. Learn the method of approximation.
5. Learn to compare two fractions.
6. Remember square roots, squares, cubes and cube roots. (Shortcuts)
7. Remember fractional value of percentage.
8. Remember decimal values of reciprocals.
9. Do calculations mentally. Don’t write unnecessary steps in Exams.
10. Learn the laws of surds and indices.
11. VBODMAS Rule:
V stands for Vinculum or bar
B Stands for brackets and operation of brackets in
the order (), {}, []
O stands for “of”
D stands for division (÷)
M stands for multiplication (×)
A stands for addition (+)
S stands for substraction (-)
12. Some algebraic formulae:
1. (a + b)2 = a2 + b2 + 2ab
2. (a – b)2 = a2 + b2 – 2ab
3. (a + b)2 + (a – b)2 = 2(a2 + b2)
4. (a + b)2 – (a – b)2=4ab
5. (a + b) (a – b) = a2 – b2
6. (a + b)3 = a3 + 3a2b + 3ab2 + b3
7. (a – b)3 = a3 – 3a2b + 3ab2 – b3
8. a3 + b3 = (a + b) (a2 – ab + b2 )
9. a3 – b3 = (a – b) (a2 + ab + b2)
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