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BY EVERYDAYTUITION
6 TIPS FOR SOLVING
MATH PROBLEMS
WITHOUT A
CALCULATOR
ADDITION + SUBTRACTION
1. Addition
The first tip is to deconstruct your problem into
smaller components in order to make it simpler.
For instance, we could rewrite
Switch
When addition, it's frequently simpler to choose a
smaller number, so exchange 131 and 858.
858 + 131
= 858 + 100 + 30 + 1
= 989
567 + 432
= 567 + (400 + 30 + 2)
= 967 + 30 + 2
= 997 + 2
= 999
2. Subtraction
It may be simpler to perform subtraction if you use
a number's complement. The difference between
the original number and a round number, like 100 or
1000, is the complement.
For Example:-
721–387
# the complement of 87 is 13, so we can swap 387
with 400 – 13
-> 721 — (400 - 13)
= 321 - -13
= 321 + 13
= 334
3. Multiplication
Elevens
For a two-digit number, add the digits and put the answer
in the middle of the number you are multiplying:
For Example
35 x 11
-> 3_5
-> 3+5 = 8
-> 385
4. Nines
Multiplying by nine can be simplified by multiplying
by 10 and removing the starting number. Fpr
Example -
799 x 9
= 799 x (10 -1)
= 7990 – 799
= 7191
5. How to solve squares
Use this formula to rewrite a square equation into numbers
that are easier to handle
n^2 = (n+d)(n-d) + d^2
where n is the number to be squared, and d is the difference
Here’s an example
57^2
= (57+3)(57–3) + 3^2
# we add 3 to 57, as 60 is easier to multiply than 57, and
subtract 3 from the second 57
-> 60 x 54 + 9
= 3000 + 240 + 9
= 3249
6. Reverse the question
Since percentages are associative, reversing the
question order can simplify the calculation.
What’s 36% of 25
-> is the same as 25% of 36
-> 25% is ¼
-> 36/4 = 9
36% of 25 is 9
CONTACT US
170 Upper Bukit Timah Road Bukit Timah
Shopping Centre, 03-70, Singapore 588179
(+65) 8500 8938
manager@everydaytuition.com
www.everydaytuition.com

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6 Tips For Solving Math Problems Without a Calculator.pdf

  • 1. BY EVERYDAYTUITION 6 TIPS FOR SOLVING MATH PROBLEMS WITHOUT A CALCULATOR
  • 2. ADDITION + SUBTRACTION 1. Addition The first tip is to deconstruct your problem into smaller components in order to make it simpler. For instance, we could rewrite Switch When addition, it's frequently simpler to choose a smaller number, so exchange 131 and 858. 858 + 131 = 858 + 100 + 30 + 1 = 989 567 + 432 = 567 + (400 + 30 + 2) = 967 + 30 + 2 = 997 + 2 = 999
  • 3. 2. Subtraction It may be simpler to perform subtraction if you use a number's complement. The difference between the original number and a round number, like 100 or 1000, is the complement. For Example:- 721–387 # the complement of 87 is 13, so we can swap 387 with 400 – 13 -> 721 — (400 - 13) = 321 - -13 = 321 + 13 = 334 3. Multiplication Elevens For a two-digit number, add the digits and put the answer in the middle of the number you are multiplying:
  • 4. For Example 35 x 11 -> 3_5 -> 3+5 = 8 -> 385 4. Nines Multiplying by nine can be simplified by multiplying by 10 and removing the starting number. Fpr Example - 799 x 9 = 799 x (10 -1) = 7990 – 799 = 7191
  • 5. 5. How to solve squares Use this formula to rewrite a square equation into numbers that are easier to handle n^2 = (n+d)(n-d) + d^2 where n is the number to be squared, and d is the difference Here’s an example 57^2 = (57+3)(57–3) + 3^2 # we add 3 to 57, as 60 is easier to multiply than 57, and subtract 3 from the second 57 -> 60 x 54 + 9 = 3000 + 240 + 9 = 3249 6. Reverse the question Since percentages are associative, reversing the question order can simplify the calculation. What’s 36% of 25 -> is the same as 25% of 36 -> 25% is ¼ -> 36/4 = 9 36% of 25 is 9
  • 6. CONTACT US 170 Upper Bukit Timah Road Bukit Timah Shopping Centre, 03-70, Singapore 588179 (+65) 8500 8938 manager@everydaytuition.com www.everydaytuition.com