Multiplication of Numbers Close to 100,1000 etc.
By Using Shortcuts we can calculate multiplication of numbers close to 100,1000 etc. within 10 seconds.
98
X 93
---------
9114
---------
Explanation:
Step 1: Here the base value is 100 because of 98,93 are the close to 100
Step 2: Consider difference of numbers from base value(100) i.e. -2, -7 (Consider Sign also either it is Positive or Negative)
Note: if the numbers are close to 1000 base value is 1000
98 (100-98 =2) +2 98 +2
X 93 (100-93 =7) +7 X 93 +7
------------------------------- ----------------
Here consider Cross Difference i.e 98 -7 =91, 93-2 = 91 then add Two Zero after 91 i.e. 9100 because of base value is 100 (91*100 = 9100)
now the tentative answer is 9100 (not over)
then Multiply +2,+7, i.e. +14
+14 is add to 9100
9100
+ +14
----------------
Required Answer is 9114
---------
102
X 98
-------------
Here Base value is 100
102 (100-102 = -2) -2
X 98 (100-98 = +2) +2
---------------------------------------
102 -2 =100
98-(-2)=100
Here Cross difference is 100 then add Two Zero after 100 i.e. 10000 because of base value is 100
Answer is 10000 + -2 * +2 = -4
Add -4 is to 10000
X -4
-----------
Answer: 9996
----------
By Using Shortcuts we can calculate multiplication of numbers close to 100,1000 etc. within 10 seconds.
98
X 93
---------
9114
---------
Explanation:
Step 1: Here the base value is 100 because of 98,93 are the close to 100
Step 2: Consider difference of numbers from base value(100) i.e. -2, -7 (Consider Sign also either it is Positive or Negative)
Note: if the numbers are close to 1000 base value is 1000
98 (100-98 =2) +2 98 +2
X 93 (100-93 =7) +7 X 93 +7
------------------------------- ----------------
Here consider Cross Difference i.e 98 -7 =91, 93-2 = 91 then add Two Zero after 91 i.e. 9100 because of base value is 100 (91*100 = 9100)
now the tentative answer is 9100 (not over)
then Multiply +2,+7, i.e. +14
+14 is add to 9100
9100
+ +14
----------------
Required Answer is 9114
---------
102
X 98
-------------
Here Base value is 100
102 (100-102 = -2) -2
X 98 (100-98 = +2) +2
---------------------------------------
102 -2 =100
98-(-2)=100
Here Cross difference is 100 then add Two Zero after 100 i.e. 10000 because of base value is 100
Answer is 10000 + -2 * +2 = -4
Add -4 is to 10000
X -4
-----------
Answer: 9996
----------
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