Squaring Numbers Near Five Hundred :
In the previous section we have seen squaring numbers ending in five, squaring numbers near fifty.
In this we see Squaring Numbers Near Five Hundred. This is similar to squaring numbers near fifty.
Example, 507² =
507 is greater than 500.
500² = 250,000 and The number 7 is added to the thousands.
250 + 7 = 257 and 7² = 49.
The answer is 257,000 + 49 = 257,049
To Square numbers below 500 :
For example, 486² =
486 is 14 less than 500,
500² = 250,000 and 14 is added to the thousands.
250 – 14 = 236, 14² = 196.
The answer is, 236,000 + 196 = 236,196.
Numbers Ending in One :
Example, 33² =
First we square 30² = 900, Secondly, add together 30 + 33 = 63.
The answer is 900 + 63 = 963
We can also use the method for squaring numbers ending in 1 for those ending in 6.
Example, 56² =
55² = 3025 , 55 + 56 = 111, 3025 + 111 = 3136 ANSWER.
Numbers Ending in Nine :
Example, 29² =
29 is 1 less than 30, 30² = 900, 30 + 29 = 59, Now 900 – 59 = 841 Answer.
We can also use the method for squaring numbers ending in 9 for those ending in 4.
Example, 54² =
55² = 3025, 55 + 54 = 109, then subtract 3025 – 109 = 2916 Answer.
Sunday, April 19, 2009
Thursday, April 16, 2009
SQUARING NUMBERS - 1
We know to square a Number. To Square a number means multiply a number by itself.
Here we can see how we can square a number easily.
Squaring Numbers Ending in Five :
If we have to Square a number ending in 5, Separate the final 5 from the digit or digits that come before it. Add 1 to the number in front of the 5, then multiply these two numbers together. Write 25 at the end of the answer and the calculation is complete.
Example, 35² =
Separate the 5 from the digits in front. Here, 3 in front of 5. Add 1 to the 3, we get 4. ( 3+1 =4 )
Multiply these two numbers together, 3 × 4 = 12.
Write 25 (5 squared ) after 12 for our answer of 1225.
The answer is 35² = 1225.
We can use this method to numbers with decimals.
We would ignore the decimal and place it at the end of the calculation.
Squaring Numbers near Fifty :
Example, 47² =
47² = 47 × 47.
Rounding upwards, 50 × 50 = 2500.
47 is less than 50, it is a minus number.
We take 3 from the number of hundreds in 2500.
25 – 3 = 22. That is the number of hundreds in answer, 2200.
To get the final answer , find the value of 3². That is 9.
Therefore the answer is 2200 + 9 = 2209.
Similarly, we can use this method to a number more than 50.
For example, 57² =
57 is more than 50, we take 7 from the number of hundreds in 2500.
25 + 7 = 32, that is the number of hundreds in answer, 3200.
Now find the value of 7², that is 49.
Therefore the answer is 3200 + 49 = 3249.
Rest in Next...,
Here we can see how we can square a number easily.
Squaring Numbers Ending in Five :
If we have to Square a number ending in 5, Separate the final 5 from the digit or digits that come before it. Add 1 to the number in front of the 5, then multiply these two numbers together. Write 25 at the end of the answer and the calculation is complete.
Example, 35² =
Separate the 5 from the digits in front. Here, 3 in front of 5. Add 1 to the 3, we get 4. ( 3+1 =4 )
Multiply these two numbers together, 3 × 4 = 12.
Write 25 (5 squared ) after 12 for our answer of 1225.
The answer is 35² = 1225.
We can use this method to numbers with decimals.
We would ignore the decimal and place it at the end of the calculation.
Squaring Numbers near Fifty :
Example, 47² =
47² = 47 × 47.
Rounding upwards, 50 × 50 = 2500.
47 is less than 50, it is a minus number.
We take 3 from the number of hundreds in 2500.
25 – 3 = 22. That is the number of hundreds in answer, 2200.
To get the final answer , find the value of 3². That is 9.
Therefore the answer is 2200 + 9 = 2209.
Similarly, we can use this method to a number more than 50.
For example, 57² =
57 is more than 50, we take 7 from the number of hundreds in 2500.
25 + 7 = 32, that is the number of hundreds in answer, 3200.
Now find the value of 7², that is 49.
Therefore the answer is 3200 + 49 = 3249.
Rest in Next...,
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