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Using identity evaluate 103 multiplied 104?
Most Upvoted Answer
Using identity evaluate 103 multiplied 104?
By using (x+a)(x+b)=x^2 + x(a+b) + ab
104*103=(100+4)(100+3)
=100^2 + 100(4+3) + (4*3)
=10000+700+12
=10712
=10712
Therefore, the answer is 10712.
For revision notes on Algebric Expressions and identities click on the link given below:
Community Answer
Using identity evaluate 103 multiplied 104?
Using Identity to Evaluate 103 multiplied 104
When evaluating the product of 103 and 104, we can use the identity:
a x (a + b) = a^2 + ab
We can rewrite 104 as 103 + 1:
103 x (103 + 1) = 103^2 + 103
Therefore, 103 x 104 = 10,712.
The above identity is very useful in multiplying numbers that are close to each other, especially when the larger of the two numbers can be written as the sum of the smaller number and another small number.
Explanation in Detail
When we multiply two numbers together, we are essentially adding one of the numbers to itself as many times as the other number. For example, when we multiply 3 and 4, we are adding 3 to itself 4 times:
3 x 4 = 3 + 3 + 3 + 3 = 12
However, when the numbers we are multiplying are large, this process can become tedious and time-consuming. That's where identities come in handy.
An identity is a mathematical formula that is always true, regardless of the values of the variables involved. One such identity is:
a x (a + b) = a^2 + ab
We can use this identity to simplify the multiplication of two numbers that are close to each other. In the case of 103 x 104, we can rewrite 104 as 103 + 1:
103 x (103 + 1) = 103^2 + 103
Using this identity, we have reduced the multiplication of two large numbers to the multiplication of two smaller numbers and an addition. This is much easier to compute mentally or using a calculator. In this case, we get:
103 x 104 = 10,712
Therefore, by using the identity a x (a + b) = a^2 + ab, we can quickly and easily evaluate the product of 103 and 104.
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Using identity evaluate 103 multiplied 104?
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Using identity evaluate 103 multiplied 104? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Using identity evaluate 103 multiplied 104? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Using identity evaluate 103 multiplied 104?.
Using identity evaluate 103 multiplied 104? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Using identity evaluate 103 multiplied 104? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Using identity evaluate 103 multiplied 104?.
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