evaluate (101.5)²-(100.5)²
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(101+.5)^2 - (101-.5)^2
((101+.5) + (101-.5))((101+.5) - (101-.5))
(202)(1) = 202
To evaluate the expression (101.5)² - (100.5)², you need to subtract the square of 100.5 from the square of 101.5.
Here's how you can do it step by step:
Step 1: Calculate the square of 101.5.
To square a number, you multiply it by itself. So, (101.5)² is equal to 101.5 multiplied by 101.5.
(101.5)² = 101.5 * 101.5 = 10,302.25
Step 2: Calculate the square of 100.5.
Similarly, to find (100.5)², you multiply 100.5 by 100.5.
(100.5)² = 100.5 * 100.5 = 10,102.25
Step 3: Subtract the square of 100.5 from the square of 101.5.
Now, subtract the value obtained in Step 2 from the value obtained in Step 1.
(101.5)² - (100.5)² = 10,302.25 - 10,102.25 = 200
Therefore, the value of (101.5)² - (100.5)² is 200.