Discussion
What is the value of the following expression? 4.5 × 4.5 + 3.5 × 3.5 + 6.5
Answer: A
The value is 39. Square each decimal: 4.5 x 4.5 = 20.25 and 3.5 x 3.5 = 12.25. Adding the last term gives 20.25 + 12.25 + 6.5 = 39. Options 32, 29 and 38 would come from mistakes such as dropping a part of the product or the final 6.5. A quick check: 4.5 squared is (4 + 0.5) squared = 16 + 4 + 0.25 = 20.25, and 3.5 squared is (3 + 0.5) squared = 9 + 3 + 0.25 = 12.25. The total 20.25 + 12.25 is exactly 32.5, which with the 6.5 makes 39.
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