Q. Which expression is equivalent to −8.2−5 ?Choose 1 answer:(A) 8.2−5(B) −8.2+(−5)(C) −8.2+5(D) 5−(−8.2)
Understand the expression: Understand the original expression.The original expression is −8.2−5, which means we are subtracting 5 from −8.2.
Compare with option (A): Compare the original expression with option (A). Option (A) is 8.2−5, which is subtracting 5 from 8.2, not −8.2. This is not equivalent to the original expression.
Compare with option (B): Compare the original expression with option (B). Option (B) is −8.2+(−5), which means adding −5 to −8.2. Adding a negative number is the same as subtracting its positive counterpart, so this is equivalent to the original expression.
Compare with option (C): Compare the original expression with option (C). Option (C) is −8.2+5, which means adding 5 to −8.2. This is not equivalent to the original expression because it involves addition of a positive number instead of subtraction.
Compare with option (D): Compare the original expression with option (D).Option (D) is 5−(−8.2), which means subtracting −8.2 from 5. This is the same as adding 8.2 to 5, which is not equivalent to the original expression.
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