Q. Which expression is equivalent to −60.5+14.9?60.5−14.914.9−60.5−14.9+(−60.5)−60.5+(−14.9)
Understand the problem: Understand the problem.We need to find an expression that is equivalent to −60.5+14.9. This means we are looking for an expression that will give the same result when calculated.
Analyze given expressions: Analyze the given expressions.We have four options:1. 60.5−14.92. 14.9−60.53. −14.9+(−60.5)4. −60.5+(−14.9)We need to determine which of these will result in the same value as −60.5+14.9.
Compare first option: Compare the first option with the original expression.The first option is 60.5−14.9. This is not equivalent to −60.5+14.9 because the first term has a different sign.
Compare second option: Compare the second option with the original expression.The second option is 14.9−60.5. This is not equivalent to −60.5+14.9 because the order of the terms is reversed, which will affect the sign of the result.
Compare third option: Compare the third option with the original expression.The third option is −14.9+(−60.5). This is not equivalent to −60.5+14.9 because both terms are negative, which is not the case in the original expression.
Compare fourth option: Compare the fourth option with the original expression.The fourth option is −60.5+(−14.9). This is equivalent to −60.5+14.9 because adding a negative number is the same as subtracting its positive counterpart. Therefore, −60.5+(−14.9) is the same as −60.5−14.9, which is what we get if we change the sign of 14.9 in the original expression.