Q. Which expression has the same value as 70.4−50.9?70.4+(−50.9)−70.4+(−50.9)50.9−70.4−50.9+(−70.4)
Understand original expression: Understand the original expression.The original expression is a subtraction: 70.4−50.9.We need to find which of the given options has the same value as this expression.
Calculate value: Calculate the value of the original expression.Subtract 50.9 from 70.4 to find the value of the original expression.70.4−50.9=19.5
Analyze first option: Analyze the first option.The first option is 70.4+(−50.9). This is equivalent to the original expression because adding a negative number is the same as subtracting its positive counterpart.70.4+(−50.9)=70.4−50.9=19.5
Analyze second option: Analyze the second option.The second option is −70.4+(−50.9). This is not equivalent to the original expression because it involves adding two negative numbers, which would result in a negative sum, not a positive difference like the original expression.−70.4+(−50.9)=19.5
Analyze third option: Analyze the third option.The third option is 50.9−70.4. This is not equivalent to the original expression because it would result in a negative number, as the smaller number is being subtracted from the larger number.50.9−70.4=19.5
Analyze fourth option: Analyze the fourth option.The fourth option is −50.9+(−70.4). This is not equivalent to the original expression because it involves adding two negative numbers, which would result in a negative sum, not a positive difference like the original expression.−50.9+(−70.4)=19.5
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