Q. Which expression is equivalent to −61.6+12.2?−12.2+(−61.6)−61.6+(−12.2)12.2−(−61.6)12.2−61.6
Understand Addition Properties: Understand the properties of addition. Adding a negative number is the same as subtracting its absolute value, and subtracting a negative number is the same as adding its absolute value. This is due to the fact that subtraction is the addition of the additive inverse.
Compare Given Expressions: Compare the given expressions to the original expression −61.6+12.2.We need to determine which of the given expressions is equivalent to the original expression by applying the properties of addition.
Analyze First Expression: Analyze the first expression −12.2+(−61.6). This expression is adding the negative of 12.2 to the negative of 61.6. This is equivalent to −12.2−61.6, which is not the same as the original expression −61.6+12.2.
Analyze Second Expression: Analyze the second expression −61.6+(−12.2). This expression is adding the negative of 12.2 to −61.6, which is the same as subtracting 12.2 from −61.6. This is equivalent to the original expression −61.6+12.2.
Analyze Third Expression: Analyze the third expression 12.2−(−61.6). This expression is subtracting the negative of 61.6 from 12.2, which is the same as adding 61.6 to 12.2. This is not the same as the original expression −61.6+12.2.
Analyze Fourth Expression: Analyze the fourth expression 12.2−61.6. This expression is subtracting 61.6 from 12.2, which is not the same as the original expression −61.6+12.2.
Conclude Equivalent Expression: Conclude which expression is equivalent.Based on the analysis, the expression that is equivalent to the original expression −61.6+12.2 is −61.6+(−12.2).