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Suzan said that when you add or subtract positive or negative decimals, you can change the order of the decimals and still get the same answer. Use these decimals to answer the questions: –5.2, 7.71, –8.56, 3.94 (a) Is Suzan’s statement always true, sometimes true, or always false? Write two pairs of equations using addition and two pairs of equations using subtraction to support your answer. (b) Write a rule about changing the order of the numbers in adding and in subtracting positive and negative decimals. (c) Is Suzan’s statement true for addition and subtraction of three positive or negative decimals? Write two pairs of equations (one pair for addition, and one pair for subtraction) that support your answer.
@amistre64
For the addition part: $$ –5.2+ 7.71=2.51\\ 7.71-5.2=2.51\\ $$ We see that reversing the order did not change the result. For the subtraction part: $$ –5.2- 7.71=-12.91\\ 7.71-(–5.2)=12.91\ne -12.91 $$ We see that changing the order changed the result. So the rule is true for addition but not for subtraction
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