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Today at 8:45 AM
Mathematics

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1. Sally 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:
–6.2, 5.71, –3.96, 2.84

(a) Is Sally’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.
Is Sally’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.

Answer :

Аноним Аноним

Today at 8:50 AM

A) Sally’s statement is sometimes true. The equations students write to support their answers will vary. Sample pairs of equations that support the answer “sometimes true” are as follows:
Sample addition equation:–6.2 + 5.71 = –0.49Sample subtraction equation:–3.96 – 2.84 = –6.8
B) You can always change the order of positive and negative decimals when adding and you’ll get the same answer. When you change the order of positive and negative decimals when subtracting, you will get opposite answers.
C) Sally’s statement is true for addition of three positive and negative decimals but not true for subtraction. The equations students write to support their answers will vary. Sample pairs of equations that support the answer that Sally’s statement is true for addition but not subtraction are as follows:
Sample addition equation:
–6.2 + 5.71 + (–3.96) = –4.45Sample subtraction equation:2.84 – (–3.96) – (–6.2) = 13

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