For Exercises 1 12, use your algorithms to find each sum without using a calculator _ 2

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1 A C E Applications Connections Extensions Applications For Exercises, use your algorithms to find each sum without using a calculator _.. 6. Find each sum Write an addition number sentence that matches each diagram. Accentuate the Negative Investigation Copyright Pearson Education, In, or its affiliates. All Rights Reserve

2 For Exercises and 6, use the chip board below. The chip board has 0 black chips and red chips.. What is the value shown on the board? 6. Write a number sentence to represent each situation. Then find the new value of the chip boar Remove red chips from the original boar Then add black chips. Then add black chips and red chips.. Use properties of addition to find each value... For Exercises 8 9, use your algorithms to find each difference without using a calculator. Show your work Find each value without using a calculator. e. f. Accentuate the Negative Investigation Copyright Pearson Education, In, or its affiliates. All Rights Reserve

3 For Exercises 6, find each value For each part below, write a problem about temperature, money, or game scores that can be represented by the number sentence. 0 n 0 n Without doing any calculations, decide which expression is greater. Explain your reasoning., or,80 68, or,60 880,00 +, or,00, 9. Without doing any calculations, determine which of the following results are positive and which are negative. Explain your reasoning Find each missing part. Start With Rule End With Add Subtract Accentuate the Negative Investigation Copyright Pearson Education, In, or its affiliates. All Rights Reserve

4 For Exercises 6, find each sum or difference. Show your work Below is part of a time line with three years marke Write two sentences in words that refer to the year 0. One should relate 0 to 00, and the other should relate 0 to 0. Write two number sentences that refer to the year 0. One should relate 0 to 00, and the other should relate 0 to 0. Describe how these two number sentences are alike and different. 8. Compute each of the following e. 8 f. 8 g. 9 0 h. 9 0 i. What can you conclude about the relationship between subtracting a positive number and adding a negative number with the same absolute value? In other words, what is the relationship between a ( ) situation and a ( ) situation? 9. Compute each of the following e. 8 f. 8 g. 9 0 h. 9 0 i. What can you conclude about the relationship between subtracting a negative number and adding a positive number with the same absolute value? In other words, what is the relationship between a ( ) situation and a ( ) situation? Accentuate the Negative Investigation Copyright Pearson Education, In, or its affiliates. All Rights Reserve

5 Multiple Choice In each set of calculations, one result is different from the others. Find the different result without doing any calculations. 0. A. B. C. D.. F G H J A. B. C. D.. F. G. H. J.. Fill in the missing information for each problem. ( 6) 8 e. + f.. + =. Multiple Choice Which is the correct addition and subtraction fact family for + =? A. B. C. D. ( ) ( ) 6. For each of the following, write a related equation. Then find the value of. n 0 n 8 n 9. Are 8 8 and 8 8 equal? Explain. 8. Are and equal? Explain. 9. Are the expressions in each group below equivalent? If so, which form makes the computation easiest? Accentuate the Negative Investigation Copyright Pearson Education, In, or its affiliates. All Rights Reserve

6 Connections 60. The Spartan Bike Shop keeps a record of their business transactions. They start their account at zero dollars. Write a number sentence to represent each transaction. Then find the new balance. For Exercises 6 and 6, write a number sentence for each situation. Then answer the question. 6. The air temperature drops from 9 F to F in minutes. What is the change in temperature? 6. The Teacher s Pets team has 0 points in Math Fever. They miss a question worth 00 points. What is their new score? 6. Find four different numbers, in order from least to greatest, that lie between the two given numbers.. and. 0. and 0. Accentuate the Negative Investigation 6 Copyright Pearson Education, In, or its affiliates. All Rights Reserve

7 Extensions 6. Which numbers, when added to, give a sum greater than 0? less than 0? equal to 0? 6. Use a number line to find the distance between each pair of numbers. 8 _ e. f Find each absolute value e. f...6 g. Compare the results of parts (a) (f) with the distances found in Exercise 6. What do you notice? Why do you think this is so? 6. Replace n with a number to make each statement true. n 8 6 n n 0n 0 Accentuate the Negative Investigation Copyright Pearson Education, In, or its affiliates. All Rights Reserve

8 68. The table shows the profits or losses (in millions of dollars) earned by three companies from 00 to 0. Find the range of the annual results and the overall profit (or loss) for each company over that time perio 69. Starting from 0, write an addition sentence for the diagrams below. Accentuate the Negative Investigation 8 Copyright Pearson Education, In, or its affiliates. All Rights Reserve

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