a 7 23 2 b 4 3 2 3 2 c 2 6 4 3 d 24 2 2 7 2 5 2 Apply 10 For each pair of

A 7 23 2 b 4 3 2 3 2 c 2 6 4 3 d 24 2 2 7 2 5 2 apply

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a) 7 - 2(3 2 ) b) ( - 4 - 3) 2 + ( - 3) 2 c) ( - 2) 6 ÷ 4 3 d) 24 - 2 2 + (7 2 - 5 2 ) Apply 10. For each pair of expressions, which one has a greater value? How much greater is it? a) 3(2) 3 2(3) 2 b) (3 × 4) 2 3 2 × 4 2 c) 6 3 + 6 3 (6 + 6) 3 11. Find the step where Justin made an error. Show the correct answer. (-3 + 6) 2 - 4 × 3 2 = 3 2 - 4 × 3 2 Step 1 = 9 - 4 × 9 Step 2 = 5 × 9 Step 3 = 45 Step 4 12.Find the step where Katarina made an error. What is the correct answer? 2 = 32 ÷ (-8) + 5 × 8 Step 1 = -4 + 5 × 8 Step 2 = -4 + 40 Step 3 = 36 Step 4 13.Write an expression with powers to determine the difference between the volume of the small cube and the volume of the large cube. What is the difference? 14. Read the following riddle and then answer the questions below. In downtown Victoria, there are seven pink houses. Every pink house has seven pink rooms, every pink room has seven cats, and every cat has seven kittens. a) How many pink rooms are there? b) How many kittens are there? c) Write an expression using powers of 7 to determine the total number of houses, rooms, cats, and kittens. Evaluate your expression. 15.Write an expression with powers to determine the difference between the area of the large square and the area of the small square. What is the difference? 16.A red square with a side length of 8 cm is placed on a yellow square with a side length of 10 cm. Write an expression with powers to determine the visible yellow area. What is the visible yellow area?
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17.What is the value of 532? 18. In a game show called The Pyramid of Money, a contestant must successfully answer a set of questions. The first question is worth $3125. Each question after that is worth four times the value of the previous question. a) What is the value of question 2? question 3? question 4? b) How many questions would a contestant have to answer correctly before becoming eligible to answer a question with a value of $3 200 000? c) Which question is represented by the expression 3125 × 4 7 ? d) Write an expression with powers that represents the sum of the values of the first four questions. 19. A phone tree is used to notify the players on a football team about a change in the time for their next game. Each of the three coaches calls two different players, and then each player calls two more players. Each person only makes two calls. The chart shows the number of people calling and receiving calls for each round of two calls. Round of Calls Number of People Calling Number of Calls Received Total Number of People Notified First 3 6 3 + 6 = 9 Second 6 12 9 + 12 = 21 Third 12 24 21 + 24 = 45 Fourth 24 45 + = 93 a) What value belongs in each unknown box? b) Write an expression for the number from part a) as a product of 3 and a power of 2. c) What does the 3 in part b) represent? d) What does the exponent in part b) represent? e) Imagine that the phoning continued. Determine an expression for the number of calls received in the sixth round and evaluate it.
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