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5th ~ Answer Key ~ Grade Unit 7 Checking Progress Complete the table 1. Exponential Notation 44 53 64 Products of Factors 4 * 4 * 4 * 4 5*5*5 6 * 6 * 6 * 6 Standard Notation 256 125 1,296 7e. Understand and apply exponential notation. 2. 3-4 5-6 1 2 3 Complete the table. Standard Notation 60,000 500,000 400,000 Scientific Notation 6 * 104 5 * 105 4 * 106 7a. Understand and apply scientific notation. 3. 0-2 1 2 3 1 2 3 Complete the following pattern. 10² = 10 * 10 = 100 10³ = 1,000 104 = 10 * 10 * 10 * 10 7b. Understand and apply powers of 10. = 10,000 1 2 3 1 2 3 Using the rules of order of operations, circle the correct answer. (Because of the rules of order of operations, some of the problems do not need parentheses.) 4. a. 9 + (2 * 5) = 19 b. (9 + 2) * 5 = 19 5. a. (12 + 8) ÷ 2 = 16 b. 12 + (8 ÷ 2) = 16 6. a. (3 + 7) x 5 = 38 b. 3 + (7 x 5) = 38 7c. Understand and apply order of operations to evaluate expressions and solve number sentences. 1 2 3 1 2 3 Put in the parentheses to make each equation true. 7. (7 + 43) ÷ 5 = 10 8. 3 + (5 * (2 + 6)) = 43 9. -2 + (3 x 4) = 10 OR 3 + 5 x (2 + 6) = 43 7g. Understand and apply the use of parentheses in number sentences. 1 2 3 1 2 3 Solve. 10. (-9) + (-6) = -15 12. (-8) – (-5) = 11. 16 + (-5) = 11 -3 7d. Add and subtract positive and negative numbers. 1 2 3 1 2 3 Write >, <, or =. 13. -4 < 3 14. -12 < -10 16. -8 = 5 + (-13) 17. –4 + (-4) > 15. 37 -11 7h. Order and compare positive and negative numbers. > -42 18. 12 + (-6) > 1-2 3-4 5-6 1 2 3 19. Circle all of the true number sentences. 14 + 25 < 50 6x6 2 * 10³ 21 + 39 = 60 11 * 11 * 11 = 33 19 7f. Identify number sentences. Tell whether a number sentence is true or false. 0-2 3-4 5-6 1 2 3 -15 Level 4 Opportunities 7e., 7a. and 7b. All must be correct – compare, <, >, = 73 ___<___ 6 x 102 100,000 ___<___ 8 x 105 103 ___>___ 252 7c. Order of Operations 6 x (3 + 2)2 ÷ 2 = 75 7g. Parentheses 36 + 18 ÷ (9 – 6) – 4 = 38 7d. Add and subtract positive and negative numbers. (9 + (-6)) – ((-4) + 2) = 5 7h. Order and compare positive and negative numbers. -5 + 20 ÷ 5 ___>___ -2 + 3 x 4 7f. Give an example of a true number sentence and explain what makes a number sentence. SA