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Name Class 1-4 Date Properties of Real Numbers Use the list below to complete the graphic organizer. Associative Property of Multiplication Commutative Property of Addition Identity Property of Addition Identity Property of Multiplication Multiplication Property of –1 Zero Property of Multiplication Addition Multiplication Commutative Property of Multiplication a×b=b×a a+b=b+a Associative Property of Addition (a + b) + c = a + (b + c) (a × b) × c = a × (b × c) a×1=a a+0=a a×0=0 –1 × a = –a Real Numbers Rational Numbers Can be written as fractions. Terminating Decimals Repeating Decimals - ½, .222, 1, 2, 2/3, 5/4, 6.1 Natural Numbers, their opposites, and zero. -3, -2, -1, 0, 1, 2, 3, … Natural Numbers and Zero. 0, 1, 2, 3, … Integers Whole Numbers Natural Numbers Counting Numbers 1, 2, 3, … Irrational Numbers Decimals that neither repeat nor terminate Imperfect Squares π , 2 Simplify each expression. 1. 81 2. 121 3. 169 4. 25 81 5. 225 169 6. 1 625 7. 0.64 8. 0.81 9. 6.25 Estimate the square root. Round to the nearest integer. 10. 10 11. 15 12. 38 13. 50 14. 16.8 15. 37.5 Find the approximate side length of each square figure to the nearest whole unit. 16. a rug with an area of 64 ft2 17. an exercise mat that is 6.25 m2 Name the subset(s) of the real numbers to which each number belongs. 18. 12 18 22. 5564 19. 5 23. 13 20. 21. 2 24. 4 25. 61 3 Compare the numbers in each exercise using an inequality symbol. 26. 81, 121 27. 27 , 1.7781356 17 Order the numbers from least to greatest. 29. 1.875, 64, 121 30. 4 0.8711, , 1.3 5 Name the property that each statement illustrates. 31. 12 + 917 = 917 + 12 32. 74.5 · 0 = 0 33. 35 · x = x · 35 34. 3 · (1 · p) = 3 · (p) 35. m + 0 = m 36. 53.7 · 1 = 53.7 28. 14 , 0.8711 15