Name: Date: Lesson 1.5 Cubes and Cube Roots Multiply. 1. 1 3 1 3 1 5 2. 2 3 2 3 2 5 3. 3 3 3 3 3 5 4. 4 3 4 3 4 5 5. 5 3 5 3 5 5 6. 6 3 6 3 6 5 7. 7 3 7 37 5 8. 8 3 8 3 8 5 9. 9 3 9 3 9 5 10. 10 3 10 3 10 5 11. 11 3 11 3 11 5 12. 12 3 12 3 12 5 Find the cube of each number. Example 4 To find the cube of a number, multiply the number by itself three times. 4 543434 5 64 So, the cube of 4 is 64. 3 14. 16 153 5 3 3 163 5 5 So, the cube of 15 is 15. 17 30 3 3 5 . So, the cube of 16 is 16. 20 . © Marshall Cavendish International (Singapore) Private Limited. 13. 15 Chapter 1 Lesson 1.5 (M)MIF_G6A_RT_01.indd 30 5/19/11 5:29 PM Name: Date: Find the cube root of each number. Example 316 Method 1 6 3 6 3 6 5 216 So, 3 216 5 6. Method 2 To find the cube root of a number, you may use prime factorization, apply the Communicative Property of Multiplication, and rewrite the expression using an exponent. 216 2 · 108 2 · 2 · 54 216 5 2 · 2 · 2 · 3 · 3 · 3 5 (2 · 3) · (2 · 3) · (2 · 3) 5 (2 · 3)3 5 63 So, 3 216 5 2 · 3 5 6. 2 · 2 · 2 · 27 2 · 2 · 2 · 3 · 9 2 · 2 · 2 · 3 · 3 · 3 17. 3,375 Method 2 Method 1 3,375 5 3 © Marshall Cavendish International (Singapore) Private Limited. 3 3 5 (3 5) ( 5( 5 53,375 So, 3 3, 375 5 2,197 ) ( 3 19. 5,832 Reteach Course 1A (M)MIF_G6A_RT_01.indd 31 ) )3 So, 3 3, 375 5 18. 5 31 7/20/11 7:10 PM Name: Date: Simplify. 20. 3 3 4 1 (50 2 12) 21. 15 3 (36 4 9) 2 18 22. (52 2 30) 1 6 3 4 23. (18 1 82) 2 5 3 8 Find the value of each of the following. Example 24. 73 1 82 72 – 23 72 5 7 3 7 5 49 3 2 523232 58 2 7 2 23 5 49 2 8 5 41 73 5 7 3 3 5 82 5 8 3 5 73 1 82 5 + 25. (62 1 53) 3 32 26. 93 3 22 4 62 27. 83 1 42 28. 72 3 (33 2 32) 32 © Marshall Cavendish International (Singapore) Private Limited. 5 Chapter 1 Lesson 1.5 (M)MIF_G6A_RT_01.indd 32 5/19/11 5:29 PM
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