Integer Practice: Division 1. 9 ÷ (-3) 2. -3 ÷ 3 3. -8 ÷ (-2) 4. 13 ÷ 1 -3 -1 4 13 5. -6 ÷ (-1) 6. -16 ÷ 4 7. 8 ÷ (-4) 8. 4 ÷ (-4) 6 -4 -2 -1 9. -20 ÷ 4 10. -81 ÷ 9 11. -35 ÷ (-5) 12. -15 ÷ (-5) -5 -9 7 3 13. -12 ÷ 3 14. 0 ÷ (-2) 15. -30 ÷ (-3) 16. -40 ÷ 5 -4 0 10 -8 17. -18 ÷ (-2) 18. -27 ÷ 9 19. -24 ÷ 3 20. 63 ÷ (-9) 9 -3 -8 -7
Multiplying/Dividing Radicals Multiplying/Dividing
Multiplying/Dividing Radicals The rules are simple: multiply/divide everything outside the radicals together and multiply/divide everything inside the radicals together. Ex: 3 8 𝑥 4 𝑦 6 ∙ 2 4 𝑥 3 𝑦 3 6 32 𝑥 7 𝑦 9 24x3y4 2𝑥𝑦 Ex: 3 18 𝑥 2 𝑦 9𝑥 9𝑥 2𝑦 9𝑥 2𝑦
The Exception Try not to end with a radical in your denominator. If you have a radical in your denominator, multiply the entire expression by 1 using the radical as both the numerator and denominator. For example… 3 2 2 75 (multiply expression by 75 75 , which equals 1) 3 2 2 75 ∙ 75 75 = 3 150 150 3 150 150 = 3 25 ∙ 6 150 = 15 6 150 15 6 150 = 6 10
Practice 5. 5 40 2 4 6. 4 10 6 4 15 3 7. 2 3𝑥 2 2 3 x 8. 10 𝑦 2 𝑧 4 2 5𝑥 𝑦 𝑧 2 2𝑥 2𝑥 Simplify the following radicals. 1. 3 ∙ 15 3 5 2. 10𝑥 ∙ 5 𝑥 3 5x2 2 3. 2𝑥 𝑦 2 ∙ 10𝑥𝑦 2xy 5𝑦 4. 5 3 𝑥 3 ∙ 3 𝑦 4 15xy2 𝑥