BC Math 9 BEDMAS Operations

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• Operations with rational numbers
  (addition, subtraction, multiplication, division, and order of operations)

1. \frac{2}{3}+\frac{1}{2}
   Solution
   \frac{7}{6}
2. 3+\frac{3}{4}
   Solution
   \frac{15}{4}
3. 3 \frac{2}{3} is a mixed fraction. Write this fraction in the form \frac{a}{b}
   Solution
   \frac{11}{3}
4. 1.2\times 3.4
   Solution
   4.08
5. \frac{2}{3}\times \frac{4}{7}
   Solution
   \frac{8}{21}
6. 2\times \frac{3}{4}
   Solution
   \frac{3}{2}
7. \frac{3}{5}\div\frac{4}{5}
   Solution
   \frac{3}{4}
8. 2\div\frac{3}{5}
   Solution
   \frac{10}{3}
9. 3+2\times4-6
   Solution
   5
10. 0\div2
    Solution
    0
11. \frac{12}{2\times3}
    Solution
    2
12. 3^2+5(1-2)^3
    Solution
    4
13. 123\times456
    Solution
    56,088
14. 32.4\times1.27
    Solution
    41.148
15. -3^2
    Solution
    -9
16. -(-4)^2
    Solution
    -16
17. (-1)^{101}
    Solution
    -1
18. -3(-2)
    Solution
    6
19. 3\frac{2}{3}+\frac{4}{5}-1
    Solution
    \frac{52}{15} or 3\frac{7}{15}
20. \frac{2/3}{3/4}
    Solution
    \frac{8}{9}
21. 6\div2(1+2)
    Solution
    9
22. \left(\frac{3}{2}\right)^2
    Solution
    \frac{9}{4}
23. \sqrt{\frac{9}{64}}
    Solution
    \frac{3}{8}
24. -2\left(3-\frac{2}{3}\right)
    Solution
    -\frac{14}{3}
25. \sqrt{400}
    Solution
    20
26. \sqrt{-25}
    Solution
    Undefined
27. \sqrt{4}+\sqrt[3]{-8}
    Solution
    0
28. Express \frac{1230481}{3}
    1. As a mixed fraction
       Solution
       410,160\frac{1}{3}
    2. As a decimal number
       Solution
       410,160.\bar{3}
    3. As a percent
       Solution
       41,016,033.\bar{3}%
29. Express \frac{205713}{12} as a decimal number
    Solution
    17,142.75
30. Simplify as a fraction: 0.\bar{3}+(5-1.\bar{6})
    Solution
    \frac{11}{3}
31. Challenge:
    1. Convert 0.\bar{7} to a fraction
       Solution
       \frac{7}{9}
    2. Convert 2.0\bar{13} to a fraction
       Solution
       \frac{1993}{990} or 2 \frac{13}{990}
32. Round 23578 to the nearest thousand
    Solution
    24,000
33. Simplify \frac{12.4}{0.06} in the form \frac{a}{b}
    Solution
    \frac{620}{3}
34. \frac{8\div2}{4/3}
    Solution
    3
35. -\frac{3}{4}\div\frac{1}{5}+\left(-\frac{1}{3}\times-\frac{5}{2}\right)
    Solution
    -\frac{35}{12}
36. (-2^3)^2-(-1)^{130}\div\left(\frac{2}{3}\right)
    Solution
    \frac{125}{2}
37. 3(1-5)-\frac{(-3)^2}{-2^2}\left(2-(5-6)\right)
    Solution
    -\frac{21}{4}
38. What is \frac{1}{2}% of a billion?
    Solution
    5,000,000 i.e. 5 million
39. Enrichment:
    1. 0\div0
       Solution
       Undefined
    2. \infty-\infty
       Solution
       Undefined
       
       

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