"Best Practice Questions to Solve and Prepare for Your Examination"

                                Questions from a Student needing assistance. Below are the solutions.You can also pose your questions on number theory or otherwise and your solutions will be provided.

Question 1.

a)   (5³)²±³

b)  (3×4)³

c)  5°

 Question 2

a)   write 324 as a product of its prime factors.

b)  write 129753000 in scientific notation .

c)    calculate the final amount that Pam will have in her investment account if she invest R600 for 5 years at rate of 6% per annum simple interest. A

                                  Solution

Question 1.

a)    a  (5³)^2±3

(5³)²⁺³   and   (5)^2-3

Solve these two problems separately. Right hand side first (RHS) and left hand side next (LHS)

LHS: (5³)²⁺³= (5³)⁵

        (5³)²⁺³= 5¹⁵ = 1.113263577 answer

RHS: (5³)^2-3 = (5³)^-1

               (5³)^2-3 = 5^-3

          (5³)^2-3 =   1 =   1

                          5³    125

          (5³)^2-3 = .008 answer

      b)  (3×4)³= 12³

            (3×4)³ = 1728 answer.

  c)        5⁰= 1 answer.

Question 2.

a)      324= 2×2×3×3×3×3

324 = 2²×3⁴ answer.

b)      129753000= 1.29753×10

c)       Amount(A)= Principal(P) + simple interest(SI)

 Or   A= P+I

  You will calculate Simple interest and substitute in the formula for amount above.

 P= 600, Rate(R)= 6%, Time =5years.

Simple Interest (SI)= Principal × Rate × Time.

SI= 600× 6% ×5

SI= 600 × 6 × 5

                100

SI=  R180

Amount = R600+R180

Final Amount = R780.