Finance Unit

1.5 Order in Calculations/Evaluating Formulas

Simplify each expression. Show each step one at a time.

  1. \(7-24 \div 3 \times 4+6\)

    \(7-8 \times 4+6\)

    \(7-32+6\)

    \(-25+6\)

    \(-19\)

  2. \(20(3+7)\)

    \(20(10)\)

    \(200\)

  3. \(12+4^{2}\)

    \(12+16\)

    \(28\)

  4. \(6\left(5-3\right)^{2}\)

    \(6\left(2\right)^2\)

    \(6(4)\)

    \(24\)

  5. \(200 \times(1+0.04 / 12)^{5 \times 12}\)

    \(200 \cdot\left(1+\frac{1}{300}\right)^{60}\)

    \(200 \cdot\left(\frac{301}{300}\right)^{60}\)

    \(200 \cdot 1.2210\)

    \(244.20\)

  6. \(50 \times \frac{\left[(1+0.05 / 12)^{12 \times 10}-1\right]}{(0.05 / 12)}\)

    \(7764.11\)

  7. \(\frac{180000 \times(0.065 / 12)}{\left[1-(1+0.065 / 12)^{(-12 \times 15)}\right]}\)

    \(1567.99\)

  8. \(\pi(8)^{2}\)

    \(64 \pi\)

    \(201.0619\)

  9. \(\frac{4}{3} \pi(7.5)^3\)

    \(\frac{4}{3} \pi \left(421.875\right)\)

    \(562.5 \pi\)

    \(1767.1459\)

  10. \(\frac{1}{2} \times 15(3.2+10.8)\)

    \(\frac{1}{2} \times 15(14)\)

    \(7.5 \cdot 14\)

    \(105\)