1.3.4.1: Exercises

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Leah Griffith, Veronica Holbrook, Johnny Johnson & Nancy Garcia
Rio Hondo College

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Section 1.3.4.1 Exercises

Evaluate each expression using the Order of Operations.
1. 9 – 2 \(\cdot\) 3 + 5
2. 52 ÷ 4 + 2
3. 52 + 4 ÷ 2
4. \( 6(3+5)^2\)
5. \(5+2(1+4)^3\)
6. \( 14 – 3(8 – 5) \)
7. \( 6[3(4) – 2(5)] \)
8. \(2 \cdot 2^4+ 25 \div 5-3^2\)
9. \(2 + 5[8 – 2(4 – 1)]\)
10. \(\dfrac{5+5(3)}{16-12} \)
11. \(\dfrac{52}{3+ 10} \)
12. \(\dfrac{9 + 11}{8 - 4}
13. 5 + 12 ÷ 4 \(cdot\) 2 – 8
14. 24 – 3 \(\cdot\) 2\(^4\)
15. 10 – (20 – 4 \(\cdot\) 2) ÷ 3
16. 3 \(\cdot\) 2\(^4\) - 5\(^2\)
17. \(\dfrac{72}{2^3 - 2^2}\)
18. 32 ÷ (6 – 2) \(\cdot\) 5
Do any of the expressions have the same value?
1. 20(100 – 2)
2. 20 \(\cdot\) 100 – 2
3. 20 \(\cdot\) 98
4. 20(2 – 100)
Evaluate the formula for the given values.
1. d = rt for r = 15 and t = 4.5
2. \(F = mv^{\frac{2}{r}}\) for m = 250, v = 30, and r = 120
3. A = (t₁ + t₂ + t₃)/3 for t₁ = 72, t₂ = 85, and t₃ = 81
Approximate the value of the Golden Mean, \(\dfrac{1+\sqrt{5}}{2} \), rounded to the nearest hundredth.
Approximate \(\dfrac{1}{\sqrt{60}}\). Round to three decimal places, if needed.
Approximate \(\sqrt{\dfrac{20736}{18}}\). Round to three decimal places, if needed.