University:
Felician University
Course:
MATH-002 | Basic Math Skills-Algebra
Academic year:

2023
Views:

160

Pages:

6
Author:

Clint W.

Pre-Algebra Chapter Practice Evaluate a = -2, b = 5 a³ + b² (-2)³ + 5² -8 + 25 = 17 p⁵/p³ = p⁵⁻³ = p² 5x⁴y³(-2x²y³) Multiply factors, then add exponents -10x⁶y⁶ [(p²)⁵]² Power to a power p²⁵² = p²⁰ Multiply exponents -28d³/7d¹⁸ = -4d³⁻¹⁸ -4d⁻¹⁵ = -4/d¹⁵ Move only factors with negative exponents into the denominator Chess board A = s² s = side = 3mn A = (3mn)² A = 9m²n² Multiply exponents Power to a power 7. 5.78 Read as 5 and 78 hundredths 5 78/100 = 5 39/50 8. a⁻⁶ = 1/a⁶ 9. -6x¹⁰ * x⁵ = -6x¹⁴ The exponents must add to equal 14 10. 8(0.00002) = 0.00016 Write in Scientific notation 0.00016 = 1.6 x 10⁻⁴ 11. 2.01 x 10⁵ = 201,000 12. (4.3 x 10²) (1.1 x 10⁻⁷) Multiply 4.3 x 1.1 = 4.73 Add exponents 4.73 x 10⁻⁵ 13. Neptune → Sun 4.5 x 10⁹ Venus → Sun 4.6 x 10⁷ ≈ 0.978 x 10² ≈ 98 times Write in Standard Form Change 46,000,000 to 4.6 x 10⁷ Divide 4.5 x 10⁹ / 4.6 x 10⁷ ≈ 0.978 Subtract exponents 10⁹ - 10⁷ = 10² 14. (3.61 x 10³) + (7.8 x 10²) To Add or Subtract in scientific notation, the exponents must be the same Steps: 1. Rewrite using the higher exponent 7.8 x 10² = 0.78 x 10³ Exponent ↑ Decimal ← 2. Line up decimals + add 3.61 + 0.78 ------- 4.39 3. Keep x 10³ Answer is in scientific notation 4.39 x 10³ 15. ∛512 = 8 8 x 8 x 8 = 512 16. A = 576 in² length of one side = √576 24 x 24 = 576 = 24 in 17. 7 7 x 7 x 7 = 343 343 < 345 ∛345 is greater π + √19 are not rational because they do not repeat or terminate as a decimal. Least to greatest: 5.4, 537/100, 5.09, √29 Change each to a decimal to compare: 5.40, 5.37, 5.09, 5.38 {5.09, 537/100, √29, 5.4} √56 ≈ 7.48 which is between 7 and 8, just about halfway between