,MATH 105N Final exam Quantitative Reasoning | Questions And
Answers 2026/2027 Chamberlain
1.** Convert 0.0000456 to scientific notation.
A) 4.56 × 10⁻⁵
B) 4.56 × 10⁵
C) 45.6 × 10⁻⁶
D) 4.56 × 10⁻⁴
**Correct Answer:** A) 4.56 × 10⁻⁵
**Rationale:** Move the decimal point 5 places to the right to get 4.56. Since
the original number is less than 1, the exponent is negative: 4.56 × 10⁻⁵.
**2.** Multiply: (3.0 × 10⁴) × (2.0 × 10⁵)
A) 6.0 × 10⁹
B) 6.0 × 10²⁰
C) 6.0 × 10⁴
D) 6.0 × 10⁵
**Correct Answer:** A) 6.0 × 10⁹
**Rationale:** Multiply the coefficients: 3.0 × 2.0 = 6.0. Add the exponents:
10⁴ × 10⁵ = 10⁹. Result: 6.0 × 10⁹.
**3.** Divide: (8.0 × 10⁶) ÷ (2.0 × 10³)
, A) 4.0 × 10³
B) 4.0 × 10⁹
C) 4.0 × 10²
D) 4.0 × 10⁶
**Correct Answer:** A) 4.0 × 10³
**Rationale:** Divide the coefficients: 8.0 ÷ 2.0 = 4.0. Subtract the
exponents: 10⁶ ÷ 10³ = 10³. Result: 4.0 × 10³.
**4.** Convert 7.89 × 10⁻³ to decimal notation.
A) 0.00789
B) 0.0789
C) 789
D) 0.000789
**Correct Answer:** A) 0.00789
**Rationale:** A negative exponent indicates the decimal moves left. 7.89 ×
10⁻³ = 0.00789.
**5.** The diameter of a red blood cell is approximately 0.0000075 meters.
Express this in scientific notation.
A) 7.5 × 10⁻⁶
B) 7.5 × 10⁶
C) 75 × 10⁻⁷
Answers 2026/2027 Chamberlain
1.** Convert 0.0000456 to scientific notation.
A) 4.56 × 10⁻⁵
B) 4.56 × 10⁵
C) 45.6 × 10⁻⁶
D) 4.56 × 10⁻⁴
**Correct Answer:** A) 4.56 × 10⁻⁵
**Rationale:** Move the decimal point 5 places to the right to get 4.56. Since
the original number is less than 1, the exponent is negative: 4.56 × 10⁻⁵.
**2.** Multiply: (3.0 × 10⁴) × (2.0 × 10⁵)
A) 6.0 × 10⁹
B) 6.0 × 10²⁰
C) 6.0 × 10⁴
D) 6.0 × 10⁵
**Correct Answer:** A) 6.0 × 10⁹
**Rationale:** Multiply the coefficients: 3.0 × 2.0 = 6.0. Add the exponents:
10⁴ × 10⁵ = 10⁹. Result: 6.0 × 10⁹.
**3.** Divide: (8.0 × 10⁶) ÷ (2.0 × 10³)
, A) 4.0 × 10³
B) 4.0 × 10⁹
C) 4.0 × 10²
D) 4.0 × 10⁶
**Correct Answer:** A) 4.0 × 10³
**Rationale:** Divide the coefficients: 8.0 ÷ 2.0 = 4.0. Subtract the
exponents: 10⁶ ÷ 10³ = 10³. Result: 4.0 × 10³.
**4.** Convert 7.89 × 10⁻³ to decimal notation.
A) 0.00789
B) 0.0789
C) 789
D) 0.000789
**Correct Answer:** A) 0.00789
**Rationale:** A negative exponent indicates the decimal moves left. 7.89 ×
10⁻³ = 0.00789.
**5.** The diameter of a red blood cell is approximately 0.0000075 meters.
Express this in scientific notation.
A) 7.5 × 10⁻⁶
B) 7.5 × 10⁶
C) 75 × 10⁻⁷
