Mr. Kone Math Hub · Review sheet

Scientific Notation

Unit 2: Exponents & Scientific Notation · NY-8.EE.3, NY-8.EE.4

Notes

Moving the decimal. If you move the decimal left, n is positive (large numbers). If you move it right, n is negative (small numbers). When multiplying, multiply the decimals and add the exponents, then restore 1 ≤ |a| < 10.

Vocabulary

• scientific notation: A × 10^n where 1 ≤ |A| < 10 and n is an integer.

Practice (no calculator unless marked)

1. Which expression is equivalent to 4⁻⁵ × 4⁸?
   • A. 4⁻² / 4⁻¹
   • B. (4³)⁻¹
   • C. 4² / 4⁻¹
   • D. (4⁻¹)³
2. Which expression has a value of 1/16?
   • A. (4)⁻¹
   • B. (4)⁻²
   • C. (8)⁻²
   • D. (−8)⁻²
3. Which equation is always true?
   • A. x² · x³ = x⁵
   • B. 3x · 3² = 9²ˣ
   • C. 2z² = z²
   • D. 7ᵃ · 7ᵇ = 7ᵃᵇ
4. Which expression is equivalent to 4⁻⁵ × 4⁸?
   • A. 4⁻² / 4⁻¹
   • B. (4³)⁻¹
   • C. 4² / 4⁻¹
   • D. (4⁻¹)³
5. Which expression has a value of 1/16?
   • A. (4)⁻¹
   • B. (4)⁻²
   • C. (8)⁻²
   • D. (−8)⁻²
6. Which equation is always true?
   • A. x² · x³ = x⁵
   • B. 3x · 3² = 9²ˣ
   • C. 2z² = z²
   • D. 7ᵃ · 7ᵇ = 7ᵃᵇ
7. Which expression is equivalent to 4⁻⁵ × 4⁸?
   • A. 4⁻² / 4⁻¹
   • B. (4³)⁻¹
   • C. 4² / 4⁻¹
   • D. (4⁻¹)³
8. Which expression has a value of 1/16?
   • A. (4)⁻¹
   • B. (4)⁻²
   • C. (8)⁻²
   • D. (−8)⁻²