Question

which values are written in proper scientific notation? check all that apply. -350 -350.00 -3.50 × 10⁴ 0.000350 3.50 × 10⁴ 3.50 × 10⁻⁴ 35.0 × 10⁻⁵ 3,500 done

Explanation:

Step1: Recall scientific notation rules

Scientific notation is in the form \( a \times 10^n \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer.

Step2: Analyze each option

• \(-350\): Not in scientific notation (no \( 10^n \) term, \( |a| = 350 \geq 10 \)).
• \(-350.00\): Not in scientific notation (no \( 10^n \) term, \( |a| = 350 \geq 10 \)).
• \(-3.50 \times 10^4\): \( |a| = 3.50 \) (between 1 and 10), \( n = 4 \) (integer). Proper.
• \( 0.000350\): Not in scientific notation (no \( 10^n \) term, \( |a| = 0.00035 < 1 \)).
• \( 3.50 \times 10^4\): \( |a| = 3.50 \) (between 1 and 10), \( n = 4 \) (integer). Proper.
• \( 3.50 \times 10^{-4}\): \( |a| = 3.50 \) (between 1 and 10), \( n = -4 \) (integer). Proper.
• \( 35.0 \times 10^{-5}\): \( |a| = 35.0 \geq 10 \). Not proper.
• \( 3,500\): Not in scientific notation (no \( 10^n \) term, \( |a| = 3500 \geq 10 \)).

Answer:

• \(-3.50 \times 10^4\)
• \(3.50 \times 10^4\)
• \(3.50 \times 10^{-4}\)