Work out (47.6 × 10⁻⁵ × 13.7 × 10⁻¹)/(14.3 × 10⁻⁷) in standard form

Source: JAMB · 2024

Work out (47.6 × 10⁻⁵ × 13.7 × 10⁻¹)/(14.3 × 10⁻⁷) in standard form

  1. 4.56 × 10² ✓
  2. 4.56 × 10¹
  3. 7.22 × 10²
  4. 7.22 × 10¹
Explanation

Multiply the numbers: 47.6 × 13.7 = 652.12. Powers of 10 on top: 10⁻⁵ × 10⁻¹ = 10⁻⁶.

Divide by the bottom: 652.12 ÷ 14.3 ≈ 45.6. Powers of 10: 10⁻⁶ ÷ 10⁻⁷ = 10¹.

So the value is 45.6 × 10¹ = 456 = 4.56 × 10² in standard form.

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