(1.143 × 10¹) is 12.7 times larger than (9 × 10⁻¹). The correct option is the last option 12.7
From the question, we are to determine the factor by which 1.143 × 10¹ is larger than 9 × 10⁻¹
To determine how many times larger the number is, we will divide 1.143 × 10¹ by 9 × 10⁻¹
Carrying out the division operation
(1.143 × 10¹) ÷ (9 × 10⁻¹)
= (1.143 ÷ 9) × (10¹ ÷ 10⁻¹)
= (1.143 ÷ 9) × (10¹ ÷ 10⁻¹)
= 0.127 × (10¹ ⁻ ⁽⁻¹⁾)
= 0.127 × (10¹ ⁺ ¹)
= 0.127 × (10²)
= 0.127 × 10²
= 12.7
Hence, (1.143 × 10¹) is 12.7 times larger than (9 × 10⁻¹). The correct option is the last option 12.7
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