The answer is:
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" 2.3 * 10^(19) " kg {dissolved salt in the Pacific Ocean} .
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Explanation:
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3.5 * 10⁻² * 6.6 * 10⁽²⁰⁾ = ? kg dissolved salt in the Pacific Ocean.
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→ 3.5 * 10⁻² * 6.6 * 10⁽²⁰⁾ = 3.5 * 6.6 * 10⁻² * 10²⁰⁾ ;
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Note the following property of exponents:
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xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ; so; 10⁻² * 10²⁰ = 10⁽⁻² ⁺ ²⁰⁾ = 10⁽ ¹⁸ ⁾ ;
→ So; we can rewrite our expression as:
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3.5 * 6.6 * 10⁽ ¹⁸ ⁾ ;
→ Note: 3.5 * 6.6 = 23.1 ---> Round to 2 (two) significant figures: 23 ;
Answer: 23 * 10⁽ ¹⁸ ⁾ ; to write in scientific notation; write the "whole number" as: "2.3" (a single digit, whole number integer, followed by a decimal", and adjust the exponent following the "10" accordingly, to make the value equal; and we have:
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" 2.3 * 10^(19) " kg {dissolved salt in the Pacific Ocean} .
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