The answer is: " 1.045 * 10¹⁰ " .
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Explanation:
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"5.5 million = 5,500,000 = 5.5 * 10 ⁶ " ;
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"1.9 thousand = 1,900 = 1.9 * 10³ " ;
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So; "5.5 million * 1.9 thousand" ;
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= (5.5 * 10 ⁶) * (1.9 * 10³) = 5.5 * 10⁶ * 1.9 * 10³ ;
= 5.5 * 1.9 * 10⁶ * 10³ ;
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Note the following properties of exponents:
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xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;
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As such, " 10⁶ * 10³ = 10⁽ ⁶ ⁺ ³⁾ = 10⁹ " ;
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So; rewrite:
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5.5 * 1.9 * 10⁶ * 10³ ;
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= 5.5 * 1.9 * 10⁹ ;
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5.5 * 1.9 = 10.45 ;
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Rewrite as: " 10.45 * 10⁹ " ;
In scientific notation, we need to rewrite as an single digit integer, followed by a decimal and other values (if applicable); following by * 10 raised to the appropriately adjusted exponential power.
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As such, we write the value as:
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" 1.045 * 10¹⁰ " .
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