Question

An astronomer estimated the distance from Earth to Mercury to be 5.7 × 107 miles, and the distance from Earth to Neptune to be 2.7 × 109 miles. He wanted to know how many times farther it is from Earth to Neptune than from Earth to Mercury. Consider his work. 1. (2.7 × 109) (5.9 × 107) 2. ( 3.0 6.0 ) ( 109 107 ) 3. 0.5 × 102 The astronomer concluded that the distance in miles from Earth to Neptune is 50 times the distance from Earth to Mercury. Is he correct? If not, what was his mistake? Yes, he is correct. No, the numerator and denominator need to be switched in the expression. No, he needed to round down in his estimation of the coefficients. No, he needed to multiply the coefficients.

Answer 1

Answer:

Yes, he is correct.

Step-by-step explanation:

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Answer 2

The astronomer is wrong, the numerator and denominator need to be switched in the expression.

How to solve exponential expression

• Distance from Earth to Mercury = 5.7 × 10^7 miles
• Distance from Earth to Neptune = 2.7 × 10^9 miles

Difference in distance = Distance from Earth to Neptune ÷ Distance from Earth to Mercury

= 2.7 × 10^9 ÷ 5.7 × 10^7

= 2.7 × 10^9 × 1 / 5.7 × 10^7

= 2.7 × 10^9 / 5.7 × 10^7

= (2.7 - 5.7) × 10^9-7

= -3 × 10² miles

Therefore, the astronomer is wrong,the numerator and denominator need to be switched in the expression.

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