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Which of these statements are true? Select all that apply. CalcSelect Multiple AnswersA(6×10−5)÷(3×10−1)=2×105(6×10−5)÷(3×10−1)=2×105(6×10 −5 )÷(3×10 −1 )=2×10 5 B(1×10−5)+(5×10−5)=6×10−10(1×10−5)+(5×10−5)=6×10−10(1×10 −5 )+(5×10 −5 )=6×10 −10 C8+(5×10−3)=8.0058+(5×10−3)=8.0058+(5×10 −3 )=8.005DWhen (1×10−5)2(1×10−5)2(1×10 −5 ) 2 is evaluated, the result is 1×10−101×10−101×10 −10

Question

Which of these statements are true? Select all that apply. CalcSelect Multiple AnswersA(6×10−5)÷(3×10−1)=2×105(6×10−5)÷(3×10−1)=2×105(6×10 −5 )÷(3×10 −1 )=2×10 5 B(1×10−5)+(5×10−5)=6×10−10(1×10−5)+(5×10−5)=6×10−10(1×10 −5 )+(5×10 −5 )=6×10 −10 C8+(5×10−3)=8.0058+(5×10−3)=8.0058+(5×10 −3 )=8.005DWhen (1×10−5)2(1×10−5)2(1×10 −5 ) 2 is evaluated, the result is 1×10−101×10−101×10 −10

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Solution

The statements that are true are:

A. (6×10−5)÷(3×10−1)=2×10^4 This is true because when you divide numbers in scientific notation, you subtract the exponents of the 10s. So, -5 - (-1) = -4. The division of the numbers 6 and 3 gives 2. So, the result is 2×10^4.

C. 8+(5×10−3)=8.005 This is true because 5×10−3 is equal to 0.005. When you add this to 8, you get 8.005.

D. When (1×10−5)^2 is evaluated, the result is 1×10−10 This is true because when you square a number in scientific notation, you double the exponent. So, the exponent of -5 becomes -10. The square of 1 is still 1. So, the result is 1×10^−10.

The statement B is not true. When you add numbers in scientific notation with the same exponent, you add the numbers and keep the same exponent. So, (1×10−5)+(5×10−5) should equal 6×10^−5, not 6×10^−10.

This problem has been solved

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