Question
An expression is shown.
(7.6 × 10^3)(4.01 × 10^2) + (6.54 × 10^5)
Which expression is equivalent?
Responses
A (5.5 × 10^3)(7.4 × 10^3)(5.5 × 10 3 )(7.4 × 10 3 )
B (4.30 × 10^3)(7.03 × 10^3)(4.30 × 10 3 )(7.03 × 10 3 )
C (5.0 × 10^3)(7.4032 × 10^3)(5.0 × 10 3 )(7.4032 × 10 3 )
D (5.0 × 10^3)(7.4032 × 10^2)
(7.6 × 10^3)(4.01 × 10^2) + (6.54 × 10^5)
Which expression is equivalent?
Responses
A (5.5 × 10^3)(7.4 × 10^3)(5.5 × 10 3 )(7.4 × 10 3 )
B (4.30 × 10^3)(7.03 × 10^3)(4.30 × 10 3 )(7.03 × 10 3 )
C (5.0 × 10^3)(7.4032 × 10^3)(5.0 × 10 3 )(7.4032 × 10 3 )
D (5.0 × 10^3)(7.4032 × 10^2)
Answers
GPT-5 mini
First multiply: (7.6×10^3)(4.01×10^2) = 30.476×10^5.
Add the second term: 30.476×10^5 + 6.54×10^5 = 37.016×10^5.
Write 37.016×10^5 as (5.0×10^3)(7.4032×10^2) because 5.0·7.4032 = 37.016 and 10^3·10^2 = 10^5.
So choice D is correct.
Add the second term: 30.476×10^5 + 6.54×10^5 = 37.016×10^5.
Write 37.016×10^5 as (5.0×10^3)(7.4032×10^2) because 5.0·7.4032 = 37.016 and 10^3·10^2 = 10^5.
So choice D is correct.