Question

Diana calculated that she spent about 3.8 times 10^4 seconds doing her math homework during October. Enter this time in standard notation.

A) 38,000 seconds
B) 380,000 seconds
C) 3,800,000 seconds
D) 3.8 seconds

Answer 1

Diana spent 3.8 times 10^4 seconds on her math homework, which in standard notation is 38,000 seconds. This is done by moving the decimal point 4 places to the right in the scientific notation.

Step-by-step explanation:

Diana calculated that she spent about 3.8 times 10^4 seconds doing her math homework during October. To express this time in standard notation, we multiply the decimal by 10 raised to the power of 4. Moving the decimal point to the right 4 places gives us 38,000 seconds.

Convert the time in scientific notation to standard notation:

• 3.8 (this is the decimal number we start with)
• 3.8 times 10^4 (this represents the scientific notation Diana provided)
• 38,000 (after moving the decimal point 4 places to the right)

Therefore, the correct answer in standard notation is 38,000 seconds, which corresponds to option A.