How is one hundred fifty thousand expressed in scientific notation?

To express one hundred fifty thousand in scientific notation, we first need to break down the number. The standard form of one hundred fifty thousand is written as 150,000.

In scientific notation, a number is typically expressed in the form ( a \times 10^n ), where ( a ) is a number greater than or equal to 1 and less than 10, and ( n ) is an integer that represents the power of ten.

For the number 150,000:

1. We can rewrite 150,000 as ( 1.5 \times 100,000 ).

2. Since 100,000 can be expressed as ( 10^5 ), we can substitute that into our equation:

[

1.5 \times 100,000 = 1.5 \times 10^5.

]

This matches the required format where ( a = 1.5 ) (which is between 1 and 10) and ( n = 5 ).

Therefore, the correct expression of one hundred fifty thousand in scientific notation is ( 1.5 \times 10^5 ).

This highlights that the other options do not fit