How do you write 85, 100 in scientific notation?

Answer 1

To write the number 85,100 in scientific notation, you need to express it in the form of \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.

1. Move the decimal point in 85,100 so that there's only one non-zero digit to the left of the decimal. This gives us 8.51.
2. Count how many places you moved the decimal point. In this case, you moved it 4 places to the left.
3. Therefore, you write it as \( 8.51 \times 10^4 \).

Thus, the scientific notation for 85,100 is \( 8.51 \times 10^4 \).

Answer 2

How do you write 230 in scientific notation?

Answer 3

To write the number 230 in scientific notation, follow these steps:

1. Move the decimal point so that there is only one non-zero digit to the left of the decimal. For 230, this gives us 2.30.
2. Count how many places you moved the decimal point. In this case, you moved it 2 places to the left.
3. Therefore, you write it as \( 2.30 \times 10^2 \).

So, the scientific notation for 230 is \( 2.30 \times 10^2 \).

Answer 4

How do you write 31,700 in scientific notation?

Answer 5

To write the number 31,700 in scientific notation, follow these steps:

1. Move the decimal point so that there is only one non-zero digit to the left of the decimal. For 31,700, this gives us 3.17.
2. Count how many places you moved the decimal point. In this case, you moved it 4 places to the left.
3. Therefore, you write it as \( 3.17 \times 10^4 \).

So, the scientific notation for 31,700 is \( 3.17 \times 10^4 \).