Question

The sun is about 93 million miles from the earth. Express this distance in scientific notation. A) 0.93 x 10^8 B) 9.3 x 10^7 C) 9.3 x 10^6 D) 93 x 10^6

Answer 1

B.) 9.3 × 10^7

Explanation:

The decimal point is to the right of the last zero, so move it to the left until you get in between the 9 and 3, so that there is only one digit to the left. That's 7 spaces, so your answer will be 9.3×10^7.

Scientific notation will always be written as a number×10 raised to a power.

The number will be between 1 and 10. In case you ever have a scenario when your decimal moves the other way, the exponent then would be negative. For now your exponent is positive.

Answer 2

Answer: 9.3 ×
`10^(7)`

Explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point.

In this case, we can write 93,000,000 as 9.3000000 and notice that there is only one digit to the left of the decimal point.

Next, we count the number of places the decimal point would need to move to get back to the original number which is 93,000,000.

Since we will need to move the decimal point seven places to the left, we have an exponent of positive 7. Our exponent will be positive because we need to move the decimal point seven places to the right. Now, we can write our number in scientific notation.

9.3 ×
`10^(7)`