Write 8,350,000,000 in scientific notation.
a) 8.35 × 10−9
b) 8.35 × 109
c) 835 × 10−7
d) 835 × 107
b) 8.35 × 109
To write 8,350,000,000 in scientific notation, we need to move the decimal point to the right until there is a single digit to the left of the decimal point.
Starting with 8,350,000,000, we can move the decimal point 9 places to the left to get 8.35.
Since we moved the decimal point 9 places to the left, the exponent will be -9.
Therefore, the correct scientific notation for 8,350,000,000 is:
a) 8.35 × 10^9
To write 8,350,000,000 in scientific notation, we need to express it as a number between 1 and 10, multiplied by a power of 10.
Starting with 8,350,000,000, we can move the decimal point to the left until we have a number between 1 and 10.
By moving the decimal point 9 places to the left, we get 8.35.
Now, we need to determine the power of 10. Since we moved the decimal point 9 places to the left, we have to multiply by 10^9 to compensate for the decimal point movement.
Therefore, the correct scientific notation for 8,350,000,000 is 8.35 × 10^9.
So the answer is b) 8.35 × 10^9.