Roughly, it takes light less than 0.000000003 of a second to travel a one-meter distance. Express this number in the form of a×10^n where 1<a<10 and is a one-digit number.
To express the number in the form of a×10^n, we need to move the decimal point 9 places to the left since it takes less than 0.000000003 of a second for light to travel a one-meter distance.
0.000000003 can be written as 3 × 10^(-9).
Therefore, in the form of a×10^n, the number is 3 × 10^(-9).
To express a number in the form of a×10^n, where 1<a<10 and a is a one-digit number, we need to convert the given number into scientific notation.
We are given that it takes light less than 0.000000003 seconds to travel a one-meter distance. To convert this number into scientific notation, we count the number of decimal places until there is a nonzero digit to the left of the decimal point.
In this case, there are 9 decimal places before the first nonzero digit "3". So, we can express the number as 3.0 × 10^(-9).
However, based on the requirement that a should be a one-digit number and 1<a<10, we need to adjust the number to fit this criteria.
Since we have 3.0 × 10^(-9), we can write it as 3 × (10^(-9))/10. By simplifying this, we get 3 × 10^(-10).
So, the number expressed in the required form is 3 × 10^(-10), where a = 3, and n = -10.
To express the number in the form of a×10^n where 1 < a < 10 and a is a one-digit number, we need to convert the given value into scientific notation.
The expression 0.000000003 is already in decimal form. We need to shift the decimal point to the right until there is a single non-zero digit to the left of the decimal point.
In this case, we will move the decimal point 9 places to the right:
0.000000003 becomes 3.00000000
Since we moved the decimal point 9 places, we have 10^(-9).
Therefore, the number can be expressed as 3.00000000 × 10^(-9).