The speed of light is about 671,000,000 miles per hour what is this number in scientific notation
The speed of light, approximately 671,000,000 miles per hour, can be expressed in scientific notation as 6.71 x 10^8 miles/hour.
To express a number in scientific notation, we need to write it in the form of A x 10^B, where A is a number between 1 and 10 (excluding 10 itself) and B is an integer.
Let's convert the speed of light, which is approximately 671,000,000 miles per hour, into scientific notation:
First, we determine the value of A by moving the decimal point to the left until it is positioned immediately to the right of the first non-zero digit. In this case, the first non-zero digit is 6, so we move the decimal point 6 places to the left:
671,000,000 → 6.71
Next, we count the number of decimal places we moved the decimal point. Since we moved it 8 places to the left, our value for B will be -8.
Putting it all together, the speed of light in scientific notation is:
6.71 x 10^(-8) miles per hour
To express the speed of light, which is approximately 671,000,000 miles per hour, in scientific notation, we need to move the decimal point 8 places to the left. This is because scientific notation represents a number as the product of a coefficient and a power of 10.
Moving the decimal point 8 places to the left gives us:
671,000,000 -> 6.71
To compensate for moving the decimal point, we multiply the coefficient by 10^8 (10 raised to the power of 8). So, the speed of light in scientific notation would be:
6.71 x 10^8 miles per hour