What is the quotient?
(6 * 10^8) / (1.5 * 10^-4)
4 * 10^12
What is 1.3 repeating as a fraction?
Let x = 1.3 repeating.
Multiplying both sides by 10, we get:
10x = 13.3 repeating
Subtracting the left side from both sides of the equation, we get:
10x - x = 13.3 repeating - 1.3 repeating
Simplifying both sides, we get:
9x = 12
Dividing both sides by 9, we get:
x = 4/3
Therefore, 1.3 repeating as a fraction is 4/3.
The quotient refers to the result of dividing one number by another. In this case, you are asked to find the quotient of (6 * 10^8) divided by (1.5 * 10^-4).
To find the quotient, you can follow these steps:
1. Multiply the numerator (6 * 10^8) by the reciprocal of the denominator (1 / (1.5 * 10^-4)).
2. The reciprocal of a number is obtained by flipping the numerator and denominator. In this case, the reciprocal of (1.5 * 10^-4) is (1 / (1.5 * 10^-4)).
3. Simplify the reciprocal by dividing both the numerator and denominator by a common factor. In this case, we can divide both by 1.5 to simplify the reciprocal to (1 / (10^-4)).
4. Simplify the numerator, which is 6 * 10^8. To do this, multiply 6 by 10^8.
5. Simplify the denominator, which is 1 * 10^-4. To do this, rewrite 10^-4 as 1 / (10^4).
6. Now, we have (6 * 10^8) / (1 / (10^4)). To divide by a fraction, we can multiply by its reciprocal, so we have (6 * 10^8) * (10^4 / 1).
7. Multiply 6 by 10^8 to get the result for the numerator.
8. Multiply 10^4 by 1 to get the result for the denominator.
9. Simplify the result by multiplying the numerator and denominator.
10. Finally, express the result using appropriate scientific notation.
By following these steps, you can find the quotient of (6 * 10^8) divided by (1.5 * 10^-4).