In division, is the quotient always greater than the numbers you started with?
*less than
10 / 0.1 = 100
When dividing two numbers, the quotient is not always greater than the numbers you started with. Whether the quotient is greater, smaller, or equal to the numbers being divided depends on the values of those numbers.
To better understand this concept, let's discuss a few scenarios:
1. Dividing a smaller number by a larger number: When you divide a smaller number by a larger number, the quotient will always be less than 1. For example, if you divide 1 by 2, the quotient is 0.5, which is less than both 1 and 2.
2. Dividing two numbers of the same magnitude: When you divide two numbers of the same magnitude, the quotient will always be 1. For example, if you divide 4 by 4, the quotient is 1.
3. Dividing a larger number by a smaller number: When you divide a larger number by a smaller number, the quotient will always be greater than 1. For example, if you divide 8 by 2, the quotient is 4, which is greater than both 8 and 2.
So, it is not accurate to say that the quotient is always greater than the numbers you started with. The relative sizes of the numbers being divided determines if the quotient is greater, smaller, or equal to the original numbers.