When you divide a number that is cm^2 by another number that just cm, would the final answer have cm?
Like if I have 2cm^2 / 1 cm=2cm
its just like basic algebra if you were to take x^2/x what would you get? just x ^__^
and yes your answer is correct.
When you divide a number that has units of square centimeters (cm^2) by another number that has units of centimeters (cm), the final answer will not have units of centimeters. This is because when you divide two quantities with the same unit (in this case, cm), the units cancel out.
Here's the step-by-step explanation on how to get the answer without the units of centimeters:
1. Start with the original problem: 2cm^2 divided by 1cm.
2. Recall that when you divide two numbers, you can rewrite it as multiplying by the reciprocal of the second number. So, 2cm^2 / 1cm is the same as 2cm^2 * (1/cm).
3. Now, consider the units. When you multiply two numbers, the units multiply as well. So, the units of cm^2 multiply with the reciprocal of cm. This gives you cm^2 * (1/cm).
4. Recall that dividing cm^2 by cm simplifies to just cm. So, cm^2 * (1/cm) is equal to cm.
5. Finally, calculate the numerical value of 2cm, which is simply 2.
Therefore, the final answer is 2. The units of cm cancel out, and you are left with a dimensionless value.
So, the correct answer to 2cm^2 / 1cm is 2, without any units.