Evaluate 10𝑎 divided by two given that 𝑎 equals four.
Here’s our expression we’re told to evaluate: 10𝑎 divided by two. It’s important to remember that when you see a letter right next to a number, there is an implied multiplication. So 10𝑎 means 10 times 𝑎, divided by two.
We know that our 𝑎 value is four. We plug in the four. We replace the 𝑎 with the four. And now we’re trying to say 10 times four divided by two. Moving from left to right as we multiply and divide, we would first want to multiply 10 times four. 10 times four equals 40.
The rest of the problem we copy down exactly as it’s written, divided by two. Again moving from left to right, we’re left with 40 divided by two. And 40 divided by two, 40 put in two groups, is equal to 20.
Given that 𝑎 equals four, 10𝑎 divided by two would be equal to 20.