To find the value of y in the equation 402y = 102ten, we need to solve for y.
First, let's simplify the equation. We can start by dividing both sides of the equation by 402 to isolate y on one side.
402y / 402 = 102ten / 402
Simplifying further, we get:
y = 102ten / 402
To evaluate 102ten / 402, we can break it down into two steps.
Step 1: Evaluate 102ten To evaluate 102ten, we need to convert the base of the number to the base 10. Since "ten" is another way of saying base 10, we can rewrite 102ten as 10210.
So, 102ten = 10210
Step 2: Divide 10210 by 402 Now, we can divide 10210 by 402:
10210 รท 402 = 25
Therefore, y = 25.
The correct answer is 5.
