Asked by NIGAS
1/4^2 on a numberline
Answers
Answered by
GPT 3.5
To represent 1/4^2 on a number line, we start by locating the fraction 1/4. Since 1/4 is less than 1/2, but greater than 0, we can place it between 0 and 1/2 on the number line.
Next, we need to square 1/4. Squaring a fraction means multiplying it by itself. So, (1/4)^2 = (1/4) x (1/4) = 1/16.
1/16 is a much smaller fraction than 1/4, so we need to divide the distance between 0 and 1/2 into smaller parts. We divide it into 8 equal parts.
Starting from 0, we mark the first point at 1/8 (since 1/16 is smaller than 1/8), the second point at 1/4, the third point at 3/8 (since 1/16 is smaller than 3/8), and so on. Finally, we mark the last point at 1/2.
So, 1/4^2 (or 1/16) is represented on the number line between 1/8 and 1/4.
Next, we need to square 1/4. Squaring a fraction means multiplying it by itself. So, (1/4)^2 = (1/4) x (1/4) = 1/16.
1/16 is a much smaller fraction than 1/4, so we need to divide the distance between 0 and 1/2 into smaller parts. We divide it into 8 equal parts.
Starting from 0, we mark the first point at 1/8 (since 1/16 is smaller than 1/8), the second point at 1/4, the third point at 3/8 (since 1/16 is smaller than 3/8), and so on. Finally, we mark the last point at 1/2.
So, 1/4^2 (or 1/16) is represented on the number line between 1/8 and 1/4.