Which is the quotient of 1/4 ÷ 4? Use a number line to help. A number line shows zero, one-fourth, and one-half.

A.1/16
B.1/2
C.1
D.4
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B

To find the quotient of 1/4 ÷ 4, we can use the concept of division and represent it on a number line as follows:

Step 1: Start by placing "0" on the number line.

Step 2: Find the point on the number line that represents one-fourth. In this case, it will be located between "0" and "1/2".

Step 3: Divide the segment between "0" and one-fourth into four equal parts.

Step 4: Estimate the point that represents the result of 1/4 ÷ 4. Starting from one-fourth, divide the remaining three parts equally. The resulting point should represent the quotient.

By following the above steps, we can see that the resulting point on the number line will be located between zero and one-fourth. More specifically, it will be closer to zero.

Now, let's consider the answer choices:
A. 1/16: One-sixteenth is a much smaller fraction than the quotient we estimated on the number line between zero and one-fourth. Therefore, we can eliminate this option.
B. 1/2: One-half is greater than the quotient we estimated on the number line and doesn't match our estimation. So, this option can be eliminated as well.
C. 1: One is greater than the quotient we estimated on the number line and doesn't match our estimation. This option can also be ruled out.
D. 4: Four is greater than the quotient we estimated on the number line and doesn't match our estimation. So, this option is not correct either.

Therefore, the correct answer is none of the options provided.

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