Question

Mark used a number line to model dividing 2 3 by 3. He divided the number line from 0 to 1 in 3 equal sections, and then divided each of those sections into 2 equal parts. Mark says 2 3 ÷ 3 is 1 3 . Is his answer correct? Explain why or why not.

Answer 1

sample responce:No, he is incorrect. Using a number line to model thirds means that each space that is 1/3 should be divided into 3 parts, not 2 parts. 6 parts divided into 3 groups gives 2 parts out of 9 parts total, so the answer is 2/9.

Answer 2

Answer:

No, his answer is not correct.

Step-by-step explanation:

Given expression,

$\frac{2}{3}\div 3$

$=\frac{\frac{2}{3}}{3}$

$=\frac{2}{3\times 3}$

$=\frac{2}{9}$

Thus, his answer is not correct.

By model :

Draw number line from 0 to 1 in 3 equal section,

Then divided each of those sections into 3 equal parts,

We get,

$\frac{2}{3}\div 3=\frac{2}{9}$