Question

Write two mixed numbers between 3 and 4 that have a product between 9 and 12

Answer 1

Consider 2 decimal numbers which are close to 3, like 3.1 and 3.2 .

They are both larger than 3, so their multiplication will be larger than 9. We keep them close to 3 so that the product is not larger than 12.

We may still fail, but we can check.


Now let's write the 2 decimal numbers as mixed numbers.

3.1 is $3+ \frac{1}{10}$, which is $3 \frac{1}{10}$

Similarly 3.2 is $3 \frac{2}{10}$.


The multiplication of these 2 numbers is:


$(3+ \frac{1}{10})\cdot (3+ \frac{2}{10}) =9+ \frac{6}{10}+ \frac{3}{10}+ \frac{2}{100}=9+0.6+0.3+0.02=9.92$



Answer: $3 \frac{1}{10}$, $3 \frac{2}{10}$

Answer 2

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