Respuesta :
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 [tex]3+ \frac{1}{10} [/tex], which is [tex]3 \frac{1}{10} [/tex]
Similarly 3.2 is [tex]3 \frac{2}{10} [/tex].
The multiplication of these 2 numbers is:
[tex](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[/tex]
Answer: [tex]3 \frac{1}{10} [/tex], [tex]3 \frac{2}{10} [/tex]
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 [tex]3+ \frac{1}{10} [/tex], which is [tex]3 \frac{1}{10} [/tex]
Similarly 3.2 is [tex]3 \frac{2}{10} [/tex].
The multiplication of these 2 numbers is:
[tex](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[/tex]
Answer: [tex]3 \frac{1}{10} [/tex], [tex]3 \frac{2}{10} [/tex]
