Question

If 0.36 x 4=1.4, how would your product be different if the factors were 0.36 and 0.4?

Answer 1

0.14 (It would be divided by 10).

Explanation:

Originally, our factors were 0.36 and 4. After modifying our problem, our factors are now 0.36 and 0.4. Comparing the original factors with the modified, we can see that there was no change done to 0.36. 4, on the other hand, has been divided by 10 (
`0.4 = \frac4{10}` ).

We can rewrite
`0.36 * 0.4` as
`0.36 * 4 * \frac1{10}`. Since we know 0.36 x 4 = 1.4, we can replace 0.36 x 4 with 1.4 in our modified problem, giving us
`1.4 * \frac1{10}`, which shows us that the product has now been divided by 10 as one of its factors was divided by 10.

Conclusion: Modifying one of the factors of a product using multiplication/division would also multiply/divide (respectively) the product by the same number.