SOLUTION: I'm a 5th grader stuck on a question. This is the problem. The product of .4 and another decimal is greater than .3 but less than .4. What are the least and greatest decimal to t

Question 335016: I'm a 5th grader stuck on a question. This is the problem. The product of .4 and another decimal is greater than .3 but less than .4. What are the least and greatest decimal to the nearest hundreth for the other factor? Please help. Thanks.
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I'm a 5th grader stuck on a question. This is the problem.
The product of .4 and another decimal is greater than .3 but less than .4.
What are the least and greatest decimal to the nearest hundreth for the other factor? Please help. Thanks.
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Can you solve the following?
0.3 < 0.4x < 0.4
------------
Divide each piece of the inequaltiy by 0.4 to get:
(0.3/0.4) < (0.4x/0.4) < (0.4/0.4)
-----
0.75 < x < 1
---
The "other" factor is greater than 0.75 and less than 1.
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Cheers,
Stan H.
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Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

If you are going to restrict your available numbers to the nearest 100th, then the smallest number that is greater than 0.30 is 0.31 while the greatest number that is less than 0.4 is 0.39.

Consequently, multiplying by 0.4, you either get 0.4 X 0.31 = 0.124 on the low end or 0.4 X 0.39 = 0.156 on the high end.

John

My calculator said it, I believe it, that settles it

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