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3 years ago

When a whole number is multiplied by a decimal smaller than one, what can you conclude about the result?

Mathematics

2 answers:

galben [10]3 years ago

5 0

Answer:

the answer is d

Step-by-step explanation:

When you multiply a whole number by a decimal less than one, you are taking a fraction of the whole number. The resulting number is smaller than the original.

Sophie [7]3 years ago

3 0

Answer:

The answer is D

Step-by-step explanation:

The resulting number is smaller than the original. This is true because if you take 20 times 0.5 it will equal ten. A decimal is pretty much a fraction in another form.

The reason why A is false is because if the number isn't being multiplied by 1 then it can't stay the same.

The reason why B is false is because that is not true as in the example above, 20 times 0.5, it equaled 10 and not less than one.

The reason why C is false is because the the resulting number simply cannot be higher than the original when being multiplied by a decimal smaller than 1.

Hope this helps

- Que

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Vinvika [58]

I mean based on your possible answers, the third one is correct,but you can go further that that, in the steps i will note when you've came to the "answer"

$\frac{x + 2}{ {x}^{2} - 3x - 10 } \times \frac{x - 3}{ {x}^{2} + x - 12 }$
$\frac{x + 2}{ {x}^{2} + 2x - 5x - 10 } \times \frac{x - 3}{ {x}^{2} + 4x - 3x - 12 }$
$\frac{x + 2}{x(x + 2) - 5(x + 2)} \times \frac{x - 3}{x(x + 4) - 3(x + 4)}$
$\frac{x + 2}{(x + 2) \times (x - 5)} \times \frac{x - 3}{(x + 4) \times (x - 3)}$
$\frac{1}{(x + 4) \times (x + 5)}$
and basically that's the "answer", but you can simplify more.

$\frac{1}{ {x}^{2} + 4x - 5x - 20}$
$\frac{1}{ {x}^{2} - x - 20 }$
Hope that's helpful

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3 years ago