Question

When a whole number is multiplied by a decimal smaller than one, what can you conclude about the result?
A) The resulting number is the original.
B) The resulting number is always less than 1.
C) The resulting number is larger than the original.
D) The resulting number is smaller than the original.

Answer 1

Answer:

The answer is D

Step-by-step explanation:

1. 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

Answer 2

The product of a whole number and a number less than one is required.

D) the resulting number is smaller than the original.

The product of a whole number and a number less than one can be written as

$x\times n\times 10^{-1}$

where $n$ is any number between 1 and 9.

So, no matter what number $n$ is the product of a whole number and a number less than one is always less than the original number.

Let us take a few examples

$20\times 2\times 10^{-1}=20\times 0.2=4$

$20\times 8.99\times 10^{-1}=20\times 0.899=17.98$

and so.

Hence, correct option is D) the resulting number is smaller than the original.

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