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3 years ago

This visual representation shows the sets of real numbers.

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

7 0

Answer:

All natural numbers are also whole numbers.

Step-by-step explanation:

Natural numbers are called counting numbers. They are numbers you can count. Although, Zero is not among them. Neither are negative numbers. Succinctly put, Natural numbers are numbers you can count with the exception of negative numbers and Zero.

Whole numbers are an extension of natural numbers. Unlike Natural numbers although, whole numbers contain Zero. Yet, like natural numbers, that do not contain negative numbers. As a result, we can call them counting numbers that includes Zero.

Now from the above definitions, we can see that

1, whole numbers and natural numbers have many numbers in common. So then, 1 is wrong.

2, all natural numbers are whole numbers, not some. So then, 2 is wrong

3, all whole numbers are not natural numbers, because Zero is a whole number, yet, it's not a natural number.

4, all natural numbers are whole numbers, and this is our answer.

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[See Below]

Step-by-step explanation:

Look at the "Fraction" column, all the fractions in this column must add up to 1 (because the whole bag contains only Red, Green, Blue or Other coloured beads).

So we work out the sum of missing fractions: $\frac{1}{12} + \frac{1}{4} = \frac{1}{12} + \frac{3}{12} = \frac{4}{12} = \frac{1}{3}$

And so we know the fractions in the missing boxes must add up to $1 - \frac{1}{3} = \frac{2}{3}$ .

This means that the number of blue and green beads is 2/3rds of the total number of beads in the bag. There are 12+4=16 blue+green beads so

$\frac{2}{3} \times \text{Number of beads} = 16 \Rightarrow \text{Number of beads} = 24$ .

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(I thought this was a very tricky question. Let me know in the comments if something doesn't make sense, or if you need more explanation on any part, or even if you spot an easier way to do it that I can't.)

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