Respuesta :
Alright, so the first 10 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Since a prime number is only divisible by 1 and itself and greater than 1, our answers are 2, 3, 5, and 7. That's 4 numbers, or 4/10=0.4 of the 10. Since percentage is based out of 1, we can multiply 0.4 by 100 to get 40%
[tex]\boxed{{\mathbf{40\% }}}[/tex] of the first 10 natural numbers are prime numbers.
Further explanation:
The prime numbers are the numbers that is only divisible by 1 and itself and greater than 1.
Natural numbers are the numbers that is easily countable as their successors can be defined and its starts from 1.
The natural number can be expressed as,
[tex]1,2,3,4,5,6,7,8,9,10 \ldots[/tex]
Step by step explanation:
Step 1:
First determine the first ten natural numbers.
[tex]1,2,3,4,5,6,7,8,9,10[/tex]
Step 2:
Now determine the prime numbers among the first ten natural numbers.
The prime numbers among the first ten natural number are [tex]2,3,5,7[/tex].
Therefore, there are 4 prime numbers.
Step 3:
Now, find the percentage of the first 10 natural numbers are prime numbers.
In general the percentage of any number can be calculated as,
[tex]{\text{percent of }}x = \dfrac{x}{{{\text{total number}}}} \times 100[/tex]
The percentage of the prime numbers can be calculated as,
[tex]\begin{aligned}{\text{percent of prime number}}& = \frac{4}{{{\text{10}}}} \times 100\\ &= 40\% \\\end{aligned}[/tex]
Therefore, [tex]40\%[/tex] of the first 10 natural numbers are prime numbers.
Learn more:
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Percentage
Keywords: Integers, expression, natural numbers, prime numbers, percentage, denominator, numerator, fractions, divisible, total number, the required number
