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muravyevaarina
06.01.2020 •
Mathematics
Identify all sets to which the number belongs.
-0.
a. integer
b. irrational
c.rational, integer, whole
d.rational, integer, whole, natural
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Ответ:
Option B
-0.249851765 is a irrational number
Solution:
Given number is -0.249851765
We have to classify the number
Let us first understand about irrational, real, whole, integer and rational numbers
Integers:An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043
Every integer can be expressed as a decimal, but most numbers that can be expressed as a decimal are not integers. If all the digits after the decimal point are zeroes, the number is an integer. If there are any non-zero digits after the decimal point, the number is not an integer.
Thus -0.249851765 has non zero digits after decimal point. So it is not a integer
Whole numbers:Whole numbers are positive numbers, including zero, without any decimal or fractional parts. Negative numbers are not considered "whole numbers."
But the given number -0.249851765 is negative number. So it is not a whole number
Natural numbers:A natural number is an integer greater than 0. Natural numbers begin at 1 and increment to infinity: 1, 2, 3, 4, 5, etc. Natural numbers are also called "counting numbers" because they are used for counting.
A decimal is a natural number if it is non-negative and the only digits after its decimal points are zero
So the given number -0.249851765 is a negative number and so it is not a natural number
Rational numbers:A rational number is a number that can be expressed as a fraction (ratio) in the form
where p and q are integers and q is not zero.
The rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another.
When a rational number fraction is divided to form a decimal value, it becomes a terminating or repeating decimal.
So -0.249851765 is not a rational number
Irrational number:An irrational number is real number that cannot be expressed as a ratio of two integers.
When an irrational number is expressed in decimal form, it goes on forever without repeating
So the given number -0.249851765 is irrational number
We can conclude that:
-0.249851765 is a irrational number, So Option B is correct
Ответ:
37.69 (≈ 38 ft²)
Step-by-step explanation:
2πr = 30.77
r = 30.77 / (2 * 3.14) = 4.9
half of free-throw circle area: πr² / 2 = (3.14 * 4.9²) / 2 = 37.69 (≈ 38 ft²)