Numerals are the mathematical figures used in financial, professional as well as a social field in the social world. The digits and place value in the number and the base of the number system determine the value of a number. Numbers are used in various mathematical operations as summation, subtraction, multiplication, division, percentage, etc. which are used in our daily businesses and trading activities.
What are numbers?
Numbers are used in various arithmetic values applicable to carry out various arithmetic operations like addition, subtraction, multiplication, etc. which are applicable in daily lives for the purpose of calculation. The value of a number is determined by the digit, its place value in the number, and the base of the number system.
Numbers generally also known as numerals are the mathematical values used for, counting, measurements, labeling and measuring fundamental quantities.
Numbers are the mathematical values or figures used for the purpose of measuring or calculating quantities. It is represented by numerals as 2,4,7, etc. Some examples of numbers are integers, whole numbers, natural numbers, rational and irrational numbers, etc.
Types Of Numbers
There are different types of numbers categorized into sets by the number system. The types are described below:
- Natural numbers: Natural numbers are the positive counting numbers that count from 1 to infinity. The subset doesn’t include fractional or decimal values. The set of natural numbers is represented by ‘N’. It is the numbers we generally use for counting. The set of natural numbers can be represented as N=1,2,3,4,5,6,7,……………
- Whole numbers: Whole numbers are positive natural numbers including zero, which counts from 0 to infinity. Whole numbers do not include fractions or decimals. The set of whole numbers is represented by ‘W’. The set can be represented as W=0,1,2,3,4,5,………………
- Integers: Integers are the set of numbers including all the positive counting numbers, zero as well as all negative counting numbers which count from negative infinity to positive infinity. The set doesn’t include fractions and decimals. The set of integers is denoted by ‘Z’. The set of integers can be represented as Z=………..,-5.-4,-3,-2,-1,0,1,2,3,4,5,………….
- Decimal numbers: Any numeral value that consists of a decimal point is a decimal number. It can also be expressed in the fractional form in some cases. It can be expressed as 2.5,0.567, etc.
- Real number: Real numbers are the set numbers that do not include any imaginary value. It includes all the positive integers, negative integers, fractions, and decimal values. It is generally denoted by ‘R‘.
- Complex number: Complex numbers are a set of numbers that include imaginary numbers. It can be expressed as a+bi where “a” and “b” are real numbers. It is denoted by ‘C’.
- Rational numbers: Rational numbers are the numbers that can be expressed as the ratio of two integers. It includes all the integers and can be expressed in terms of fractions or decimals. It is denoted by ‘Q’.
- Irrational numbers: Irrational numbers are numbers that cannot be expressed in fractions or ratios of integers. It can be written in decimals and have endless non-repeating digits after the decimal point. It is denoted by ‘P’.
What are Whole Numbers?
The whole numbers are the numbers without fractions and are a collection of positive integers from 0 to infinity. All the whole numbers exist in number lines. All the whole numbers are real numbers but we can’t say that all the real numbers are whole numbers. Whole numbers cannot be negative. The whole numbers are represented by the symbol “W”.
Examples of whole Numbers
Natural numbers are also known as counting numbers including zero are parts of whole numbers, such as 0,1,2,3,4,5, etc. excluding negative integers, fractions, and decimals.
0, 15, 16, 76, and 110, etc. all are examples of whole numbers.
What is 3/4ths as a whole number?
Answer:
The number is 3/4 which can also be written as 0.75. Hence, the number 3/4 is not a whole number, since it is in fractional form and whole numbers do not include fractions or decimals.
However, if there’s a need to convert 3/4 to a whole number, 0.75 can either be rounded up to 1 as whole number or rounded down to 0 as a whole number.
Since, the value after decimal is greater than 5, then it will be rounded up to 1 as a whole number.
Explanation:
The whole numbers are numbers that start from zero.
Consider the number 3/4 as Y.
Y = 3/4
Dividing 3/4 to get the whole number,
so we get,
Y = 3/4
Y = 0.75
Now, rounding it off to the nearest whole number, we get, 0, when rounded down.
Also, if rounded up to the nearest whole number, we get 1.
Since, value after decimal is greater than 5 then it will be rounded up to 1.
Hence, 3/4ths as a whole number is 1.
Similar Questions
Question 1. What is 45/10 as a whole number?
Answer:
Given:- The number is 45/10
Explanation:
The whole numbers are numbers that start from zero.
Consider the number 45/10 as Y.
Y = 45/10
Dividing 45/10 to get the whole number,
so we get,
Y = 45/10
Y = 4.5
Rounding it off to the nearest whole number, we get, 5.
Therefore, the whole number of 44/10 is 5
Question 2. What is 144/4 as a whole number?
Answer:
Given:- The number is 144/4
Explanation:
The whole numbers are numbers that start from zero.
Consider the number 144/4 as Y.
Y = 144/4
Dividing 144/4 to get the whole number,
so we get,
Y = 144/4
Y = 36
Therefore, the whole number of 144/4 is 36.
Question 3. What is 42/5 as a whole number?
Answer:
Given:- The number is 42/5
Explanation:
The whole numbers are numbers that start from zero.
Consider the number 42/5 as Y.
Y = 42/5
Dividing 42/5 to get the whole number,
so we get,
Y = 42/5
Y = 8.4
Rounding it off to the nearest whole number we get 8.
Hence, 42/5 as a whole number will be 8.