How many whole numbers are between 1016 and 2021?

The number system is a way of representing numbers with the bits of help of standard rules and symbols in different sets. The number system expresses the numbers of a number line in the form of figures or words. Decimal number system, binary number system, octal number system, and hexadecimal system are some general number systems used for the expression of mathematical figures.

Numbers

Numbers are the numeric values that participate in mathematical operations like summation, subtraction, multiplication, and division. Numbers are used in day-to-day life in essential sectors from marketing, sales, trading, weather forecasting, media management, and many other disciplines. They are the standards for measurement, calculation, labeling, etc.

On the basis of numbers included in a group, these mathematical figures are divided into different types.

• Real number
• Complex number
• Natural number
• Whole number
• Prime number
• Rational number
• Irrational number, etc.

Whole numbers

Whole numbers are the set of numbers that includes all the counting numbers as well as zero. The set of whole numbers does not accept negative integers, fractions, and decimal values. The set of the whole numbers count from 0, 1, 2, 3, 4, 5, 6… and so on. It can also be said that all natural number and 0 included are whole numbers. Therefore, all natural numbers are whole numbers but not vice-versa.

How many whole numbers are between 1016 and 2021?

Solution:

The number of whole numbers presents between two consecutive numbers A and B can be determined by the method.

B – A – 1

In which B stands for the larger number and A stands for the smaller number. And, 1 is subtracted at the last to exclude one of the endpoints as the question asks about the whole numbers “between” two consecutive numbers. According to the question, there are two consecutive numbers 1016 and 2021 and the number of whole numbers between them can be determined by B – A – 1

where,

A = 1016

B = 2021

Now,

= 2021-1016

= 1005

Then,

1005 – 1

1004

Therefore, there are 1004 whole numbers between 1016 and 2021.

Sample Problems

Question 1: How many whole numbers are between 1042 and 1210?

Answer:

There are 167 whole numbers between 1042 and 1210.

As by the method B – A – 1

1210 – 1042

168

Then, 

= 168 – 1

= 167

Question 2: How many whole numbers are between 1018 and 1203?

Answer:

There are 184 whole numbers between 1018 and 1203.

As by the method B – A – 1

= 1203 – 1018

= 185

Then,

= 185 – 1

= 184

Question 3: How many whole numbers are between 51 and 71?

Answer:

There are 19 whole numbers between 51 and 71.

As by the method B – A – 1

= 71 – 51

= 20

Then,

= 20 – 1

= 19

Question 4: How many whole numbers are between 10 and 100?

Answer:

There are 89 whole numbers between 10 and 100.

As by the method B – A – 1

= 100 – 10

= 90

Then, 

= 90 – 1

= 89

Question 5: How many whole numbers are there between 1019 and 1200?

Answer:

There are 180 whole numbers between 1019 and 1200.

As by the method B – A – 1

= 1200 – 1019

= 181

Then, 

= 181 – 1

= 180