Negation of Logical Statements in Mathematics

Negating statement is mathematics is sometimes tricky. The following is a list of typical situations where you need to be careful when negating logical statements. If you can analyze the following typical sentences or statements, you’ll be able to use “the way the statement has been negated” in similar situations:  Continue reading “Negation of Logical Statements in Mathematics”

Perfect Cubes or Cube Numbers

Perfect Cubes or Cube numbers are numbers like 27 that you get if you multiply a whole number by itself three times. For example 27 is that same thing as 3 raised to the third power or (3 * 3 * 3). You can also think of 27 as the volume of a cube whose sides are each 3 units long.  Continue reading “Perfect Cubes or Cube Numbers”

Roman Numberals

Roman Numerals, although very old, are still in use for distinct applications. For example, when a list is enumerated especially in old mathematics books, you can see the roman numerals there. Or they are still being use in clocks hanging on a wall. It’s certainly useful to know a few facts about the Roman numerals. Here are a few of the Roman numerals:  Continue reading “Roman Numberals”

Simplifying Multiplication Using Distributive Property

The Distributive property is a * (b + c) = (a * b) + (a * c). What that means is that if you’re multiplying a number by an expression which is the sum of two terms or numbers, you can distribute the term (a) into the expression. Of course you can always evaluate (b + c) and then multiply it by a but sometimes distributing a into the expression will help you in algebra or even number calculation.  Continue reading “Simplifying Multiplication Using Distributive Property”


Estimation is a way of rounding numbers off to some place value for some reason. For example, when a reporter wants to report the number of spectators in a stadium, he does not have to count every single person all the way up to the last person and then say for example, “There are 53, 476 people in the stadium right now.” Nobody would required that number with that much accuracy. The reporter can simply round the number of spectators to the nearest 10,000’s and simply say that there are about 50,000 people in the stadium today. Estimation is used in those kinds of situations.  Continue reading “Estimation”

Adding and Subtracting One to Large Numbers

Adding 1 to large numbers like 10,000,000 is easy but subtracting 1 from 10,000,000 could be confusing. By remembering the pattern that we saw in the largest n-digit numbers and the respective (n+1)-digit numbers, you can easily not make mistakes there.  Continue reading “Adding and Subtracting One to Large Numbers”

International Vs. Indian Number System, Lakh, Crore

In the international number system, the digits in a number are separated in groups of three starting from the rightmost digit in the number. In another article, we talked about place values and the suffixes that you use to read or write number in the International Number System. If you don’t remember the facts discussed in that article, please read them at the end of the article and then continue from here.  Continue reading “International Vs. Indian Number System, Lakh, Crore”

How to Write Numbers in Words

Writing numbers in words are done in different ways based on different standards in different parts of the world but there is a system which can be considered international. Here are a few rules regarding writing numbers in words:  Continue reading “How to Write Numbers in Words”

Expressing Smallest and Largest n-digit Number in Terms of Powers of 10

You know what makes a number large: it’s more number of digits and greater digits in each place value. Based on that, if you want to have the largest two-digit number for example, you’d simply take a two-digit number and fill both the place values with 9’s because the digit 9 has the highest value among all the digits in the decimal number system.  Continue reading “Expressing Smallest and Largest n-digit Number in Terms of Powers of 10”

Sorting Numbers in Ascending/Increasing and Descending/Decreasing Order

Sorting numbers in ascending or descending order is a useful skill that has a lot of applications in computer science and many other branches of science in different situations. Let’s see an example.  Continue reading “Sorting Numbers in Ascending/Increasing and Descending/Decreasing Order”