Order Relations Successor & Predecessor A number that comes just after “a given” number is called its successor. It is one more than the given number. A number that comes just before “a given” number is called its predecessor. It is one less than the given number. Examples: Comparison of Numbers When two numbers have different number of […]
Expanded Form: International Place Value System The Expanded form varies in the Indian and International structure as per their defined period. We just learned how to expand a number per the Indian Place Value System, now let us go through some examples to learn about the International Place Value System. The key point of difference […]
Expanded Form A number when expressed with its place value denotes its expanded form. Suppose we write a number 619, here we actually mean that we have a total of 600 + 10 + 9. This expansion shows the value of each of its digit and hence represents the expanded form. The expanded form varies […]
Introduction: Place Value System, India and International According to our number system, the value of a digitdepends upon the place it holds in the number. The TRUE and ACTUAL value of a number depends on two factors: Face value of a digit in a number is the digit itself Place value of a digit in a number depends upon […]
The Indian Place Value System Using the same concepts as we had learned in the introduction, the Indian Place Value System is also a Base -10 number system, with following key rules: We start grouping the number from the right, first in group of 3 and then further in groups of 2. Starting from the right, the first period is ones, consisting of three place values […]
The International Place Value System In this system, we start grouping the number from right in group of 3 called period. Starting from the right, the first period is ones, consisting of three place values i.e. ones, tens and hundreds. The next period is thousands, consisting of three places i.e. thousands, ten-thousands and […]
Prime Factorization When we express a composite number as a product of prime numbers, it is called prime factorization. The set of prime numbers are called the prime factors of the given number. Example-Let us take a number 24. Factors of 24 = 1, 2, 3, 4, 6, 8, 12 and 24. Out of these factors, […]
Fractions John had a chocolate which had 12 pieces. He ate 1 piece. How much of the chocolate is left with John? We can see, the chocolate is divided into 12 parts of which 1 part was eaten by John. So, 11 out of 12 parts is left with him. We can denote this as which […]
Addition and Subtraction of Algebraic Terms Addition in Algebra Let us understand this topic with an example. Mike has 20 more chocolate candies than Steve. Then exactly how many chocolate candies does Mike have? We shall denote Steve’s candies by the letter x. So “x” is a variable here. This can take any positive value. (because you […]
Graphing Ordered Pairs A lot of the geometric shapes and figures you have learned thus far will eventually have formulas assigned to them as you delve into the world of algebra and more advanced geometry. In order for those formulas to make physical, geometric sense, they need to be placed in what is called a […]