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Multiplication as Comparison

What is multiplication?

The process of finding out the product between two or more numbers is called multiplication. The result thus obtained is called the product. Suppose, you bought 6 pens on one day and 6 pens on the next day. Total pens you bought are now 2 times 6 or 6 + 6 = 12.

This can also be written as 2 x 6 = 12

Note the symbol used for multiplication. The symbol (x) is generally used to represent multiplication. Other common symbols that are used for multiplication are the asterisk (*) and dot (.)  

What is meant by multiplication as a comparison?

Multiplication, by comparison, means that you compare two quantities in such a manner that when one quantity is multiplied by a specific number the other quantity is produced. Let us take an example. Consider the sentence, “ Harry is twice as tall as Peter “. This means that if the age of Peter is “ p “ then, the age of Harry will be two times that of Peter, i.e. 2p. 

Let us take another example.

Example

The length of the bench is 30 m. it is thrice as long as the length of the Stool. What is the length of the stool?

Solution

We have been given that, the length of the bench is 30 m. it is thrice as long as the length of the Stool. Now, let the length of the stool be  “ s “. Therefore, we have,

3 s = 30

⇒ s = 10 m

Hence, the length of the stool is 30 m

Representing Multiplication table as multiplication by comparison

Let us now understand how to read some of the multiplication tables in the form of multiplication by comparison

Multiplication as Comparison for Table of 2

Multiplication TableMultiplication as Comparison
2 × 1 = 22 is one time as many as 2 and 2 times as many as one
2 × 2 = 44 is two times as many as 2 
2 × 3 = 66 is three times as many as 2 and 2 times as many as three
2 × 4 = 88 is four times as many as 2 and 2 times as many as four
2 × 5 = 1010 is five times as many as 2 and 2 times as many as five
2 × 6 = 1212 is six times as many as 2 and 2 times as many as six
2 × 7 = 1414 is seven times as many as 2 and 2 times as many as seven
2 × 8 = 1616 is eight times as many as 2 and 2 times as many as eight
2 × 9 = 1818 is nine times as many as 2 and 2 times as many as nine
2 × 10 = 2020 is ten times as many as 2 and 2 times as many as ten
2 x 11 = 2222 is eleven times as many as 2 and 2 times as many as eleven
2 x 12 = 2424 is twelve times as many as 2 and 2 times as many as twelve
2 x 13 = 2626 is thirteen times as many as 2 and 2 times as many as thirteen
2 x 14 = 2828 is fourteen times as many as 2 and 2 times as many as fourteen
2 x 15 = 3030 is fifteen times as many as 2 and 2 times as many as fifteen
2 x 16 = 3232 is sixteen times as many as 2 and 2 times as many as sixteen
2 x 17 = 3434 is seventeen times as many as 2 and 2 times as many seventeen
2 x 18 = 3636 is eighteen times as many as 2 and 2 times as many as eighteen 
2 x 19 = 3838 is nineteen times as many as 2 and 2 times as many as nineteen
2 x 20 = 4040 is twenty times as many as 2 and 2 times as many as twenty

Multiplication as Comparison for Table of 3

Multiplication TableMultiplication as Comparison
3 × 1 = 33 is one time as many as 3 and 3 times as many as one
3 × 2 = 66 is two times as many as 3 and 3 times as many as two
3 × 3 = 93 is three times as many as 3
3 × 4 = 1212 is four times as many as 3 and 3 times as many as four
3 × 5 = 1515 is five times as many as 3 and 3 times as many as five
3 × 6 = 1818 is six times as many as 3 and 3 times as many as six
3 × 7 = 2121 is seven times as many as 3 and 3 times as many as seven
3 × 8 = 2424 is eight times as many as 3 and 3 times as many as eight
3 × 9 = 2727 is nine times as many as 3 and 3 times as many as nine
3 × 10 = 3030 is ten times as many as 3 and 3 times as many as ten
3 x 11 = 3333 is eleven times as many as 3 and 3 times as many as eleven
3 x 12 = 3636 is twelve times as many as 3 and 3 times as many as twelve
3 x 13 = 3939 is thirteen times as many as 3 and 3 times as many as thirteen
3 x 14 = 4242 is fourteen times as many as 3 and 3 times as many as fourteen
3 x 15 = 4545 is fifteen times as many as 3 and 3 times as many as fifteen
3 x 16 = 4848 is sixteen times as many as 3 and 3 times as many as sixteen
3 x 17 = 5151 is seventeen times as many as 3 and 3 times as many seventeen
3 x 18 = 5454 is eighteen times as many as 3 and 3 times as many as eighteen 
3 x 19 = 5757 is nineteen times as many as 3 and 3 times as many as nineteen
3 x 20 = 6060 is twenty times as many as 3 and 3 times as many as twenty

Multiplication as Comparison for Table of 4

Multiplication TableMultiplication as Comparison
4 × 1 = 44 is one time as many as 4 and 4 times as many as one
4 × 2 = 88 is two times as many as 4 and 4 times as many as two
4 × 3 = 1212 is three times as many as 4 and 4 times as many as three
4 × 4 = 1616 is four times as many as 4
4 × 5 = 2020 is five times as many as 4 and 4 times as many as five
4 × 6 = 2424 is six times as many as 4 and 4 times as many as six
4 × 7 = 2828 is seven times as many as 4 and 4 times as many as seven
4 × 8 = 3232 is eight times as many as 4 and 4 times as many as eight
4 × 9 = 3636 is nine times as many as 4 and 4 times as many as nine
4 × 10 = 4040 is ten times as many as 4 and 4 times as many as ten
4 x 11 = 4444 is eleven times as many as  and 4 times as many as eleven
4 x 12 = 4848 is twelve times as many as 4 and 4 times as many as twelve
4 x 13 = 5252 is thirteen times as many as 4 and 4 times as many as thirteen
4 x 14 = 5656 is fourteen times as many as 4 and 4 times as many as fourteen
4 x 15 = 6060 is fifteen times as many as 4 and 4 times as many as fifteen
4 x 16 = 6464 is sixteen times as many as 4 and 4 times as many as sixteen
4 x 17 = 6868 is seventeen times as many as 4 and 4 times as many seventeen
4 x 18 = 7272 is eighteen times as many as 4 and 4 times as many as eighteen 
4 x 19 = 7676 is nineteen times as many as 4 and 4 times as many as nineteen
4 x 20 = 8080 is twenty times as many as 4 and 4 times as many as twenty

Multiplication as Comparison for Table of 5

Multiplication TableMultiplication as Comparison
5 × 1 = 55 is one time as many as 5 and 5 times as many as one
5 × 2 = 1010 is two times as many as 5 and 5 times as many as two
5 × 3 = 1515 is three times as many as 5 and 5 times as many as three
5 × 4 = 2020 is four times as many as 5 and 5 times as many as four
5 × 5 = 2525 is five times as many as 5
5 × 6 = 3030 is six times as many as 5 and 5 times as many as six
5 × 7 = 3535 is seven times as many as  and 5 times as many as seven
5 × 8 = 4040 is eight times as many as 5 and 5 times as many as eight
5 × 9 = 4545 is nine times as many as 5 and 5 times as many as nine
5 × 10 = 5040 is ten times as many as 5 and 5 times as many as ten
5 x 11 = 5555 is eleven times as many as 5 and 5 times as many as eleven
5 x 12 = 6060 is twelve times as many as 5 and 5 times as many as twelve
5 x 13 = 6565 is thirteen times as many as 5 and 5 times as many as thirteen
5 x 14 = 7070 is fourteen times as many as 5 and 5 times as many as fourteen
5 x 15 = 7575 is fifteen times as many as 5 and 5 times as many as fifteen
5 x 16 = 8080 is sixteen times as many as 5 and 5 times as many as sixteen
5 x 17 = 8585 is seventeen times as many as 5 and 5 times as many seventeen
5 x 18 = 9090 is eighteen times as many as 5 and 5 times as many as eighteen 
5 x 19 = 9595 is nineteen times as many as 5 and 5 times as many as nineteen
5 x 20 = 100100 is twenty times as many as 5 and 5 times as many as twenty

Multiplication as Comparison for Table of 6

Multiplication TableMultiplication as Comparison
6 × 1 = 66 is one time as many as 6 and 6 times as many as one
6 × 2 = 1212 is two times as many as 6 and 6 times as many as two
6 × 3 = 1818 is three times as many as 6 and 6 times as many as three
6 × 4 = 2424 is four times as many as 6 and 6 times as many as four
6 × 5 = 3060 is five times as many as 6 and 6 times as many as five
6 × 6 = 3636 is six times as many as 6
6 × 7 = 4242 is seven times as many as  and 6 times as many as seven
6 × 8 = 4848 is eight times as many as 6 and 6 times as many as eight
6 × 9 = 5454 is nine times as many as 6 and 6 times as many as nine
6 × 10 = 6060 is ten times as many as 6 and 6 times as many as ten
6 ×11 = 6666 is eleven times as many as 6 and 6 times as many as eleven
6 × 12 = 7272 is twelve times as many as 6 and 6 times as many as twelve
6× 13 = 7878 is thirteen times as many as 6 and 6 times as many as thirteen
6 × 14 = 8484 is fourteen times as many as 6 and 6 times as many as fourteen
6 × 15 = 9090 is fifteen times as many as 6 and 6 times as many as fifteen
6 × 16 = 9696 is sixteen times as many as 6 and 6 times as many as sixteen
6 × 17 = 102102 is seventeen times as many as 6 and 6 times as many seventeen
6× 18 = 108108 is eighteen times as many as 6 and 6 times as many as eighteen 
6 × 19 = 114114 is nineteen times as many as 6 and 6 times as many as nineteen
6 × 20 = 120120 is twenty times as many as 6 and 6 times as many as twenty

Multiplication as Comparison for Table of 7

Multiplication TableMultiplication as Comparison
7 × 1 = 77 is one time as many as 7 and 7 times as many as one
7 × 2 = 1414 is two times as many as 7 and 7 times as many as two
7 × 3 = 2121 is three times as many as 7 and 7 times as many as three
7 × 4 = 2828 is four times as many as 7 and 7 times as many as four
7 × 5 = 3535 is five times as many as 7 and 7 times as many as five
7 × 6 = 4242 is six times as many as 7 and 7 times as many as six
7 × 7 = 4949 is seven times as many as 7
7 × 8 = 5656 is eight times as many as 7 and 7 times as many as eight
7 × 9 = 6363 is nine times as many as 7 and 7 times as many as nine
7 × 10 = 7070 is ten times as many as 7 and 7 times as many as ten
7 X 11 = 7777 is eleven times as many as 7 and 7 times as many as eleven
7 X 12 = 8484 is twelve times as many as 7 and 7 times as many as twelve
7 X 13 = 9191 is thirteen times as many as 7 and 7 times as many as thirteen
7 X 14 = 9898 is fourteen times as many as 7 and 7 times as many as fourteen
7 X 15 = 105105 is fifteen times as many as 7 and 7 times as many as fifteen
7 X 16 = 112112 is sixteen times as many as 7 and 7 times as many as sixteen
7 X 17 = 119119 is seventeen times as many as 7 and 7 times as many seventeen
7 X 18 = 126126 is eighteen times as many as 7 and 7 times as many as eighteen 
7 X 19 = 133133 is nineteen times as many as 7 and 7 times as many as nineteen
7 X 20 = 140140 is twenty times as many as 7 and 7 times as many as twenty

Advantages of learning multiplication by comparison

Following are the advantages of learning multiplication by comparison – 

  1. Understanding multiplication by comparing quantities allows the students to understand the concepts as they raise the level of difficulties in multiplication.
  2. It is easier to relate how numbers are multiplied with each other when projected as comparative quantities. 

Key Facts and Summary

  1. The process of finding out the product between two or more numbers is called multiplication. The result thus obtained is called the product.
  2. The symbol (x) is generally used to represent multiplication. Other common symbols that are used for multiplication are the asterisk (*) and dot (.)  
  3. Multiplication, by comparison, means that you compare two quantities in such a manner that when one quantity is multiplied by a specific number the other quantity is produced.
  4. Understanding multiplication by comparing quantities allows the students to understand the concepts as they raise the level of difficulties in multiplication.
  5. It is easier to relate how numbers are multiplied with each other when projected as comparative quantities.

Multiplicative Comparisons and Equations 4th Grade Math Worksheets
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