Multiply

Let us play a simple game.

There is a track marked with numbers.

Tarru, the frog, has to jump on every third tile without stepping on any number in between.

Jumping track game that uses multiples of 3

Tarru starts jumping from number 3

Let us color each 3rd tile as he jumps on the track.

If you list the tiles that he jumps on, you can observe that they are multiples of 3

3, 6, 9, 12, 15, 18, and so on.

Learning about multiplication helps us in getting the answer to such questions.

We don't want you to worry, as we, at Cuemath, understand how this topic can be confusing for you.

We are here to help you understand this concept in a clear way.

In this section, you will learn about the definition of multiply in maths, multiply fractions, and synonyms of multiply. You can check out the interactive simulations to know more about the lesson and try your hand at solving a few interesting practice questions at the end of the page.

So, let's start!

Lesson Plan


What Is Multiply?

Definition of Multiply in Maths

In mathematics, to multiply means adding a number to itself to a particular number of times.

Multiplication can be viewed as a process of repeated addition.

For example, \(4 \times 3\) is the same as \(4+4+4=12\).

multiplication is repeated addition

In fact, repeated addition is the first pillar of multiplication.

The synonym of multiply is to find the product of two numbers.

For example, here you have 3 groups of 7 cupcakes.

Multiplication using cupcakes

So, instead of adding seven three times, it can be written as \( 7 \times 3 =21\)

This means there are 21 cupcakes in all.

Here is a trick for you to make multiplication easy and simple.

Just relate multiplication with addition.


How to Multiply Two Numbers?

How to Multiply Fractions?

Maria has a ribbon of a length of 9 inches.

She wants to cut it into 4 equal parts.

Multiplying fractions examples

What fraction of total length would each part represent?

Each part will be \(\frac{9}{4}\) of the strip.

She took one part and divided it into 2 equal parts.

Now, each part will represent \(\frac{1}{2}\times\frac{9}{4} \)

Follow the following steps to multiply the fractions.

  • Multiply the numerators \(1 \times 9 = 9\)
  • Multiply the denominators \(2 \times 4 = 8\)
  • Since it's already in its lowest term we can leave it as is.

\[\frac{1}{2}\times\frac{9}{4} = \frac{9}{8}\]

Fun Facts

  • If you multiply a number by 1, the result is the number itself.

Identity Property of multiplication

  • If you multiply any number by 0, the result is always 0.

Zero Property of multiplication

  • Changing the order of two numbers in multiplication does not make any difference in the result.

Commutative Property of multiplication


Solved Examples

Example 1

 

 

Tom got 3 packs of trading cards and each pack had 5 cards in it.

multiplication example using trading cards

So, how many cards did Tom get in total?

Solution

Number of cards in one pack of trading cards = 5

Number of cards in 3 packs of trading cards = \(5 \times 3=15\)

\(\therefore\) Tom got 15 cards in all.
Example 2

 

 

Jacky is a special cook who comes only on party days.

multiplication example using cook doing work in party days

He was called for 28 days.

For each day, he was being paid $ 15

Can you tell how much he was paid for 28 days?

Solution

Jacky's pay for 1 day = \($\;15\)

Jacky's pay for 28 days = \($ (28\times 15)\)

Multiplication of 15 and 28

\(\therefore\) Jacky is paid $ 420 for 28 days.
Example 3

 

 

Today is Cherry's birthday. She wants to share 4 candies with the students in her class.

Understanding multiplication using example - its your birthday and you want to divide candies equally among your friends.

If there are 34 students in her class, how many candies should she distribute?

Solution

Number of candies with a student = 4

Number of candies with 34 students = \(34 \times 4 = 136\)

Multiplication of 34 and 4

\(\therefore\) Cheery needs 136 candies to distribute in her class. 
Example 4

 

 

Joe attends music classes every fifth day.

Starting from the 5th of August, can you color those dates in the calendar?

Calendar with dates that are multiples of 5 are coloured

Write down the series to check the number whose multiples are shown.

Solution

After coloring every 5th day, the series that we get is:

5, 10, 15, 20, 25 and 30

\(\therefore\) Multiples of 5 are shown.
 
Challenge your math skills
Challenging Questions

1.

The following card contains an incomplete 4-column grid.

Do appropriate calculations to find the missing numbers.

Finally, there are five selected numbers on each grid. Transfer them to the final column, and the last challenge is to sum all of these numbers.

 

Multiplication Calculator

Experiment with the simulation below to see how changing the numbers also changes the size of the grid.

Drag the sliders to change the number.

 
important notes to remember
Important Notes
  1. When we multiply two numbers, the result is greater than or equal to either number.

  2. The resultant of the multiplication of two numbers is called a product.

  3. The number which we multiply is called a multiplicand.

  4. The number by which we multiply is called a multiplier.

Interactive Questions

Here are a few activities for you to practice.

Select/Type your answer and click the "Check Answer" button to see the result.

 
 
 
 
 
 

Let's Summarize

We hope you enjoyed learning about Multiply with the simulations and practice questions. Now, you will be able to easily solve problems on multiplication in maths, multiply fractions, and synonyms of multiply.

About Cuemath

At Cuemath, our team of math experts is dedicated to making learning fun for our favorite readers, the students!

Through an interactive and engaging learning-teaching-learning approach, the teachers explore all angles of a topic.

Be it worksheets, online classes, doubt sessions, or any other form of relation, it’s the logical thinking and smart learning approach that we, at Cuemath, believe in.


Frequently Asked Questions (FAQs)

1. Why do we multiply numbers?

We multiply numbers to know the total items in all by multiplying the number of objects in each group by the number of such equal groups.

2. What is the result of multiplication called?

The result of the multiplication is called the product.

3. What is the first number in a multiplication called?

The first number in multiplication is called multiplicand.

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