Multiplication is Repeated Addition

We know multiplication is repeated addition. Let us have a quick recall of what we have learnt about multiplication.

There are 5 groups of 2 balloons. We can say 5 times 2.

5 Groups of 2 Balloons

We can skip count to get the total when there are equal groups of objects.

Skip count 5 times 2, we will get 10.

Skip Count 5 Times 2

2 + 2 + 2 + 2 + 2 = 10

We write 5 times 2 = 10


Repeated addition means Multiplication. We use ‘×’ symbol to show multiplication. The result of two or more numbers when multiplied is called the product.

 

5 × 2 = 10

 

Let us take another example. There are 2 groups with 4 leaves in each. We can say 2 groups of 4 or 2 times 4. We can skip count 2 times 4 to get the total.

Skip Count 2 Times 4

4 + 4 = 8

We write, 2 × 4 = 8


Consider the following:

I. Andrea made sandwiches for 12 people. When they shared it equally, each of them got ½ a sandwich. How many sandwiches did Andrea make?

Multiplication is Repeated Addition

Repeated Addition:

We know each people will get ½ a sandwich.

Multiplication is Repeated Addition

Multiplication:

½ × 12

= \(\frac{12}{2}\)

= 6

Therefore, Andrea made 6 sandwiches and shared with 12 people each of them got ½ a sandwich.



II. Doreen then poured out a few bottles of fresh orange juice equally among the 8 people. Each of them got \(\frac{3}{4}\) of a glass. How many bottles of fresh orange juice did Andrea use?

Repeated addition:

Multiplication is Repeated Addition


Multiplication:

¾× 8

= \(\frac{24}{4}\)

= 6

Doreen used 6 bottles of fresh orange juice.

So, would you like to still continue adding or would you rather multiply.


III. 


Repeated Addition

In the above example 4 is repeated 5 times. Adding the same number is called repeated addition.


Since from the above examples, we can understand clearly that multiplication is faster than repeated addition.


Multiplication is Adding Equal Groups.

1. If Sara has 3 cats how can she count quickly the numbers of legs 3 cats have in all?

Adding Equal Groups

3 groups of 4 legs; 3 times 4 = 12


2. If a teacher has 5 books and there are 3 teachers, how many books do they have in all?

Result of Multiplication is called Product

3 times 5 = 15 ; 3 × 5 = 15

The sign ‘×’ is used to show multiplication. The result of multiplication is called product.


Questions and Answers on Multiplication is Repeated Addition:

1. Count the objects in each group and fill in the boxes. One has been done for you.

(i)

4 Groups of 3 Apples





4 groups of 3 = 4 × 3

(ii)

4 Groups of 1 Bottle





__ groups of __ = __ × __

(iii)

4 Groups of 2 Pencils






__ groups of __ = __ × __

(iv)

3 Groups of 4 Candies






__ groups of __ = __ × __

(v)

2 Groups of 5 Leaves







__ groups of __ = __ × __

Answer:

1. (ii) 4 × 1

(iii) 4 × 2

(iv) 3 × 4

(v) 2 × 5


2. Write the addition and multiplication facts. One has been done for you.

(i) 3 times 4 = 4 + 4 + 4 = 3 × 4

(ii) 5 times 2 = ___________ = __________

(iii) 7 times 3 = ___________ = __________

(iv) 4 times 1 = ___________ = __________

(v) 2 times 5 = ___________ = __________

(vi) 3 times 3 = ___________ = __________

(vii) 6 times 4 = ___________ = __________


Answer:

2. (ii) 2 + 2 + 2 + 2 + 2 = 5 × 2

(iii) 3 + 3 + 3 + 3 + 3 + 3 + 3 = 7 × 3

(iv) 1 + 1 + 1 + 1 = 4 × 1

(v) 5 + 5 = 2 × 5

(vi) 3 + 3 + 3 = 3 × 3

(vii) 4 + 4 + 4 + 4 + 4 + 4 = 6 × 4

 

3. Write the multiplication facts. One has been done for you.

(i) 5 + 5 + 5 + 5 = 4 × 5

(ii) 3 + 3 = _____ × _____

(iii) 5 + 5 + 5 + 5 + 5 + 5 = _____ × _____

(iv) 4 + 4 + 4 + 4 + 4 = _____ × _____

(v) 2 + 2 + 2 + 2 + 2 + 2 = _____ × _____

(vi) 1 + 1 + 1 = _____ × _____

(vii) 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = _____ × _____


Answer:

3. (ii) 2 × 3

(iii) 6 × 5

(iv) 5 × 4

(v) 6 × 2

(vi) 4 × 1

(vii) 8 × 3


4. Fill in to show that multiplication is repeated addition-

(i) 5 + 5 + 5 + 5 + 5 + 5   = __________

    6 × 5                           = __________


(ii) 9 + 9    = __________

     2 x 9    = __________


(iii) 10 + 10 + 10 = __________

       3 × 10 = __________

 

(iv) 2 + 2 + 2 + 2 + 2 = __________

      5 × 2                   = __________


(v) 4 + 4 + 4 + 4 = __________

     4 x 4 = __________


(vi) 6 + 6 + 6 + 6 + 6 = __________

      5 × 6                   = __________


(vii) 3 + 3 + 3 + 3 + 3 + 3 = __________

       6 × 3                         = __________


(viii) 7 + 7 + 7  = __________

        3 × 7        = __________

(i)

4 Twos are 8

          2 + 2 + 2 + 2 = _____

          4 twos are _____

(ii)

4 Fours are 16



          4 + 4 + 4 + 4 = _____

          4 fours are _____

(iii)

3 Threes are 9

          3 + 3 + 3 = _____

          3 threes are _____

(iv)

2 Fives are 10

          5 + 5

          2 fives are _____



 Multiplication is Repeated Addition.

● Multiplication of Fractional Number by a Whole Number.

● Multiplication of a Fraction by Fraction.

● Properties of Multiplication of Fractional Numbers.

● Multiplicative Inverse.

● Worksheet on Multiplication on Fraction.

● Division of a Fraction by a Whole Number.

● Division of a Fractional Number.

● Division of a Whole Number by a Fraction.

● Properties of Fractional Division.

● Worksheet on Division of Fractions.

● Simplification of Fractions.

● Worksheet on Simplification of Fractions.

● Word Problems on Fraction.

● Worksheet on Word Problems on Fractions.





5th Grade Numbers 

5th Grade Math Problems 

From Multiplication is Repeated Addition to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Expanded form of Decimal Fractions |How to Write a Decimal in Expanded

    Jul 22, 24 03:27 PM

    Expanded form of Decimal
    Decimal numbers can be expressed in expanded form using the place-value chart. In expanded form of decimal fractions we will learn how to read and write the decimal numbers. Note: When a decimal is mi…

    Read More

  2. Worksheet on Decimal Numbers | Decimals Number Concepts | Answers

    Jul 22, 24 02:41 PM

    Worksheet on Decimal Numbers
    Practice different types of math questions given in the worksheet on decimal numbers, these math problems will help the students to review decimals number concepts.

    Read More

  3. Decimal Place Value Chart |Tenths Place |Hundredths Place |Thousandths

    Jul 21, 24 02:14 PM

    Decimal place value chart
    Decimal place value chart are discussed here: The first place after the decimal is got by dividing the number by 10; it is called the tenths place.

    Read More

  4. Thousandths Place in Decimals | Decimal Place Value | Decimal Numbers

    Jul 20, 24 03:45 PM

    Thousandths Place in Decimals
    When we write a decimal number with three places, we are representing the thousandths place. Each part in the given figure represents one-thousandth of the whole. It is written as 1/1000. In the decim…

    Read More

  5. Hundredths Place in Decimals | Decimal Place Value | Decimal Number

    Jul 20, 24 02:30 PM

    Hundredths Place in Decimals
    When we write a decimal number with two places, we are representing the hundredths place. Let us take plane sheet which represents one whole. Now, we divide the sheet into 100 equal parts. Each part r…

    Read More