Multiplication is Repeated Addition
We know multiplication is repeated addition. Let us have a quick recall of what we have learnt about
multiplication.
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?
Repeated Addition:
We know each people will get ½ a sandwich.
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:
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.
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?
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?
3 times 5 = 15 ; 3 × 5 = 15
The sign ‘×’ is used to show multiplication. The result of
multiplication is called product.
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● 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.
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5th Grade Math Problems
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