What Is the Difference Between Multiplicand and Multiplier with Examples
Mathematical expressions are pretty awesome. They are super logical and organised when you look into them. Every expression (Any sequence of numbers with a bunch of symbols can be called a mathematical expression) has an order, each part has a particular name.
Parts of Multiplication
When it comes to multiplication, every number used has a name. If you have guessed by now, parts of a multiplication consist of multiplicand, multiplier and product. We will learn more about these new terms Multiplicand, Multipliers and products with various multiplier examples in this article.
What is Multiplicand in Maths?
The number to be multiplied with the given number is called a multiplicand. Though it is a bit confusing, remembering multiplicand to be the number before the multiplication symbol makes it a bit easier. Let's take the example of Multiplicand below.
In the equation 4 x 5 = 20, 4 is the multiplicand or we can also say that 4 is the mathematical expression of the Multiplicand.
Multiplicand
What is Multiplier in Maths?
The number which is multiplied by the given multiplicand is called a multiplier. It is easier to remember the multiplier to be the number after the multiplication symbol to ease confusion while marking the parts of multiplication. Let's take an example of a Multiplier below.
In the equation 4 x 5 = 20, 5 is the multiplier, we can also say that 5 is the mathematical expression of the Multiplier.
A multiplier is a number that is multiplied to increase the value of the multiplicand at the end of solving an equation.
Multiplier, Multiplicand and Product
Above mentioned image shows the mathematical expression of the multiplier.
What is a Product?
The answer obtained at the end of a multiplication equation is called the product. The result obtained when a multiplicand and a multiplier are multiplied is called the product. It is important to remember that product is nothing but the increased multiplicand obtained at the end of the process of multiplication.
In the equation 4 x 5 = 20, 20 is the product.
Product
Difference between Multiplier and Multiplicand
The "factors" are often the numbers that need to be multiplied. The "multiplicand" is the number that has to be multiplied, and the "multiplier" is the number by which it is multiplied.
For example, each of the three groupings in this instance has six candies. There are therefore 3 times 6 candies, or 6 + 6 + 6, for a total of 18. The result of multiplying two numbers is the "product." The term "multiplicand" refers to the number of items in each group whereas the term "multiplier" refers to the quantity of such equal groups.
Solved Examples
1. Find the product for an expression where the multiplicand is 40 and the multiplier is 3.
Ans: The given statement can be re-written as 40 x 3 where 40 is the multiplicand and 3 is the multiplier.
To solve the expression, 40 x 3= 120.
So, the product of the given expression is 120.
2. For a given expression “50 x 2= 100”, find the parts of the multiplication.
Ans: 50 is the multiplicand.
2 is the multiplier.
100 is the product of the expression.
3. Find the product for an expression where the multiplicand is 127 and the multiplier is 7.
Ans: The given statement can be re-written as 127 x 7 where 127 is the multiplicand and 7 is the multiplier.
To solve the expression, 127 x 7= 889
So, the product of the given expression is 889.
4. For a given expression “193 x 2= 386”, find the parts of the multiplication.
Ans: 193 is the multiplicand.
2 is the multiplier.
386 is the product of the expression.
5. Find the product for an expression where the multiplicand is 39 and the multiplier is 9.
Ans: The given statement can be re-written as 39 x 9 where 39 is the multiplicand and 9 is the multiplier.
So, the product of the given expression is 39 x 9 = 351.
Practice Problems
1. Multiply 34 by 4 and identify the parts of the multiplication.
Ans: 34 x 4 = 136. 34 is the multiplicand, 4 is the multiplier, and 136 is the product.
2. Find the product for an expression where the multiplicand is 80 and the multiplier is 6.
Ans: The product of the expression is 480.
3. For a given expression “74 x 8= 592”, find the parts of the multiplication.
Ans: 74 is the multiplicand, 8 is the multiplier, and 592 is the product.
4. Multiply 89 by 6 and identify the parts of the multiplication.
Ans: 89 is the multiplicand, 6 is the multiplier and 534 is the product.
5. Find the product for an expression where the multiplicand is 72 and the multiplier is 5.
Ans: The product of the expression is 360.
Summary
Let’s brush through what we’ve learnt up until now. Multiplication has a number of parts like the multiplicand, multiplier and product. The multiplicand is the number to which another number is multiplied and whose value is observed to increase. A multiplier is a number which is multiplied by the multiplicand. The result obtained by the multiplication of multiplicand and multiplier is called the product of the multiplication. These parts are important to be identified and understood in order to ensure better application of multiplication expressions in Mathematics.
FAQs on Multiplicand and Multiplier in Multiplication
1. What is the multiplicand and multiplier in multiplication?
The multiplicand is the number being multiplied, and the multiplier is the number by which it is multiplied. In a multiplication sentence:
- Multiplicand × Multiplier = Product
- Example: In 6 × 4 = 24, 6 is the multiplicand and 4 is the multiplier.
2. What is the difference between multiplicand and multiplier?
The difference is that the multiplicand is the number being repeated, while the multiplier tells how many times it is repeated. For example:
- In 8 × 3, 8 is repeated 3 times.
- So, 8 = multiplicand and 3 = multiplier.
3. How do you identify the multiplicand and multiplier in a multiplication problem?
You identify the multiplicand as the number being multiplied and the multiplier as the number multiplying it. Follow these steps:
- Step 1: Look at the expression a × b.
- Step 2: The first number (a) is usually the multiplicand.
- Step 3: The second number (b) is the multiplier.
4. What is an example of multiplicand and multiplier?
An example of multiplicand and multiplier is shown in the multiplication sentence 7 × 6 = 42. Here:
- 7 is the multiplicand (number being multiplied).
- 6 is the multiplier (number of times 7 is added).
- 42 is the product.
5. What is the formula for multiplicand and multiplier?
The basic formula involving multiplicand and multiplier is Multiplicand × Multiplier = Product. In symbolic form:
- a × b = c
- a = multiplicand
- b = multiplier
- c = product
6. Why does the order of multiplicand and multiplier not change the product?
The order does not change the product because of the commutative property of multiplication. This property states:
- a × b = b × a
- 4 × 5 = 20
- 5 × 4 = 20
7. How is multiplicand related to repeated addition?
The multiplicand represents the number that is repeatedly added in multiplication. For example:
- 3 × 4 means 3 added 4 times.
- Repeated addition: 3 + 3 + 3 + 3 = 12.
8. Can the multiplicand and multiplier be decimals or fractions?
Yes, both the multiplicand and multiplier can be decimals, fractions, or even negative numbers. Examples:
- 2.5 × 4 = 10
- 3/4 × 8 = 6
- -3 × 5 = -15
9. What is the product in relation to multiplicand and multiplier?
The product is the result obtained when the multiplicand is multiplied by the multiplier. It follows the rule:
- Multiplicand × Multiplier = Product
- In 10 × 3 = 30, 10 is the multiplicand, 3 is the multiplier, and 30 is the product.
10. What are common mistakes when identifying multiplicand and multiplier?
A common mistake is confusing the roles of multiplicand and multiplier, especially in word problems. Key points to remember:
- The multiplicand is the number being multiplied.
- The multiplier tells how many times it is multiplied.
- Even if you switch them, the product stays the same due to commutativity.
