What is the Multiplicand?

S0-SA1-0315

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

In a multiplication problem, the multiplicand is the number that is being multiplied. It tells us the size of each group or the value that is repeated. Think of it as the 'main' number you are working with.

Simple Example

Quick Example

Imagine you buy 3 packets of biscuits, and each packet has 10 biscuits. Here, 10 is the multiplicand because it's the number of biscuits in each group that is being repeated 3 times. So, 10 biscuits are multiplied by 3 packets.

Worked Example

Step-by-Step

Let's find the total number of students if there are 4 classrooms, and each classroom has 25 students.

1. Identify the operation: We need to find the total, and we have equal groups, so it's multiplication.
---
2. Write down the multiplication problem: Number of students per classroom x Number of classrooms.
---
3. Substitute the values: 25 students x 4 classrooms.
---
4. Identify the multiplicand: The number being multiplied or the value in each group is 25.
---
5. Identify the multiplier: The number of times the multiplicand is repeated is 4.
---
6. Calculate the product: 25 x 4 = 100.
---
Answer: The multiplicand in this problem is 25.

Why It Matters

Understanding the multiplicand helps you correctly set up and solve real-world problems involving repeated addition or scaling. This concept is fundamental in fields like business for calculating profits, in engineering for designing structures, and even in cooking to scale recipes for more people.

Common Mistakes

MISTAKE: Confusing the multiplicand with the multiplier. | CORRECTION: The multiplicand is the number being 'acted upon' or repeated, while the multiplier is 'how many times' it's repeated. In 5 x 3, 5 is the multiplicand (5 is repeated 3 times).

MISTAKE: Thinking the multiplicand is always the bigger number. | CORRECTION: The multiplicand can be smaller than the multiplier. For example, in 2 x 10, 2 is the multiplicand, even though 10 is larger.

MISTAKE: Not being able to identify the multiplicand in a word problem. | CORRECTION: Look for the quantity that represents the 'size of each group' or the 'value being repeated'.

Practice Questions

Try It Yourself

QUESTION: In the multiplication problem 7 x 9 = 63, what is the multiplicand? | ANSWER: 7

QUESTION: A mobile game gives you 15 coins for each level you complete. If you complete 6 levels, which number represents the multiplicand in this situation? | ANSWER: 15

QUESTION: A tailor stitches 8 shirts every day. If he works for 5 days, and we want to find the total shirts stitched using multiplication (8 x 5), what is the multiplicand and why? | ANSWER: The multiplicand is 8, because 8 shirts is the quantity being repeated for each of the 5 days.

MCQ

Quick Quiz

Which of the following numbers is the multiplicand in the equation 12 x 3 = 36?

Both 3 and 12

The Correct Answer Is:

The multiplicand is the number being multiplied or the value of each group. In 12 x 3, 12 is the number that is repeated 3 times, making it the multiplicand.

Real World Connection

In the Real World

When you order multiple plates of 'aloo tikki' from your favourite street food vendor, say 4 plates, and each plate costs ₹30, the cost of one plate (₹30) is the multiplicand. You multiply this cost by the number of plates (4) to get your total bill. This is how many small businesses calculate daily earnings.

Key Vocabulary

Key Terms

MULTIPLICAND: The number being multiplied or repeated | MULTIPLIER: The number of times the multiplicand is repeated | PRODUCT: The result of a multiplication | MULTIPLICATION: A mathematical operation of scaling one number by another

What's Next

What to Learn Next

Great job understanding the multiplicand! Next, you should learn about the 'Multiplier' and the 'Product'. Knowing all three parts will give you a complete picture of how multiplication works and help you solve more complex problems with confidence.