What is a Third?

S0-SA1-1368

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

A 'third' means one part out of three equal parts of something. If you divide a whole into three pieces that are exactly the same size, each piece is called a third.

Simple Example

Quick Example

Imagine you have one whole pizza. If you cut it into 3 equal slices, then each slice is one-third of the pizza. So, if you eat one slice, you've eaten one-third of the pizza.

Worked Example

Step-by-Step

PROBLEM: Three friends, Rohan, Priya, and Amit, want to share a pack of 12 laddoos equally. How many laddoos does each friend get?

STEP 1: Identify the total number of items to be shared. Total laddoos = 12.
---STEP 2: Identify the number of equal parts to divide into. Here, 3 friends means 3 equal parts.
---STEP 3: To find one third, divide the total number of items by 3. Number of laddoos per friend = Total laddoos / 3.
---STEP 4: Calculate the division. 12 / 3 = 4.
---ANSWER: Each friend gets 4 laddoos, which is one-third of the total pack.

Why It Matters

Understanding 'thirds' is super important for sharing things fairly and understanding fractions in daily life. It's used by chefs to measure ingredients, by engineers to divide resources, and even in finance to split investments.

Common Mistakes

MISTAKE: Thinking 'a third' means dividing by any number | CORRECTION: 'A third' specifically means dividing by 3, and only 3, into equal parts.

MISTAKE: Dividing into three parts that are not equal | CORRECTION: For something to be a 'third,' all three parts must be exactly the same size.

MISTAKE: Confusing 'a third' with 'three' | CORRECTION: 'A third' is a fraction (1/3), representing a part of a whole, while 'three' is a whole number.

Practice Questions

Try It Yourself

QUESTION: A 15-meter long rope is cut into 3 equal pieces. How long is each piece? | ANSWER: 5 meters

QUESTION: You have 21 stickers. If you give one-third of them to your younger sibling, how many stickers do you give away? | ANSWER: 7 stickers

QUESTION: A class has 30 students. One-third of the students prefer cricket, and the rest prefer kabaddi. How many students prefer kabaddi? | ANSWER: 20 students

MCQ

Quick Quiz

Which of these represents one-third of a whole?

Dividing something into 2 equal parts

Dividing something into 3 equal parts

Dividing something into 4 equal parts

Dividing something into 3 unequal parts

The Correct Answer Is:

Option B is correct because a 'third' means one part out of three *equal* parts. Options A and C use different numbers of parts, and Option D specifies unequal parts.

Real World Connection

In the Real World

In India, when families share a big box of sweets like gulab jamuns, they often divide them equally among family members. If there are 3 main family units, they'd get one-third each. Also, when calculating discounts, sometimes you might hear 'one-third off' the price, meaning you pay 2/3 of the original amount.

Key Vocabulary

Key Terms

FRACTION: A part of a whole | EQUAL PARTS: Pieces that are exactly the same size | WHOLE: The entire amount or object | DIVIDE: To split into parts

What's Next

What to Learn Next

Great job learning about 'a third'! Next, you can explore 'a half' and 'a quarter'. These concepts will help you understand fractions even better and prepare you for more complex math problems.