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What is The Number 64?

Grade Level:

Pre-School – Class 2

All domains without exception

Definition
What is it?

The number 64 is a whole number that comes after 63 and before 65. It is an even number, meaning it can be divided by 2 without any remainder. 64 is also a perfect square (8 x 8) and a perfect cube (4 x 4 x 4).

Simple Example
Quick Example

Imagine your favourite cricket team scored 64 runs in the first 10 overs. This means they scored sixty-four runs. Or, if you need 64 MB of mobile data to watch a short video, that's the amount of data you're using.

Worked Example
Step-by-Step

Let's say you have 6 dozen eggs. How many eggs do you have in total? --- Step 1: We know 1 dozen means 12 items. --- Step 2: We need to find out how many eggs are in 6 dozen. So, we multiply 6 by 12. --- Step 3: 6 x 12 = 72. --- Step 4: Now, suppose 8 of those eggs broke. How many are left? --- Step 5: Subtract the broken eggs from the total: 72 - 8 = 64. --- So, you have 64 eggs left.

Why It Matters

Understanding numbers like 64 is fundamental for everyday calculations and advanced maths. It helps in fields like computer science (data storage often uses powers of 2, like 64 GB), engineering (measurements), and even finance (calculating interest).

Common Mistakes

MISTAKE: Confusing 64 with 46. | CORRECTION: Always pay attention to the order of digits. 64 is 'sixty-four', while 46 is 'forty-six'.

MISTAKE: Thinking 64 is a prime number. | CORRECTION: A prime number only has two factors: 1 and itself. 64 has many factors (1, 2, 4, 8, 16, 32, 64), so it is a composite number.

MISTAKE: Not recognizing 64 as a perfect square or cube. | CORRECTION: Remember that 8 x 8 = 64 (perfect square) and 4 x 4 x 4 = 64 (perfect cube). This is useful for solving equations.

Practice Questions
Try It Yourself

QUESTION: If you have 60 rupees and your friend gives you 4 more rupees, how much money do you have in total? | ANSWER: 64 rupees

QUESTION: A bus has 32 seats. If two such buses are full, how many passengers are there in total? | ANSWER: 64 passengers (32 x 2 = 64)

QUESTION: You are buying ladoos for a festival. Each box has 8 ladoos. If you buy 8 boxes, how many ladoos do you have? Then, if you eat 10 ladoos, how many are left? | ANSWER: 64 ladoos (8 x 8 = 64), then 54 ladoos left (64 - 10 = 54)

MCQ
Quick Quiz

Which of these statements about the number 64 is INCORRECT?

It is an even number.

It is a perfect square.

It is a prime number.

It is a perfect cube.

The Correct Answer Is:

C

64 is an even number, a perfect square (8x8), and a perfect cube (4x4x4). It is not a prime number because it has more than two factors (e.g., 2, 4, 8, 16).

Real World Connection
In the Real World

In computer and mobile technology, memory and storage are often measured in powers of 2. For example, a common USB drive or phone storage option is 64 GB (gigabytes). This means it can hold 64 billion bytes of data, like photos, videos, or apps.

Key Vocabulary
Key Terms

WHOLE NUMBER: A number without fractions or decimals (like 1, 2, 3...) | EVEN NUMBER: A number that can be divided by 2 exactly | PERFECT SQUARE: A number that is the product of an integer multiplied by itself (e.g., 8x8=64) | PERFECT CUBE: A number that is the product of an integer multiplied by itself three times (e.g., 4x4x4=64) | COMPOSITE NUMBER: A whole number that has more than two factors

What's Next
What to Learn Next

Great job understanding 64! Next, you can explore other special numbers like prime numbers, odd numbers, and larger numbers. This will help you build a strong foundation for all your future math learning.

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