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What is The Number 91?

Grade Level:

Pre-School – Class 2

All domains without exception

Definition
What is it?

The number 91 is a two-digit number that comes after 90 and before 92. It is a composite number, meaning it can be divided evenly by numbers other than 1 and itself.

Simple Example
Quick Example

Imagine you have 90 rupees, and someone gives you 1 more rupee. Now you have 91 rupees. This is like the cost of a small snack or a bus ticket for a longer distance in some cities.

Worked Example
Step-by-Step

Let's find the factors of 91. Factors are numbers that divide another number exactly, without leaving a remainder.
1. Start by trying to divide 91 by small numbers, like 2, 3, 4, 5.
2. 91 divided by 2 is 45 with a remainder of 1 (so 2 is not a factor).
3. 91 divided by 3 is 30 with a remainder of 1 (so 3 is not a factor).
4. 91 divided by 5 is 18 with a remainder of 1 (so 5 is not a factor).
5. Let's try 7: 91 divided by 7 is exactly 13.
6. So, 7 and 13 are factors of 91. Also, 1 and 91 are always factors.
Answer: The factors of 91 are 1, 7, 13, and 91.

Why It Matters

Understanding numbers like 91 helps build a strong foundation for all maths. It's crucial in subjects like algebra for solving equations, and in data science for analysing quantities. Knowing about numbers is fundamental for careers like engineers, data analysts, and even shopkeepers who manage inventory and sales.

Common Mistakes

MISTAKE: Thinking 91 is a prime number because it's not divisible by 2, 3, or 5. | CORRECTION: Always check divisibility by other small prime numbers like 7, 11, 13, etc., especially for numbers that seem 'tricky'. 91 is divisible by 7 and 13.

MISTAKE: Confusing the number 91 with 19 or 9.1. | CORRECTION: Pay close attention to the order of digits and the decimal point. 91 is a whole number, 19 is a different number, and 9.1 is a decimal.

MISTAKE: Incorrectly adding or subtracting 91 in calculations. For example, 100 - 91 = 11. | CORRECTION: Always double-check your arithmetic, especially with carrying over or borrowing. 100 - 91 = 9.

Practice Questions
Try It Yourself

QUESTION: What is 91 + 9? | ANSWER: 100

QUESTION: If you have 91 cricket balls and give away 13, how many do you have left? | ANSWER: 78

QUESTION: A mobile data pack costs Rs 91. If you buy 3 such packs, how much money do you spend in total? | ANSWER: Rs 273 (91 x 3 = 273)

MCQ
Quick Quiz

Which of the following statements about the number 91 is TRUE?

It is a prime number.

It is an even number.

It is divisible by 7.

It is less than 90.

The Correct Answer Is:

C

91 is divisible by 7 (91 ÷ 7 = 13), so option C is correct. It is not prime because it has factors other than 1 and 91. It is an odd number, not even. And it is greater than 90, not less.

Real World Connection
In the Real World

The number 91 can appear in many real-world scenarios. For example, the ISD code for calling India from another country is +91. You might also see it in cricket scores, like a batsman scoring 91 runs, or in the number of days left for a school project deadline.

Key Vocabulary
Key Terms

DIGIT: A single symbol used to make numbers (0-9) | COMPOSITE NUMBER: A whole number that can be divided evenly by numbers other than 1 and itself | PRIME NUMBER: A whole number greater than 1 that has only two factors: 1 and itself | FACTOR: A number that divides another number exactly, without leaving a remainder | ODD NUMBER: A whole number that cannot be divided exactly by 2

What's Next
What to Learn Next

Great job understanding 91! Next, you can explore 'Prime Numbers' and 'Composite Numbers' in more detail. This will help you understand why 91 is a composite number and how to identify other types of numbers, building your number sense even further.

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