Maths Playing with Numbers part 3 (Trick with 3 digit Numbers) CBSE Class 8 Mathematics VIII  Summary and Q&A
TL;DR
Learn how to perform tricks with threedigit numbers by reversing, subtracting, and dividing the digits.
Key Insights
 🥇 Represent threedigit numbers using place value: a = 100a + 10b + c.
 ◀️ Reversing the digits of a threedigit number: bca.
 ◀️ Subtracting two reversed threedigit numbers results in a difference divisible by 99.
 #️⃣ The difference is determined by the difference between the first and last digits of the original numbers.
 🌥️ This trick can be performed with larger numbers by dividing the difference by 9, 11, or 99.
 🗂️ The remainder is always 0 when dividing the difference by these numbers.
 😮 This trick can be used to impress and entertain friends by having them divide the final result.
Transcript
hello friends this video on playing with numbers party is brought to you by example calm no more fear from example now you might be thinking that this was 2 digit number that that's why it is simplest let us deal with a three digit number so here again letters L Shalom ami three digit number so how can we represent any three digit number maybe with... Read More
Questions & Answers
Q: How can threedigit numbers be represented using place value?
Threedigit numbers can be written as a = 100a + 10b + c, where a is the digit in the hundreds place, b is the digit in the tens place, and c is the digit in the ones place.
Q: What happens when you reverse the digits of a threedigit number?
Reversing the digits results in the number bca, where b is the new hundreds digit, c is the new tens digit, and a is the new ones digit.
Q: What patterns emerge when subtracting two reversed threedigit numbers?
The difference between the two numbers will always be divisible by 99 and depends on the difference between the first and last digits of the original numbers.
Q: Can you give an example of using this trick with a threedigit number?
Let's take the number 873. Reversing the digits gives us 378. Subtracting these two numbers, we get 495. When divided by 9, 11, or 99, the remainder is always 0.
Summary & Key Takeaways

The video explores representing threedigit numbers using place value and reverse digit order.

Adding two reversed threedigit numbers does not result in any tricks, but subtracting them reveals interesting patterns.

When subtracting, the difference between the two numbers is divisible by 99 and depends on the difference between the first and last digits.