Maths Square and Square Roots part 4 (Properties of Perfect Square 2) CBSE Class 8 Mathematics VIII

TL;DR

The units place digit of a number can determine the units place digit of its square, based on specific patterns.

Transcript

hello friends this video on squares and square roots part 4 is brought to you by example.com no more fear from exam it's true so let's move on to the next property now this is kind of related to this particular property that looking at what is the number at the units place we can also decide what would be the units place digit in its square like fo... Read More

Key Insights

• 🥇 The units place digit of a number can determine the units place digit of its square.
• ❤️‍🩹 Numbers ending in 0, 1, 5 have squares that end in the same digit.
• ❤️‍🩹 Numbers ending in 2, 3, 7, 8 have squares with specific ending digits.
• 🥇 Understanding these patterns can help quickly determine the units place digit of a square without performing the actual multiplication.
• 📏 Memorizing rules is not necessary if the basic squares (0 to 3) are known.

Questions & Answers

Q: How does the units place digit of a number affect the units place digit of its square?

The units place digit of a number directly determines the units place digit of its square. Different units place digits have specific patterns for their squares.

Q: What is the pattern for numbers ending in 0?

Numbers ending in 0 have a square that also ends in 0. This is because 0 squared is 0.

Q: How do numbers ending in 1 behave?

Numbers ending in 1 have a square that ends in 1. For example, 21 squared is 441.

Q: What is the pattern for numbers ending in 2 or 8?

Numbers ending in 2 or 8 have a square that ends in 4. For example, 22 squared is 484.

Q: What happens with numbers ending in 4 or 6?

Numbers ending in 4 or 6 have a square that ends in 6. For example, 14 squared is 196.

Q: How do numbers ending in 3 or 7 behave?

Numbers ending in 3 or 7 have a square that ends in 9. For example, 53 squared is 2809.

Q: What about numbers ending in 5?

Numbers ending in 5 have a square that also ends in 5. For example, 15 squared is 225.

Summary & Key Takeaways

• The units place digit of a number determines the units place digit of its square.

• If a number ends in 0, its square will also end in 0.

• If a number ends in 1 or 9, its square will end in 1.

• If a number ends in 2 or 8, its square will end in 4.

• If a number ends in 3 or 7, its square will end in 9.

• If a number ends in 4 or 6, its square will end in 6.

• If a number ends in 5, its square will end in 5.