8th Math NCERT Chapter 5
- View Book
- Multiple Choice Questions
- Fill in the blanks
- Summary
- Question Answers
- DIY
- Real World Examples
Loading MCQs…
Score: 0
Loading Fill in the Blanks…
Important Topics from the Chapter "Squares and Square Roots":
1. Square Numbers:
– Summary: Numbers that can be expressed as the product of the number with itself, like 1, 4, 9, 16, 25, etc.
2. Properties of Square Numbers:
– Summary: Square numbers end with digits 0, 1, 4, 5, 6, or 9 in the units place, helping identify them.
3. Patterns with Square Numbers:
– Summary: Observing patterns like square numbers ending in 1 or 6, identifying the units digit of squares, and relationships between consecutive square numbers.
4. Adding Triangular Numbers:
– Summary: Combining consecutive triangular numbers results in a square number.
5. Numbers Between Square Numbers:
– Summary: Analyzing the non-square numbers between consecutive square numbers and the relationships between them.
6. Square of Numbers ending with Zeros:
– Summary: Understanding the connection between the number of zeros at the end of a number and its square.
These topics cover the essence of squares and square roots, including properties, patterns, and relationships between numbers.
What are numbers like 4, 9, 25, 64, and others known as?
Square numbers
Can 32 be considered a square number? Explain your answer.
No, 32 is not a square number because there is no natural number between 5 and 6, which would be its square root.
Which digits do all the square numbers in the table ending with numbers between 1 and 20 have in their units place?
The square numbers in the table end with 0, 1, 4, 5, 6, or 9 in their units place.
What are the next two square numbers that end in 1, following the pattern in the table provided?
The next two square numbers that end in 1 are 121 and 361, corresponding to numbers 11 and 19 respectively.
What can be concluded about the number of zeros at the end of a square number and its square?
If a number contains 3 zeros at the end, its square will have 6 zeros at the end. Square numbers seem to have an even number of zeros at the end.
Loading DIYs…
Loading Real-World Examples…