Number Play
CBSE · Class 8 · Mathematics
Quick revision notes for Number Play — CBSE Class 8 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Sums of Consecutive Numbers
- A natural number can sometimes be written as a sum of consecutive numbers in more than one way.
- Examples include 7 = 3 + 4, 10 = 1 + 2 + 3 + 4, 12 = 3 + 4 + 5, and 15 = 7 + 8 = 4 + 5 + 6 = 1 + 2 + 3 + 4 + 5.
- Odd numbers can be written as a sum of two consecutive numbers.
Parity in Expressions with Plus and Minus
- All expressions formed from four numbers using + and - signs have the same parity.
- If one sign is switched, the value changes by an even number.
- This means all the expressions a ± b ± c ± d have the same parity.
When Two Even Numbers Give a Multiple of 4
- Adding two multiples of 4 always gives a multiple of 4.
- Adding two even numbers that are not multiples of 4 also gives a multiple of 4.
- The two important forms are 4p and 4q, and (4p + 2) and (4q + 2).
Divisibility by 10, 9, 3, and 11
- A number is divisible by 10 if and only if its units digit is 0.
- Every place value except the units place is a multiple of 10.
- A number is divisible by 9 if the sum of its digits is divisible by 9.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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