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Integers, Negative Numbers & BODMAS
Chapter summary, hard words and model exam answers for ICSE Class 10 Hindi.
Free online summary and notes (ICSE Class 10 Hindi). Read it here, no PDF download needed.
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Mathematics · CBSE 10 · ICSE 10 · GCSE (AQA, Edexcel, OCR)
Summary
Every integer has an opposite the same distance from zero. The absolute value is just that distance, ignoring the sign.
Subtracting a negative turns into adding: 10 − (−4) = 14. Adding a negative pulls down: 10 + (−4) = 6.
So (−3) × (−5) = 15 but (−24) ÷ 6 = −4. Count the minuses: even = +, odd = −.
3 + 4 × 2 = 11, not 14, because multiplication comes before addition. Brackets and powers always come first.
Hard words & meanings
| integer | any whole number - positive, negative or zero, with no fractions or decimals |
| number line | a straight line where numbers are marked in order, zero in the middle |
| opposite | the number the same distance from zero but on the other side |
| absolute value | the distance of a number from zero, ignoring its sign |
| sign rule | same signs multiply/divide to +, different signs to − |
| operation | a maths action: add, subtract, multiply or divide |
| orders / indices | powers and roots, such as 3² or √16 |
| BODMAS | the order to do operations: Brackets, Orders, Divide/Multiply, Add/Subtract |
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