Math trick
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The document discusses multiplication and subtraction of quadratic forms. It provides examples of multiplying large numbers together, such as 78965153 × 476, and subtracting numbers with multiple digits, such as 21522 - 1322. It also shows the steps to simplify expressions related to quadratic forms, such as simplifying X2 - X2 to 0.
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A026 números enteros
The document contains multiple arithmetic problems involving integers, operations (addition, subtraction, multiplication, division), and expressions with parentheses. It is divided into four blocks. Blocks I-III contain single-step arithmetic problems, while Block IV contains multi-step problems combining several operations. The problems range in complexity from single integer calculations to expressions nested multiple levels deep within parentheses.
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Please refer to the trick enclosed in the word document. It works well for both multiplication of large numbers and multiplication for decimals
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This document provides instructions and examples for solving various equations for the variable x. It demonstrates solving linear and fractional equations by collecting like terms, clearing denominators, and isolating the variable. For example, it shows the steps to solve the equation 3(x - 2)/4 - 2(x +1)/5 = 1/10 for x, which results in x = 5/7. It then solves the equation 4x + 1/3x - 4 = 2x + 1 for x, obtaining x = 1.
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Ahmed Fawzy Gad
ahmed.fawzy@ci.menofia.edu.eg
Information Technology Department
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Menoufia University
Egypt
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Operations in Digital Image Processing + Convolution by Example
Math trick
- 5. MULTIPLICATION 7 8 15697 35 x 4 6 26 4 0 4 0 3 2 6 0 6 0 8 5 7 5 1 8 2 9 2 6 8 4 2 3 2 22 10 54 3 4 346 354 3 0 3 2 0 3 1
- 6. Next step 7 8 15697 35 x 4 6 26 4 0 4 0 3 2 6 0 6 0 8 5 7 5 1 8 2 9 2 6 8 4 2 3 2 22 10 54 3 4 346 354 3 0 3 2 0 3 1 11212222 822 8 5 8 7 4 1 4 7
- 7. Finally 78965153 × 476 = 47587412828 BACK
- 8. Substruction for Quadratic Form 21522 – 1322 = ?
- 9. 21522 – 1322 = 2152 + 132 = 2284
- 10. 21522 – 1322 = 2152 132 = 2020
- 11. 21522 – 1322 = 2152+132 = 2284 21522 – 1322 = 2152-132 = 2020
- 12. 0 22 48 x 2 2 84 4 6 4 4 6 8 0 0 0 0 10 00 0 0 0 0 0 0 1 0 00 0 0 0 0 0 0 0 1 1 03 6 8 1 6 4 0
- 13. Finally 21522 – 1322 = 4613680 BACK
- 14. Is it true that 1 = 1? X2 = X2 X2 - X2 = X2 - X2 X (X - X ) = ( X + X )( X - X ) X (X - X ) = ( X + X )( X - X ) X = X + X X = 2 X 1 = 2 (1) So ……. 1 = 2 +( -X2 ) X2 - Y2 = (X - Y )(X + Y)