Algebra Play
CBSE · Class 8 · Mathematics
Flashcards for Algebra Play — CBSE Class 8 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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'एक संख्या के बारे में सोचो' जैसे बीजगणित के युक्तियों के पीछे मुख्य विचार क्या है?
Answer
एक अक्षर-संख्या किसी भी प्रारंभिक संख्या के लिए खड़ी हो सकती है, इसलिए चरणों के एक अनुक्रम को एक बार में प्रत्येक मान के लिए परीक्षण किया जा सकता है। यह दिखाने में मदद करता है कि क्या एक चाल हमेशा एक …
What is the main idea behind algebra tricks like 'Think of a Number'?
Answer
A letter-number can stand for any starting number, so a sequence of steps can be tested for every value at once. This helps show whether a trick always gives the same final answer.
Think of a Number trick: Why does the result always become 2?
Answer
Let the starting number be x. Double it: 2x. Add four: 2x + 4. Divide by 2: x + 2. Subtract the original number: x + 2 - x = 2. So the final answer is always 2.
एक संख्या की चाल के बारे में सोचेंः परिणाम हमेशा 2 क्यों हो जाता है?
Answer
मान लीजिए कि शुरुआती संख्या x है। इसे दोगुना करें: 2x। चार जोड़ें: 2x + 4। 2 से भाग दें: x + 2। मूल संख्या घटाएँ: x + 2 - x = 2. So the final answer is always 2.
2x + 4 को 2 से भाग देने पर जो उत्तर आता है, उसमें x का मान क्या है?
Answer
यह चाल का पूरा बीजगणितीय मार्ग दिखाता है। x से शुरू करके, चरण 2x + 4 तक ले जाते हैं, फिर 2 से भाग देते हैं, और अंत में x घटाते हैं। परिणाम हमेशा 2 होता है।…
What does the expression 2x + 4 divided by 2, minus x show in the number trick?
Answer
It shows the full algebraic path of the trick. Starting with x, the steps lead to 2x + 4, then divide by 2, and finally subtract x. The result is always 2.
How can the Think of a Number trick be changed to make the final answer 3 or 5?
Answer
The steps can be adjusted so the constant part at the end changes. For example, if the algebraic steps finally become x + 3 - x, the answer is 3. If they become x + 5 - x, the answer is 5.
अंतिम उत्तर 3 या 5 बनाने के लिए एक संख्या के बारे में सोचो को कैसे बदला जा सकता है?
Answer
चरणों को समायोजित किया जा सकता है ताकि अंत में स्थिर भाग बदल जाए। उदाहरण के लिए, यदि बीजगणितीय चरण अंत में x + 3 - x हो जाते हैं, तो उत्तर 3 है। यदि वे x + 5 - x हो जाते हैं, तो उत्तर 5 है।…
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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
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