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Question

Simplify the given expression-
$21 \times (23 - 12) - ((-1 \times 10) + 21)$

The correct answer is
220

Simplify Expression Calculation

Simplify the expression $21 \times (23 - 12) - ((-1 \times 10) + 21)$ using the order of operations (PEMDAS/BODMAS).

Expression Simplification

  1. Parentheses: Simplify inside the parentheses first. Calculate $(23 - 12)$ resulting in $11$. Calculate $(-1 \times 10)$ resulting in $-10$. The expression becomes: $21 \times 11 - (-10 + 21)$.
  2. Parentheses: Simplify the remaining part inside the second parenthesis. Calculate $(-10 + 21)$ resulting in $11$. The expression becomes: $21 \times 11 - 11$.
  3. Multiplication: Perform the multiplication. Calculate $21 \times 11$ resulting in $231$. The expression becomes: $231 - 11$.
  4. Subtraction: Perform the final subtraction. Calculate $231 - 11$ resulting in $220$.

Final Result

The simplified value of the expression is $220$.

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Important Questions from Integers

  1. The average of eleven consecutive positive integers is d. If the last two numbers are excluded, by how much will the average increase or decrease?
  2. The numerator of fraction is 3 more than the denominator. When 5 is added to the numerator and 2 is subtracted from the denominator, the fraction becomes 8/3, When the original fraction is divided by \(5 \frac{1}{2}\) , the fraction so obtained is:

  3. The sum of a non - zero number and twenty times its reciprocal is 9. What is the number?

  4. If \(\frac{{45}}{{53}} = \frac{1}{{a + \frac{1}{{b + \frac{1}{{c - \frac{2}{5}}}}}}},\)  where a, b and c are positive integers, then what is the value of (4a - b + 3c)

  5. The denominator of a fraction is 4 more than the double of its numerator. When 3 is added to the numerator and 3 is subtracted from denominator the fraction becomes 2/3. Then find the difference between denominator and numerator of the original fration. 

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