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What is the value of \(44^2\)?

Answer and explanation

Correct answer: 1936

\(44^2=(40+4)^2=40^2+2\cdot40\cdot4+4^2=1600+320+16=1936\). Hence the correct value is 1936. The nearest distractors 1926 and 1946 are off by 10, while 1956 is off by 20, so they are incorrect. Exam tip: use the \((a+b)^2\) expansion for quick mental squaring of two-digit numbers or memorize squares up to 50.

Related tags

ExponentsSquaresNumber-SystemsMental-MathArithmeticNumber SystemsMathematicsClass 9 Mcq

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