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Find the value of the following: 54279...

Find the value of the following:
`54279xx92+8xx54279`

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The correct Answer is:
To solve the expression \( 54279 \times 92 + 8 \times 54279 \), we can use the distributive property of multiplication. Here’s how we can do it step by step: ### Step 1: Identify the common factor We notice that both terms in the expression share a common factor, which is \( 54279 \). ### Step 2: Factor out the common term Using the distributive property, we can rewrite the expression as: \[ 54279 \times 92 + 8 \times 54279 = 54279 \times (92 + 8) \] ### Step 3: Simplify the expression inside the parentheses Now, we calculate the sum inside the parentheses: \[ 92 + 8 = 100 \] ### Step 4: Substitute back into the expression Now we can substitute back into our factored expression: \[ 54279 \times (92 + 8) = 54279 \times 100 \] ### Step 5: Calculate the final multiplication Now, we perform the multiplication: \[ 54279 \times 100 = 5427900 \] Thus, the final answer is: \[ \boxed{5427900} \]
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MTG IIT JEE FOUNDATION-WHOLE NUMBERS -NCERT SECTION (EXERCISE 2.2)
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