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Solve using brackets: 497xx98...

Solve using brackets:
`497xx98`

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The correct Answer is:
To solve the problem \( 497 \times 98 \) using brackets, we can break down the numbers into simpler components. Here’s a step-by-step solution: ### Step 1: Rewrite the numbers We can express \( 497 \) and \( 98 \) in a way that makes multiplication easier: - \( 497 = 500 - 3 \) - \( 98 = 100 - 2 \) ### Step 2: Set up the expression Now we can rewrite the multiplication: \[ 497 \times 98 = (500 - 3) \times (100 - 2) \] ### Step 3: Apply the distributive property Using the distributive property (also known as the FOIL method for binomials), we expand the expression: \[ (500 - 3) \times (100 - 2) = 500 \times 100 - 500 \times 2 - 3 \times 100 + 3 \times 2 \] ### Step 4: Calculate each term Now we calculate each term: 1. \( 500 \times 100 = 50000 \) 2. \( 500 \times 2 = 1000 \) 3. \( 3 \times 100 = 300 \) 4. \( 3 \times 2 = 6 \) ### Step 5: Combine the results Now we can substitute these values back into the expression: \[ 50000 - 1000 - 300 + 6 \] ### Step 6: Perform the subtraction and addition 1. First, subtract \( 1000 \) from \( 50000 \): \[ 50000 - 1000 = 49000 \] 2. Next, subtract \( 300 \): \[ 49000 - 300 = 48700 \] 3. Finally, add \( 6 \): \[ 48700 + 6 = 48706 \] ### Final Answer Thus, the final answer for \( 497 \times 98 \) is: \[ \boxed{48706} \]
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