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Evaluate the following 6 xx 9...

Evaluate the following
`6 xx 9`

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To evaluate the expression `6 xx 9`, we will follow these steps: ### Step 1: Understand the multiplication We need to evaluate the multiplication of 6 and 9. This can be represented as: \[ 6 \times 9 \] ### Step 2: Break down the numbers To understand the multiplication better, we can express 6 and 9 in terms of simpler numbers: - \( 6 = 10 - 4 \) - \( 9 = 10 - 1 \) ### Step 3: Set up the multiplication Now we can rewrite the multiplication using these expressions: \[ (10 - 4) \times (10 - 1) \] ### Step 4: Use the distributive property We will apply the distributive property (also known as the FOIL method for binomials): \[ (10 - 4)(10 - 1) = 10 \times 10 - 10 \times 1 - 4 \times 10 + 4 \times 1 \] ### Step 5: Calculate each part Now, we will calculate each part: 1. \( 10 \times 10 = 100 \) 2. \( 10 \times 1 = 10 \) 3. \( 4 \times 10 = 40 \) 4. \( 4 \times 1 = 4 \) ### Step 6: Combine the results Now we combine these results: \[ 100 - 10 - 40 + 4 \] ### Step 7: Perform the subtraction and addition 1. First, subtract 10 from 100: \[ 100 - 10 = 90 \] 2. Next, subtract 40 from 90: \[ 90 - 40 = 50 \] 3. Finally, add 4 to 50: \[ 50 + 4 = 54 \] ### Final Answer Thus, the value of \( 6 \times 9 \) is: \[ \boxed{54} \] ---
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