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Evaluate: 37 times (-52)...

Evaluate: `37 times (-52)`

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To evaluate the expression `37 times (-52)`, we can follow these steps: ### Step 1: Identify the numbers We have two numbers: 37 (a positive integer) and -52 (a negative integer). ### Step 2: Multiply the absolute values First, we will multiply the absolute values of the two numbers: - The absolute value of 37 is 37. - The absolute value of -52 is 52. Now we multiply these two values: \[ 37 \times 52 \] ### Step 3: Perform the multiplication To multiply 37 by 52, we can do it step by step: 1. Multiply 37 by 2: \[ 37 \times 2 = 74 \] 2. Multiply 37 by 5 (which is actually 50 since we are multiplying by 52): \[ 37 \times 5 = 185 \quad \text{(Remember to add a zero for the tens place)} \] So, \( 37 \times 50 = 1850 \). 3. Now, add the two results together: \[ 74 + 1850 = 1924 \] ### Step 4: Determine the sign of the result Since we are multiplying a positive number (37) by a negative number (-52), the result will be negative: \[ 37 \times (-52) = -1924 \] ### Final Answer The final result of \( 37 \times (-52) \) is: \[ \boxed{-1924} \] ---
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