Questions: Travis thinks that 95 × 11=190 because 95 × 1=95 and 95 × 1=95. The sum of 95 and 95 is 190 . Is Travis correct? Explain.

Transcript text: Travis thinks that $95 \times 11=190$ because $95 \times 1=95$ and $95 \times 1=95$. The sum of 95 and 95 is 190 . Is Travis correct? Explain.

Solution

Solution Steps

To determine if Travis is correct, we need to verify the multiplication of 95 by 11. Travis's approach of adding 95 twice is incorrect because it only accounts for multiplying by 2, not 11. We will use Python to calculate the correct product of 95 and 11.

Step 1: Understanding Travis's Mistake

Travis believes that $ 95 \times 11 = 190 $ by incorrectly adding $ 95 $ twice, which only calculates $ 95 \times 2 $. The correct multiplication should be $ 95 \times 11 $.

Step 2: Calculating the Correct Product

To find the correct value of $ 95 \times 11 $, we perform the multiplication: \[ 95 \times 11 = 1045 \]

Step 3: Conclusion

Since $ 1045 \neq 190 $, Travis's assertion is incorrect. The correct product of $ 95 $ and $ 11 $ is $ 1045 $.