Is \( 9,824,411 \) divisible by 11 ? Yes No

To determine if \( 9,824,411 \) is divisible by \( 11 \), we can use the divisibility rule for \( 11 \). According to this rule, a number is divisible by \( 11 \) if the difference between the sum of the digits in the odd positions and the sum of the digits in the even positions is either \( 0 \) or divisible by \( 11 \). Let's break down the digits of \( 9,824,411 \): - Odd position digits: \( 9, 8, 4, 1 \) - Even position digits: \( 2, 4, 1 \) Now, we will calculate the sums: 1. Sum of the odd position digits: \[ S_{\text{odd}} = 9 + 8 + 4 + 1 \] 2. Sum of the even position digits: \[ S_{\text{even}} = 2 + 4 + 1 \] Next, we will find the difference: \[ D = S_{\text{odd}} - S_{\text{even}} \] Let's calculate these values step by step. 1. Calculate \( S_{\text{odd}} \): \[ S_{\text{odd}} = 9 + 8 + 4 + 1 = 22 \] 2. Calculate \( S_{\text{even}} \): \[ S_{\text{even}} = 2 + 4 + 1 = 7 \] 3. Calculate the difference \( D \): \[ D = 22 - 7 = 15 \] Now, we check if \( D \) is divisible by \( 11 \): - \( 15 \) is not divisible by \( 11 \). Thus, \( 9,824,411 \) is **not** divisible by \( 11 \). The answer is **No**.