Answer:
Explanation:
Let's solve these calculations using the order of operations (BODMAS or PEMDAS):
First calculation:
![\[ 14 + (80 - 17) * 10 + 1 \]](https://img.qammunity.org/2024/formulas/mathematics/college/lbfysjgawkq7fcrfwyvk2b3bvqhv6ztaxe.png)
Step 1: Solve within parentheses:
![\[ 14 + 63 * 10 + 1 \]](https://img.qammunity.org/2024/formulas/mathematics/college/eyl6wexpqkziq7trkcc86638mt3n8urgme.png)
Step 2: Perform multiplication:
![\[ 14 + 630 + 1 \]](https://img.qammunity.org/2024/formulas/mathematics/college/b8sgnyjlh1wsqom5bwwc50a8ydj85tqtmh.png)
Step 3: Perform addition:
![\[ 645 \]](https://img.qammunity.org/2024/formulas/mathematics/college/r6r0e8i5awhzc3rz470h9c9vq840bk3u9u.png)
Second calculation:
![\[ 15 + 2(26 / 2) - 20 \]](https://img.qammunity.org/2024/formulas/mathematics/college/jb6lxp62vc47e89fccqvrotpuvyqxe90wu.png)
Step 1: Solve within parentheses (division first):
![\[ 15 + 2 * 13 - 20 \]](https://img.qammunity.org/2024/formulas/mathematics/college/y9zayvww56pehfp9glnu6kk946e0lr8ejv.png)
Step 2: Perform multiplication:
![\[ 15 + 26 - 20 \]](https://img.qammunity.org/2024/formulas/mathematics/college/8zc2k2ngzkqxdcjod37ok88hgst7ifzhjm.png)
Step 3: Perform addition and subtraction:
![\[ 21 \]](https://img.qammunity.org/2024/formulas/mathematics/college/55xpvefulcwvmgrqoy05p3xg2tf0vd7mgu.png)
So, the results are:
![\[ 14 + (80 - 17) * 10 + 1 = 645 \]\[ 15 + 2(26 / 2) - 20 = 21 \]](https://img.qammunity.org/2024/formulas/mathematics/college/74vzzkchdvrmwvib4ox4fu8k3693m3htnu.png)