Find the sum:
| \(\displaystyle +\) | \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle 7\) |
| \(\displaystyle 1\) | \(\displaystyle 7\) | \(\displaystyle 6\) | |
1. First, we add the ones of the number \(\displaystyle 53\underline{7}\) (this is the number \(\displaystyle 7\)) with the ones of the number \(\displaystyle 17\underline{6}\) (this is the number \(\displaystyle 6\)):
\(\displaystyle 7 + 6 = 13{\small . }\)
We write \(\displaystyle 3\) (ones of the number \(\displaystyle 1\underline{3}\)), and \(\displaystyle 1\) (tens of \(\displaystyle \underline{1}3\)) moves to the tens place for further addition.
| \(\displaystyle {\small 1}\) |
| \(\displaystyle +\) | \(\displaystyle 5\) | \(\displaystyle 3\) | \(\displaystyle \color{red}{7}\) |
| \(\displaystyle 1\) | \(\displaystyle 7\) | \(\displaystyle \color{red}{6}\) | |
| \(\displaystyle ?\) | \(\displaystyle ?\) | \(\displaystyle \color{red}{\bf3}\) |
2. Add tens \(\displaystyle 3 + 7\) and add \(\displaystyle 1\) from the previous step:
\(\displaystyle 3 + 7 + 1 = 11{\small . }\)
We write \(\displaystyle 1\) (ones of the number \(\displaystyle 1\underline{1}\)), and \(\displaystyle 1\) (tens of the number \(\displaystyle \underline{1}1\)) moves to the hundreds place for further addition.
| \(\displaystyle \) | \(\displaystyle {\small 1}\) | \(\displaystyle \color{red}{\small +1}\) |
| \(\displaystyle +\) | \(\displaystyle 5\) | \(\displaystyle \color{red}{3}\) | \(\displaystyle 7\) |
| \(\displaystyle 1\) | \(\displaystyle \color{red}{7}\) | \(\displaystyle 6\) | |
| \(\displaystyle ?\) | \(\displaystyle \color{red}{\bf1}\) | \(\displaystyle 3\) |
3. We add hundreds \(\displaystyle 5 + 1\) and add \(\displaystyle 1\) from the previous step:
\(\displaystyle 5+1+1=7{\small . }\)
| \(\displaystyle \color{red}{\bf{\small +1}}\) | \(\displaystyle \) | \(\displaystyle \) |
| \(\displaystyle +\) | \(\displaystyle \color{red}{5}\) | \(\displaystyle 3\) | \(\displaystyle 7\) |
| \(\displaystyle \color{red}{1}\) | \(\displaystyle 7\) | \(\displaystyle 6\) | |
| \(\displaystyle \color{red}{\bf7}\) | \(\displaystyle 1\) | \(\displaystyle 3\) |
Therefore,
\(\displaystyle 537 + 176 = 713{\small . }\)
Answer: \(\displaystyle 713{\small . }\)