\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)

Ten's Complement

Ten's Complement


Let's become number detectives! Our mission is to find the secret number pairs that team up to make our special number, 10.
Imagine we have a ten-frame, which is like a box that can hold exactly 10 counters. Right now, there are 7 counters in the box.
How many empty spaces are there? How many more counters do we need to make a full ten?

By counting the empty spaces, we can see that we need 3 more counters to make 10.
The number 3 is the complement of 7 because together, they make 10!


Definition 10's Complement
The 10's complement is the number we add to make 10.
Number Complement Equation Cubes Circles Fingers
\(\textcolor{colordef}{1}\) \(\textcolor{colorprop}{9}\) \(\textcolor{colordef}{1}+\textcolor{colorprop}{9}=10\) \(+\)\(=\)
\(\textcolor{colordef}{2}\) \(\textcolor{colorprop}{8}\) \(\textcolor{colordef}{2}+\textcolor{colorprop}{8}=10\) \(+\)\(=\)
\(\textcolor{colordef}{3}\) \(\textcolor{colorprop}{7}\) \(\textcolor{colordef}{3}+\textcolor{colorprop}{7}=10\) \(+\)\(=\)
\(\textcolor{colordef}{4}\) \(\textcolor{colorprop}{6}\) \(\textcolor{colordef}{4}+\textcolor{colorprop}{6}=10\) \(+\)\(=\)
\(\textcolor{colordef}{5}\) \(\textcolor{colorprop}{5}\) \(\textcolor{colordef}{5}+\textcolor{colorprop}{5}=10\) \(+\)\(=\)
\(\textcolor{colordef}{6}\) \(\textcolor{colorprop}{4}\) \(\textcolor{colordef}{6}+\textcolor{colorprop}{4}=10\) \(+\)\(=\)
\(\textcolor{colordef}{7}\) \(\textcolor{colorprop}{3}\) \(\textcolor{colordef}{7}+\textcolor{colorprop}{3}=10\) \(+\)\(=\)
\(\textcolor{colordef}{8}\) \(\textcolor{colorprop}{2}\) \(\textcolor{colordef}{8}+\textcolor{colorprop}{2}=10\) \(+\)\(=\)
\(\textcolor{colordef}{9}\) \(\textcolor{colorprop}{1}\) \(\textcolor{colordef}{9}+\textcolor{colorprop}{1}=10\) \(+\)\(=\)