Skill: Identify patterns in a hundreds chart

A hundreds chart helps you see how numbers change when you move from one square to another:

• Move right 1 square: add $1$.
• Move left 1 square: subtract $1$.
• Move down 1 square: add $10$.
• Move up 1 square: subtract $10$.

A diagonal move can combine these changes. Moving down and right adds $10+1=11$.

Example: Find the next number in the pattern:

$$24,\ 35,\ 46,\ 57,\ \_\_$$

1. Find $24$ on the hundreds chart.
2. Move down one square to add $10$:
   $24+10=34$.
3. Move right one square to add $1$:
   $34+1=35$.

So each diagonal move down and right adds $11$.

Continue the pattern:

$$57+11=68$$

The missing number is:

$$\boxed{68}$$

You can also notice the digit pattern:

• Ones digits: $4,5,6,7,8$
• Tens digits: $2,3,4,5,6$

Both digits increase by $1$ each time because the move is one down and one right.