Consider a section of a number line

Visualizing that number line as a table can help learners perform arithmetic more quickly by introducing a skip counting shortcut using the 10s column for example.

A simple example:
Consider the equation: 12 + 27 = ???.   Starting at 12, and counting by one we eventually arrive at the answer (39) using brute force. However, by skip counting by 10 we reduce the number of incremental calculations by 18...and arrive at the answer faster. The technique can be taught by showing the number line as a table or chart using 10 columns and as many rows as needed (we use 10 rows here by limiting our highest sum to 100.)

Using the table, begin by finding the cell containing the number 12 (the first number in our example). Because the problem involves addition, proceed toward 100 by moving down for tens, then right for ones.

For example, move down by 2 (the "2" in 27). Then, move to the right by 7 (the "7" in 27). You should end up at 39, which is the answer to our problem: 12 + 27 = 39.

Subtraction works in reverse by moving up for tens, and left for ones.

To begin:
Press the "New Problem" button to create a random problem and solve it using a hundreds table chart.

Need a tip?
When you check the show tip box. The starting box is colored blue, the 10s column is walked in grey, then the 1s column is walked in lighter grey, and finally the answer is colored green.

About this utility:
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