Question

Complete the following. Then identify a pattern. 3 3 = 1.3= 2.4= Difference = Difference = 4.4= 5.5 = 3 - 5 = Difference = Difference =

Answer 1

The difference is always 1.

Step-by-step explanation:

For the top left operation, we have

`\begin{gathered} 2\cdot2=4 \\ 1\cdot3=3 \\ ------ \\ \text{difference = 4 - 3 = 1} \end{gathered}`

For the top right

`\begin{gathered} 3\cdot3=9 \\ 2\cdot4=8 \\ ------- \\ \text{difference = 9 - 8 =1} \end{gathered}`

For the bottom left, we have

`\begin{gathered} 4\cdot4=16 \\ 3\cdot5=15 \\ --------- \\ \text{difference = 16 - 15 = 1} \end{gathered}`

Finally, for the bottom right operation, we have

`\begin{gathered} 5\cdot5=25 \\ 4\cdot6=24 \\ -------- \\ \text{difference = 25 - 24 = 1} \end{gathered}`

We notice that the difference of numbers in all operations is 1. Furthermore , at the top left, we have 2*2, then to top right we have 3 * 3; to bottom left 4*4; to bottom right 5*5.

In other words, the top expression in operations starts from 2 * 2 and goes to 5 *5.

Similary, for the expressions at the bottom of the operation, we start from 1 * 3 at top left and end at 4 * 6 at bottom right. Meaning the mulipicand on the left increases by 1 as we move from one operation to another.