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Given:
The expressions are:
[tex]6+3[/tex]
[tex]6+(-4)[/tex]
[tex]6+(-6)[/tex]
To find:
The value of given expression by using integer tiles.
Solution:
We have,
[tex]6+3[/tex]
Here, both number are positive. When we add 6 and 3 positive integer tiles, we get 9 positive integer tiles as shown in the below figure. So,
[tex]6+3=9[/tex]
Similarly,
[tex]6+(-4)[/tex]
Here, 6 is positive and -4 is negative. It means we have 6 positive integer tiles and 4 negative integer tiles.
When we cancel the positive and negative integer tiles, we get 2 positive integer tiles as shown in the below figure. So,
[tex]6+(-4)=2[/tex]
[tex]6+(-6)[/tex]
Here, 6 is positive and -6 is negative. It means we have 6 positive integer tiles and 6 negative integer tiles.
When we cancel the positive and negative integer tiles, we get 0 integer tiles as shown in the below figure. So,
[tex]6+(-6)=0[/tex]
Therefore, [tex]6+3=9, 6+(-4)=2,6+(-6)=0[/tex].
