Question

Use the integer tiles to evaluate the following expressions. 6 + 3 = 6 + (–4) = 6 + (–6) =

Answer 1

Given:

The expressions are:

$6+3$

$6+(-4)$

$6+(-6)$

To find:

The value of given expression by using integer tiles.

Solution:

We have,

$6+3$

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,

$6+3=9$

Similarly,

$6+(-4)$

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,

$6+(-4)=2$

$6+(-6)$

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,

$6+(-6)=0$

Therefore, $6+3=9, 6+(-4)=2,6+(-6)=0$.