Question

The model shows the expression 30 + 12. A model with 6 rows of 5 squares and 6 rows of 2 squares. Which expression is equivalent to this sum?

Answer 1

Given:

1.  The model has $6$ rows of $5$ squares and $6$ rows of $2$ squares.

2. The model shows the expression $30 + 12$.

To find:

The expression which equals the sum of $30+12$

Solution:

For the model of $6$ rows of $5$ squares, the total number of squares = $6\times5 = 30$

For the model of $6$ rows of $2$ squares, the total number of squares = $6\times2=12$

Now, for the entire model of $6$ rows of $5$ squares and $6$ rows of $2$ squares, the total number of squares $= 30+12=42$

Now, to find an expression that equals this sum, we need to employ properties of addition and multiplication.

Now, as per the expressions we previously obtained, the expression for the total number of squares $=(6\times5)+(6\times2) = 42$

After using the distributive property, the above expression can be rewritten as  $6\times (5+2)=6\times7=42$ . This expression which equals the sum of $30 + 12 = 42$.