Chapter ISG, Problem 1.3.11P

a.

To determine

To write two different expressions using distributive property

Answer to Problem 1.3.11P

  $r\times m+r\times n$ and $r(m+n)$ are the two expressions.

Explanation of Solution

Given information:

m number of seats in left side of aisle, n number of seats in right side of aisle. There are r rows

Calculation:

Total number of seats are= seats on left side + seats on right side.

Substituting values,

Total seats= $r\times m+r\times n$

This is the first expression,

Now using distributive property,

Total seats= $r(m+n)$

This is the 2^nd expression.

ii.

To determine

To check the statement

Answer to Problem 1.3.11P

Total seats= $2r\times m+r\times n$

The number of seats in the theatre doesn’t double.

Explanation of Solution

Given information:

Rows in left aisle is double

Calculation:

According to question,

Rows in left aisle before= $r\times m$

And,

rows in left aisle now= $2r\times m$

Putting in expression,

Total seats= $r\times m+r\times n$

Put value of new aisle row,

Total seats= $2r\times m+r\times n$

The number of seats in the theatre doesn’t double.