6th Grade Math Textbook, Fundamentals

 &KDSWHU

2-7

Key Concept

Multiplication Property of Equality

When you multiply both sides of an

equation by the same number, you

get a true statement.

If ab, then acbc.

Think

Whenever you multiply one side

of an equation by a number,

you must multiply the other side

by the same number to keep

the equation in balance.

The new equation is equivalent

to the original equation.

division equation

To solve a division equation, use the

. Remember that multiplication
and division are inverse operations.

Solve:  68 n7 means

(7) 68(7)

 476 Simplify.

n 476

Check:  68

68 Substitute 476 for n.

68 Simplify.

68  68 Tr u e

So 476 is the solution of the division equation.

The Explorers scored a total of 476 points in seven games.

n

7

(^476) ?
7
68
1
(^476) ?
7
n
7
7
7
1
1
7 • n n
1 • 7
Multiply both sides
by 7 to isolate n.
n
7
n
7
Property of Equality
Multiplication
Solve:  4 
(5)(4) (5)
 20  Simplify.
 20 n
n
5
n
5
n
5
5
1
1

Multiply both sides
by 5 to isolate n.
1 Check: 4 
 4 Substitute 20 for n.
 4  4 Tr u e
 20
5
n
5
?

Solve Division Equations
Objective To apply the Multiplication Property of Equality to solve
algebraic division equations with integers
The Explorers basketball team scored an average of
68 points per game during seven games. What was
the total number of points scored in the seven games?

To find the total number of points scored in the seven

games, write and solve a.

Let nthe total number of points scored in seven games.

n 7  68

number of games played average points scored per game

division equation