Big Ideas Math: Modeling Real Life, Grade 7
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5. Dividing Rational Numbers
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Exercise 9 Page 77

When considering the area model, assume that each square represents 0.1 square units.

Example Division Expression: 0.060.1 and 0.060.6
Quotients: 0.1 and 0.6

Practice makes perfect

We will start by looking at the area model. We can assume that each square represents 0.1 square units.

We want to write two division expressions that are represented by the area model. Let's count the number of colored squares.

Each side of the square represents 0.1 unit. There are 6 violet squares that have an area of 6* 0.1 * 0.1. There are 6 rows of blue squares and 1 column of pink squares. Let's write this information in a table!

Dividend Divisor Quotient
Expression 1 6* 0.1* 0.1=0.06 1* 0.1=0.1
Expression 2 6* 0.1* 0.1=0.06 6* 0.1=0.6
Looking at the table, we can see that there are two expressions that can be represented by the area model. Let's list both expressions. 0.06/0.1 and 0.06/0.6 Now we will find the quotients, starting with the first expression.
0.06/0.1
6100/110
6/100* 10/1
6* 10/100* 1
60/100
0.6
The first quotient is 0.6. Let's calculate the second quotient.
0.06/0.6
6100/610
6/100* 10/6
6* 10/100* 6
60/600
0.1
The second quotient is equal to 0.1. We can use this information to complete our table.
Dividend Divisor Quotient
Expression 1 0.06 0.1 0.6
Expression 2 0.06 0.6 0.1