# 2.04 Practical problems with rational numbers

## Interactive practice questions

Consider the following sentence:

$-6$6 is added to the product of $2$2 and $-4$4.

a

Without simplifying the result, translate this sentence into a mathematical expression.

b

Evaluate the expression.

Easy
Approx 2 minutes

Consider the following sentence:

The sum of $-8$8 and the quotient of $-40$40 and $4$4

Consider the following phrase:

The quotient of $-3$3 and the sum of $7$7 and $6$6 .

Determine whether the following statements are true or false:

### Outcomes

#### 7.NS.A.3

Solve mathematical problems and problems in real-world context involving the four operations with rational numbers. Computations with rational numbers extend the rules for manipulating fractions to complex fractions where a/b ÷ c/d when a,b,c,and d are all integers and b,c, and d ≠ 0.

#### 7.EE.B.3

Solve multi-step mathematical problems and problems in real-world context posed with positive and negative rational numbers in any form. Convert between forms as appropriate and assess the reasonableness of answers. For example, if a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or$2.50, For a new salary of \$27.50 Per hour.