Fundamentals of Math

Fundamentals of Mathematics

To divide integers on the number line, like in −4 ÷ −2 begin by locating the first number (−4) on the number line. You will need to divide the distance between 0 and the first number (−4) into an equal number of parts indicated by the second number (−2) . Again, refer to figure 1.4.2 to determine the final sign of the quotient.

Figure 1.4.4 Dividing Integers on a Number Line

There, we can conclude −4 ÷ −2 is 2 .

Practice 1.4.2 Directions: Identify the product or quotient of each expression.

1. −2 × −5

2. −6 ÷ −2

3. 6(3)

4. 15 ÷ −3

5. 15 × 0

6. 10 ÷ 5

7. −2(7)

8. −12 ÷ 4

9. 1 × −4

10. 14 ÷ −7

Answer Key on Page 116

1.5 Order of Operations Let's say you are presented with a problem like "what is 5 + 3 × 4 "? At first glance, you are left with a conundrum because you could, in theory, solve this two ways:

1. Add 3 to 5 and then multiply by 4 which results in 32 -- OR 2. Multiply 3 times 4 and then add 5 which results in 19

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