Grade 6 Integers: Mixed Operations

Worked examples

Real problems from the practice worksheets, solved one step at a time.

1. Example 1

   (−20) ÷ (−4) = ?

   1. Divide the numbers without their signs: 20 ÷ 4 = 5.
   2. The signs are the same, so the answer is positive.
   3. (−20) ÷ (−4) = 5

   Answer: 5

2. Example 2

   3 − (−12) = ?

   1. Subtracting is adding the opposite: 3 − (−12) = 3 + 12.
   2. Both numbers have the same sign: add 3 + 12 = 15 and keep the sign.
   3. 3 − (−12) = 15

   Answer: 15

3. Example 3

   2 × (−2) = ?

   1. Multiply the numbers without their signs: 2 × 2 = 4.
   2. The signs are different, so the answer is negative.
   3. 2 × (−2) = −4

   Answer: −4