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### Dividing Integers

• The rules for dividing integers are the same as the rules for multiplying integers.
• When multiplying integers with the same sign the answer will be positive. When multiplying integers with different signs, the answer will be negative.
• Dividing by a number is the same as multiplying by the reciprocal of that number. For example 10 • 1/2 = 5 and 10 ÷ 2 = 5.

### Dividing Integers

- 125 ÷ 5 ÷ - 5 =
• − 25 ÷− 5 =
5
- 120 ÷ - 6 ÷ - 5 =
• 20 ÷− 5 =
- 4
- 48 ÷ 2 ÷ - 4 ÷ - 2 =
• − 24 ÷− 4 ÷− 2 =
• 6 ÷− 2 =
- 3
- 6 ÷ ( - 2) × 7 ÷ ( - 3) =
• 3 ×7 ÷( − 3) =
• 21 ÷( − 3) =
- 7
36 ÷ ( - 12) × ( - 9) ÷ ( - 3) ÷ ( - 3) =
• You may evaluate the sign first. 4 negatives = + , positive
• 36 ÷12 ×9 ÷3 ÷3 =
• 3 ×9 ÷3 ÷3 =
• 27 ÷3 ÷3 =
• 9 ÷3 =
3
- 72 ÷ - 8 ÷ - 3 × - 5 ÷ - 3 =
• You may evaluate the sign first. 5 negatives = - , negative
• 72 ÷8 ÷3 ×5 ÷3 =
• 9 ÷3 ×5 ÷3 =
• 3 ×5 ÷3 =
• 15 ÷3 =
• 5
- 5
- 100 ÷ 5 ÷ (5 × - 2) ÷ - 2 =
• You may evaluate the sign first. 3 negatives = - , negative
• 100 ÷5 ÷(5 ×2) ÷2 =
• 100 ÷5 ÷10 ÷2 =
• 20 ÷10 ÷2 = =
• 2 ÷2 =
• 1
- 1
Evaluate the expression for x = 8 and y = - 10.
2y ÷ 4 + 6x ÷ ( - 4)
• 2( − 10) ÷4 + 6(8) ÷( − 4) =
• − 20 ÷4 + 48 ÷( − 4) =
• − 5 + ( − 12) =
- 17
Evaluate the expression for a = 5 and b = 21.
- | - a| × ( - 3) + b ÷ ( - 7) + 4( - 2)
• − | − 5| ×( − 3) + 21 ÷( − 7) + 4( − 2) =
• − (5) ×( − 3) + 21 ÷( − 7) + 4( − 2) =
• − 5 ×( − 3) + 21 ÷( − 7) + 4( − 2) =
• − 5 ×( − 3) + 21 ÷( − 7) + ( − 8) =
• 15 + ( − 3) + ( − 8) =
• 15 − 3 − 8 =
• 12 − 8 =
4
A scuba diver is diving into the ocean. She swims 80 feet down in 40 seconds. Find her average rate of change in feet per second.
• - 80 feet ÷ 40 seconds =
- 2 feet/second

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

### Dividing Integers

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• What You'll Learn and Why 0:06
• Topics Overview
• Vocabulary 0:27
• Quotient
• Rules for Dividing Integers 0:49
• Rules for Dividing Integers, cont. 2:06
• Arithmetic (Different Signs Integers)
• Algebraic (Different Signs Integers)
• Dividing Integer Examples 3:24
• Dividing Integers: 14 ÷ 7
• Dividing Integers: 45 ÷ (-9)
• Dividing Integer Examples 3:51
• Dividing Integers: (-105) ÷ (-15)
• Dividing Integers: (-42) ÷ 6
• Average Rate of Change 5:17
• Using Integers to Represent the Situation
• Example: Spend \$360 in 6 Days
• Example: Runs 1000 Feet in 4 Minutes
• Average Rate of Change Word Problems 7:27
• Example: Average Decrease in Value
• Average Rate of Change Word Problems 9:19
• Example: Average Increase in Stock
• Average Rate of Change Word Problems 10:46
• Example: Average Increase in Speed
• Dividing Integers 12:00
• Odd Number of Negatives
• Even Number of Negatives
• Order of Operations and Sign of Final Answer 13:50
• Example: -120 ÷ (-5) ÷ -4
• Extra Example 1: Order of Operations 14:48
• Extra Example 2: Evaluate the Expression 15:29
• Extra Example 3: Rate of Change 17:18
• Extra Example 4: Rate of Evaporation 19:22