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Negative numbers
Content
• Introduction of negative numbers
• Ordering of negative numbers
• Addition, subtraction, multiplication and
division of negative numbers
Introducing negative numbers
• Whole numbers
• Integers
Comparing the numbers
• 3∎5
• -3∎-5
Remember
The numbers get larger as you move to the right
and get smaller as you move to the left.
Questions
1. -6 ∎ - 9
2. -30 ∎ -23
3. -200 ∎ -300
Now let’s write these numbers in descending
order.
Addition and Subtraction
• Rule 1
Adding a negative number is the same as subtracting a positive number.
7+-4=7-4=3
• Rule 2
Subtracting a negative number is the same as adding a positive number.
7-(-4)=7+4=11
If the operations start with the
negative numbers, then ???????
-6+-3=-6-3
-6-(-3)=-6+3
Let’s solve
• 3-(-2)
• 5+-6
• -9+-3
• -8-(-6)
Multiplication and division
Rule 1
Multiplying or dividing the number by negative number is the same as
switching the sign of the number.
× -3=-21
× × -3=21
7
-7
• Rule 2
If the amount of negative numbers is even, the answer will be positive.
-4×-2×-3×-5=120 (4 negative numbers)
• Rule 3
If the amount of negative numbers is odd, the answer will be negative.
-3×-5×-6=-90 (3 negative numbers)
Let’s solve the following questions
1. The temperature at 10 am was -7 degrees F. By noon, the
temperature had dropped by 12 degrees F. By 2 pm, it had
dropped another 5 degrees F. What was the temperature at 2 pm?
2. Mr. Lovell was playing cards with his son. In the first round he
earned 52 points. In the second round he lost 20 points. How
would you write this as an addition problem?
3. A football team gained 6 yards on a first down, lost 15 yards on
the second down, and gained 12 yards on the third down. How
many yards do they need to gain on the fourth down to have a 10
yard gain from their starting position?
Lesson 1. Negative numbers.pptxmathematics

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Lesson 1. Negative numbers.pptxmathematics

  • 2. Content • Introduction of negative numbers • Ordering of negative numbers • Addition, subtraction, multiplication and division of negative numbers
  • 3. Introducing negative numbers • Whole numbers • Integers
  • 4. Comparing the numbers • 3∎5 • -3∎-5
  • 5. Remember The numbers get larger as you move to the right and get smaller as you move to the left.
  • 6. Questions 1. -6 ∎ - 9 2. -30 ∎ -23 3. -200 ∎ -300 Now let’s write these numbers in descending order.
  • 7. Addition and Subtraction • Rule 1 Adding a negative number is the same as subtracting a positive number. 7+-4=7-4=3 • Rule 2 Subtracting a negative number is the same as adding a positive number. 7-(-4)=7+4=11
  • 8. If the operations start with the negative numbers, then ??????? -6+-3=-6-3 -6-(-3)=-6+3
  • 9. Let’s solve • 3-(-2) • 5+-6 • -9+-3 • -8-(-6)
  • 10. Multiplication and division Rule 1 Multiplying or dividing the number by negative number is the same as switching the sign of the number. × -3=-21 × × -3=21 7 -7
  • 11. • Rule 2 If the amount of negative numbers is even, the answer will be positive. -4×-2×-3×-5=120 (4 negative numbers) • Rule 3 If the amount of negative numbers is odd, the answer will be negative. -3×-5×-6=-90 (3 negative numbers)
  • 12. Let’s solve the following questions 1. The temperature at 10 am was -7 degrees F. By noon, the temperature had dropped by 12 degrees F. By 2 pm, it had dropped another 5 degrees F. What was the temperature at 2 pm? 2. Mr. Lovell was playing cards with his son. In the first round he earned 52 points. In the second round he lost 20 points. How would you write this as an addition problem?
  • 13. 3. A football team gained 6 yards on a first down, lost 15 yards on the second down, and gained 12 yards on the third down. How many yards do they need to gain on the fourth down to have a 10 yard gain from their starting position?