Mathlesson-3-operations-on-integers.pptx

1. Good day grade 7! Ma’am Renz Aimee D. Garcia

2. Module 3 OPERATIONS ON INTEGERS

3. Objectives: Perform operations on integers.

4. Unlocking vocabulary positive integer : whole numbers to the left of zero. POSITIVE NEGATIVE Negative integer : Whole numbers to the right of zero. Integers: A positive or negative number. 1 -1 -2 2 4 1 6 12 25 -4 -1 -6 -12 -25

5. Unlocking vocabulary absolute value : the distance from zero. Example :1 Distance of 3 from zero. 1 2 3 Since the distance of 3 from zero is 3, then the absolute value of 3 is +3 1 2 3 Example :1 Distance of -3 from zero. Since the distance of -3 from zero is 3, then the absolute value of -3 is +3

6. Since there is no such negative distance, Therefore, the absolute value of : a. any positive integer is positive. B. zero is zero c. any negative integer is positive.

7. Module 3.0 Adding integers with same sign. Adding integers with different sign.

8. Sign rules in addition of integers RULE 1: If the integers have the same signs, just add the positive equivalents of the integers and copy the common sign to the result. (+) + (+)=(+)sum (-) + (-) = (-) sum

9. -8 +- 7 = -15 8 +7 = 15

10. Try this! Get the sum of the following: 7 + 6= (-7) + (-3)= 5+5+9+3= (-7) + (-3)+(-9)= 13 -10 -19 22

11. Sign rules in addition of integers Rule 2 : If the integers have different signs, get the difference of the positive equivalents of the integers and copy the sign of the larger number to the result. (+) bigger number + (-)smaller =(+)difference (+)smaller number + (-)bigger = (-) difference

12. -8 + 7 = -1 8 +(- 7 )= 1

13. Try this! Get the sum of the following: 7 + (-6)= (-7) + 3= 5+(-5)+9+(-3)= (-7) + (3)+(-9)= 1 -4 -16 6 8 + (-8)=

14. Adding Integers song (row row tune…) Same sign add and keep, Different sign subtract Copy the sign of the bigger number then you’ll be exact

15. Module 3.1 Subtracting integers.

16. To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. Example: 14 - (-6) = 14 + 6 = 20 If both signs are negative, the answer will be negative. Example: -14 - (+6) = -14 - 6 = -20 If the signs are different, subtract the smaller absolute value from the larger absolute value. The sign will be the sign of the integer that produced the larger absolute value. Example: 14 - (+6) = 14 - 6 = 8 Example: -14 - (-6) = -14 + 6 = -8

17. Sign rules in subtraction of integers (+) - (+)=(+) + (-) (+) - (-)=(+) + (+) (-) - (+)=(-) + (-) (-) - (-)=(-) + (+)

18. 9 - 11= 9 + (-11) = -2 9 - (- 11)= 9 + 11 = 20 -9 - (- 11)= -9 + 11 = 2 -9 - 11= -9 +(- 11 ) = -20

19. 13 - 11= 13 + (-11) = 2 21 - (- 31)= 21 + 31 = 52 -8 - (- 11)= -8 + 11 = 3 -19 - 11= -19 +(- 11 ) = -30 TRY THIS!

20. Module 3.2-3.3 MULTIPLYING integers. DIVIDING INTEGERS

21. Sign rules in multiplication and division of integers Rule 1: multiplying/dividing same signs the result is positive (+) x (+) = (+) (+) ÷(+) = (+) (-) x (-) = (+) (-) ÷ (-) = (+)

22. 8 x 5 = 40 -8 x -5 = 40 40 ÷ 8 = 5 -40 ÷ -8 = 5

23. 8 x 9 = 72 (-9) x (-5) = 45 56 ÷ 8 = 7 -64 ÷ -8 = 8 TRY THIS!

24. Sign rules in multiplication and division of integers Rule 2: multiplying/dividing unlike signs the result is negative (+) x (-) = (-) (+) ÷(-) = (-) (-) x (+) = (-) (-) ÷ (+) = (-)

25. 8 x- 5 = -40 8 x -5 = -40 -40 ÷ 8 = -5 40 ÷ -8 = -5

26. (-8) x 9 = -72 9 x (-5) = -45 (-56) ÷ 8 = -7 64 ÷ -8 = -8 TRY THIS!

27. -6 x -2 x -3=-36 3 -6 x -2 x -3 x -2=72 4 -6 x -2 x -3 x -2 x -1 =-72 5 -6 x -2 x -3 x -2 x -1 x -2=144 6

28. 9+8 x 2 - 3=9 +16-3=25-3=22 [-(2 x -3 -8) + (8-16)]=[-(-6-8)+(8+(-16))] =[-(-6+(-8))+(-8)] =[-(-14) +(-8)] =14 +(-8) =6