1. Operations with INTEGERS
ADDING INTEGERS
SUBTRACTING INTEGERS
MULTIPLY INTEGERS
DIVIDE INTEGERS

2. ADDING INTEGERS -6 + 3 = 9 + 12 = 15 + -8 = -24 + -10 =
Same Signs = ADD and Keep the Sign
Different Signs = SUBTRACT and take the sign of the larger number = = = =
On a certain day in NYC, the temperature was -4 degrees. On that same day, the temp in Austin was 47 degrees. What was the difference in the two temperatures?

3. Now, on the left side of your notebook, let’s try a few using a number line to help us….
We can also use positive and negative counters or “chips”:

4. SUBTRACTING INTEGERS -6 - 9 = 15 – (-7) = -22 – (-11)= 8 – 10 =
KEEP, CHANGE, SWITCH!!!
(Leave, Change, Opposite)
Same Signs = ADD
Different Signs = SUBTRACT
The temperature at noon was -3 degrees. By 10 pm on the same day the temperature decreased by 5.4 degrees. What was the temp. at 10 pm? =
15 – (-7) =
-22 – (-11)=
8 – 10 =

5. Now, on the left side of your notebook, try these on your own:
-30 – 14 = = 4 – (-6) = 3 – 18 = – 10 =

6. Practice with Integers
Complete the Integers Practice Sheet (front and back). Show all of your work and check your answers with a number line or chips!
Complete 2 rows at a time. Then, take your paper to a solution station to check your answers. Make corrections to the ones you miss and ask questions if you do not understand!

7. MULTIPLY INTEGERS 12 x 4 = -6 x 5 = 9 x -3 = -11 x -8 =
Multiply the numbers
Same Signs = POSITIVE
Different Signs = NEGATIVE
A submarine dives into the ocean at -200 ft. per min. How far down can the submarine go in 15 min.?
12 x 4 =
-6 x 5 =
9 x -3 =
-11 x -8 =

8. DIVIDE INTEGERS 18 ÷ (-2) = -25 ÷ (-5)= 48 ÷ 12 = -56 ÷ (7)=
Divide the numbers
Same Signs = POSITIVE
Different Signs = NEGATIVE
What is the average of -15, 7, -4 and 10? Calvin earned $1, 425 by working five days in a week. He then received a $200 cut for being late. What is the average amount that he earned per day?
18 ÷ (-2) =
-25 ÷ (-5)=
48 ÷ 12 =
-56 ÷ (7)=

9. Operations with Decimals
ADDING DECIMALS
SUBTRACTING DECIMALS
MULTIPLY DECIMALS
DIVIDE DECIMALS

10. ADDING DECIMALS 4.75 + 23.6 = Line up the decimals!
Fill spaces with zeros!
Add the numbers
Bring down the decimal
Sheila spent $5 on binders, $2.95 on pencils, and $14.50 on locker decorations. How much did she spend on her school supplies? =

11. SUBTRACTING DECIMALS 305.6 – 22.99 = Line up the decimals!
Fill spaces with zeros!
Subtract the numbers
Bring down the decimal
Tyler had $80.45 in her bank account on Monday. He deposited $20.50 on Tuesday and withdrew $37.75 on Weds. How much did Tyler have in his account on Thursday?
305.6 – =

12. Now, on the left side of your notebook, let’s do a few more practice problems:
(-15) = -20 – (-10.75) =
= -120 – =

13. MULTIPLY DECIMALS
Multiply the numbers like whole numbers!
Do NOT line up the decimals!
After you multiply the numbers, count your decimal places and move your decimal.
Derek spends $3.25 on breakfast and $5.50 on lunch every school day. How much does he spend in one school week? What is the product of and 4.13?
15.4 x 6.22 =

14. DIVIDING DECIMALS
Set it up in the house
You can NOT divide by a decimal – make your divisor a whole number by moving the decimal!!
Monkey see, monkey do! If you move the decimal outside, you gotta move it inside.
Line up the decimal to your answer.
A jug of orange juice contains fluid ounces. If it is shared equally among 5 ½ cups, how many ounces of orange juice does each cup receive?
14.02 ÷ .002 =

15. Operations with FRACTIONS
ADDING FRACTIONS
SUBTRACTING FRACTIONS
MULTIPLY FRACTIONS
DIVIDE FRACTIONS

16. ADDING FRACTIONS 1/6 + 3/4 = 2 ½ + 1 1/3 =
Least Common Denominator!
If you change the bottom, change the top! Monkey see, monkey do!
Add the numerators
The denominator stays the same
Amy ate ¼ of a box of cereal. Blake ate 2/9 of the same box. What fraction of the box of cereal did they eat together?
1/6 + 3/4 =
2 ½ /3 =

17. SUBTRACTING FRACTIONS
Least Common Denominator!
If you change the bottom, change the top! Monkey see, monkey do!
Subtract the numerators
The denominator stays the same
Amy ate ¼ of a box of cereal. Blake ate 2/9 of the same box. How much more did Amy eat than Blake?
4/5 – 2/3 =
5 1/8 – 2 ¼ =

18. Now, on the left side of your notebook, you try these on your own:

19. MULTIPLY FRACTIONS Multiply: 3/5 x 2/3 = 4/7 x 1/8 = 1 ¾ x 3 ½ =
Multiply straight across!
Mixed numbers must be turned into improper fractions!
Multiply:
3/5 x 2/3 =
4/7 x 1/8 =
1 ¾ x 3 ½ =
Alfred paid $350 for a rug. Bill paid 2/5 of the price that Alfred paid for the same rug. How much did Bill pay? An artist is cutting pieces of ribbon. Each piece he cuts measures 7/8 inch. The artist cuts off 5 pieces. How many total inches of ribbon has he cut off?

20. DIVIDE FRACTIONS 3/4 ÷ 1/6 = 1/2 ÷ 4/9 = 2/3 ÷ 2 6/7 = 5 ÷ 1 ½ =
Flip the 2nd Fraction (reciprocal)
Multiply straight across
3/4 ÷ 1/6 =
1/2 ÷ 4/9 =
2/3 ÷ /7 =
5 ÷ 1 ½ =
Jean equally shared a box of chocolates with two friends. The box weighed 9/5 pounds. What is the weight of chocolate that each of the friends received? If you pack 22 boxes in 1 5/6 hours, what is the average number of boxes packed per hour?