Operations with Decimals

ADDING DECIMALS

DIVIDE DECIMALS

MULTIPLY DECIMALS

SUBTRACTING DECIMALS

ADDING DECIMALS

• 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?

4.75 + 23.6 =

SUBTRACTING DECIMALS

• 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 – 22.99 =

MULTIPLY DECIMALS• Line up the numbers so you

can multiply like normal!• 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?

15.4 x 6.22 =

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 40.55 fluid ounces. If it is shared equally among 5 ½ cups, how many ounces of orange juice does each cup receive?14.02 ÷ .002 =

Operations with FRACTIONS

ADDING FRACTIONS

DIVIDE FRACTIONS

MULTIPLY FRACTIONS

SUBTRACTING FRACTIONS

ADDING FRACTIONS• 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 + 1 1/3 =

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. What fraction of the box of cereal did they eat together?

3/5 – 2/3 =

5 1/8 – 2 ¼ =

MULTIPLY FRACTIONS

• Multiply straight across!

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?

Multiply with Models:

3/5 x 2/3 =

4/7 x 1/8 =

1 ¾ x 3 ½ =

DIVIDE FRACTIONS

• Flip the 2nd Fraction (reciprocal)

• Multiply straight across

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?

3/4 ÷ 1/6 =

1/2 ÷ 4/9 =

4 2/3 ÷ 2 6/7 =

5 ÷ 1 ½ =

Operations with INTEGERS

ADDING INTEGERS

DIVIDE INTEGERS

MULTIPLY INTEGERS

SUBTRACTING INTEGERS

ADDING INTEGERS

• Same Signs = ADD• Different Signs = SUBTRACT

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?

-6 + 3 =

9 + 12 =

15 + -8 =

-24 + -10 =

SUBTRACTING INTEGERS

• KEEP, CHANGE, SWITCH!!!• 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?

-6 - 9 =

15 – (-7) =

-22 – (-11)=

8 – 10 =

MULTIPLY INTEGERS

• Multiply the numbers• Same Signs = POSITIVE• Different Signs = NEGATIVE

What is the product of -1.25 and 4.55?

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 =

DIVIDE INTEGERS

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 hour?

18 ÷ (-2) =

-25 ÷ (-5)=

48 ÷ 12 =

-56 ÷ (7)=

• Divide the numbers• Same Signs = POSITIVE• Different Signs = NEGATIVE