Unit 1
Order of Operations and Whole Numbers
Order of Operations and Whole Numbers
Fill out the Order of Operations.
P
E
M and D
A and S
Parenthesis
Exponents
Multiplication and Division (in order from left to right)
Addition and Subtraction (in order from left to right)
Find the quotient. Show your work.
36,712 divided by 52
706
Find the quotient.
84.78 divided by 0.15
565.2
Katy has two chores in the afternoon. She washes the windows for 3/5 of an hour and and washes the car for 1/2 of an hour. How much time does she spend on chores?
1/2 = 5/10
3/5 = 6/10
5/10 + 6/10 = 11/10
11/10 = 1 and 1/10
What is the value of the expression?
(6 + 5) x (10 + 12) / 2
(11) x (22) / 2
242 / 2
121
A shop has a total of 525 cupcakes. There are arranged in rows of 25. How many rows of cupcakes does the shop have?
21 rows
Katie ran 8 blocks from her school. Each block is 0.14 miles. How many miles did she run?
1.12 miles
A road is 1/5 mile long. There are 8 stop signs placed equal distances apart along the road.
Write and solve the equation to show the distance between the stop signs on the road.
1/5 divided by 8
1/40 a mile each
Evaluate this expression.
5 + 6(3 + 12 ÷ 3) ÷ 7
5 + 6(3 + 4) ÷ 7
5 + 6(7) ÷ 7
5 + 42 ÷ 7
5 + 6
11
Which THREE statements describe how to find the product 7 x 105
a.) move the decimal point in the number 7 five places to the right.
b.) Move the decimal point in the number 7 five places to the left.
c.) Multiply 7 x 10,000
d.) Multiply 7 x 10 five times and add the products
e.) Move 7, five place values by adding 5 zeros
a.) move the decimal point in the number 7 five places to the right.
c.) Multiply 7 x 10,000
e.) Move 7, five place values by adding 5 zeros
Kate bought seven 8-ounce bottles of lemonade. If each bottle of water costs $5.67, how much did she spend on lemonade?
a.) $13.67
b.) $28.35
c.) $12.67
d.) $39.69
d.) $39.69
On Monday, Karen served a casserole and had 2/3 left over. On Tuesday, Karen served 3/4 of what was left. How much of the casserole did Karen serve on Tuesday?
2/3 x 3/4 = 6/12 or 1/2
Kaite is solving this multiplication problem.
45
x 23
______
135
Which number should Molly place under the 135
a.) 800
b.) 900
c.) 80
d.) 90
b.) 900
Find the quotient of 14,673 divided by 17.
17 remainder 2
Frank has two bottles of water. One bottle is 12.6 ounces. The other bottle is 6.24 ounces. He found the difference, in ounces, of the two weights. Which problem correctly finds the difference?
a.) 12.6 c.) 12.6
- 6.24 - 6.24
__________ ________
6.44 6.36
b.) 6.24 d.) 6.24
-12.60 - 12.6
___________ ______________
13.64 612.6
C.) 12.6
- 6.24
____________
6.36
Which word problem is true of
1/3 ÷ 2 = 1/6 ?
a.) Tony and his friend decide to take 1/6 of a bottle of soda and divide it equal amongst each other. The amount they each had was 1/3 of a bottle.
b.) Brynn decided to divide one 1/3 of a bottle of soda evenly into two cups. The amount in each cup is 1/6 .
c.) Jack and his friend want to share 1/3 of a bottle of soda evenly. The divide the soda into 6 equal parts. Each part will 1/2 .
d.) Kate and her friend shared a bottle of soda. They decided to take 1/6 of the bottle and divide it in half. The amount they each drank is 1/3 of a bottle.
b.) Brynn decided to divide one 1/3 of a bottle of soda evenly into two cups. The amount in each cup is 1/6 .
Hank has $200,000.00. Frank has $2.00. Cathryn has $200.00. Which statement correctly describes their bank account?
a.) Cathryn has 1/100 the amount of money as Hank and 100 times as much as Frank.
b.) Hank has 100 times as much money as Cathryn and 10,000 times as much money as Frank.
c.) Hank has 100 times as much money as Frank and Cathryn.
d.) Hank has 1/100 times as much money as Frank and Cathryn.
a.) Cathryn has 1/100 the amount of money as Hank and 100 times as much as Frank.
Solve this expression.
(15 - 5) x [(9 x 3) + 3]
(15 - 5) x [(9 x 3) + 3]
(15 - 5) x [ 27 + 3]
(15 - 5) x [30]
(10) x [30]
300
Select all statements that are true of 13 ÷ 10
a.) This expression will have four zeros between the decimal place and the one.
b.) This is the same as dividing 13 by 10,000
c.) The expression is equivalent to 0.00013
d.) This expression is equivalent to 5 times smaller than 13
e.) This is the same as 13 ÷ 10 ÷ 10 ÷ 10 ÷ 10 ÷ 10
b.) This is the same as dividing 13 by 10,000
c.) The expression is equivalent to 0.00013
e.) This is the same as 13 ÷ 10 ÷ 10 ÷ 10 ÷ 10 ÷ 10
Jane has a garden. The width of the garden is 2 4/6 feet. The length is 3 2/4 feet. She wants to plant flowers in her garden.
a.) What is the area of the garden? (Area = L x W) Remember, you must convert your mixed numbers into improper fractions. Write your answer in simplest form.
b.) A box of flowers has enough flowers to cover 3 feet2. How many boxes will Jane need?
a. 18/6 x 14/4
18 x 14 = 252
6 x 4 = 24
252/24 = 10 and 12/24 or 10 1/2 feet
b.) 10 1/2 divided by 3
4 boxes (round your answer up)