Algebraic Thinking
Solve using the order of operations:
(9 + 2) × (7 + 3)
110
(9 + 2) × (7 + 3) =
(11) x (10) = 110
Solve. Your answer must include correct placement of commas.
700 x 6,000
4,200,000
1/8 + 1/2
5/8
Solve.
423.6 x 10
4,236
Jimmy ordered the lunch special for $4.99, a drink for $1.49, and a slice of cake for $2.30. How much did Jimmy spend on lunch (assuming no taxes or tip)?
Jimmy spent $8.78 on lunch.
Find two more ordered pairs that would fall on this line.
(1, 5)
(4, 20)
(9, 45)
(________ , ________)
(________ , ________)
Answers may vary.
(2, 10)
(3, 15)
(5, 25)
(6, 30)
(7, 35)
(8, 40)
492 x 6
2,952
1/2 - 1/3
1/6
324 x 7
2,268
SSIMS purchased new science textbooks for 6th-grade science. The books came in 42 boxes with 32 books in each box. How many science textbooks did the school purchase in all?
(You must answer in a complete sentence and include units.)
SSIMS purchased 1,344 new science textbooks for the 6th grade.
Write as a numerical expression:
The difference between eight and four multiplied by three
(8 - 4) x 3
431 divided by 5.
86.2
or
86 r1
Write the following fractions in order from least to greatest:
2/3, 5/8, 1/10, 6/12, 1/4
1/10 < 1/4 < 6/12 < 5/8 < 2/3
Solve.
15 x 12 x 19
3,420
The music auditorium seats 1,260 people. Each row has 28 seats. How many rows are in the auditorium?
(Give your answer in a complete sentence, including units.)
The auditorium has 45 rows.
Percy says that 12 + 6 ÷ 3 equals 14, but Jackson says the answer is 6. Who is correct? How can you be sure?
Percy, because the order of operations says without parentheses or exponents, you divide before adding.
Round 569.381 to the nearest tenth.
569.4
Draw a number line and place the decimals appropriately.
0.8, 0.25, 0.99, 0.501
[0] ___.25___[.5] 0.501___[.75] 0.8___0.99 [1]
A factory produces 690 boxes of crayons each hour. How many crayons would they produce in five hours if there are 24 crayons in each box?
82,800 crayons.
3 x 2 3/4
8 1/4
Write the numerical expression and solve.
Divide the difference between sixty-eight and twenty-eight by the sum of four and four.
(68 - 28)/(4 + 4) =
40/8 =
5
Write your answer as a decimal.
5,782 divided by 5.
1156.4
(1156 r2)
Mia has 3/5 of the cake left over after her party. She gives 1/2 of what is left to her cousin.
What portion of the whole cake did her cousin get?
Mia's cousin got 3/10 (or 0.3) of the whole cake.
2,835 divided by 14.
(Write you answer as a decimal if necessary.)
202.5
3 divided by 1/4
12