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10 pt
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Patterns and Algebra
Number SenseOrder of Operations
Number SenseComputation
Number SenseDecimals
Potpourri
Ben used a rule to create the input –output box above. If the same rule is followed for the last row, this is the output number in
the last row.
Input Output
4 12
8 16
12 20
15 23
21
What is29?
Becky reads every day from 8 pm to 8:30 pm. This expression below could
be used to find the total number of minutes she reads in ‘n’ days.
A. 30 + nB. 30 – nC. 30n D. 30 ÷ n
What is
C. 30n?
This expression below is the same as 4 times a
number.
A.4 + n
B.4n
C.4 x 4
D.4 ÷ n
What is
B. 4n ?
This number equals t in equation below which is
an example of the distributive property of
multiplication with addition:
24 x 9 = ( t x 9) + (4 x 9)
What is 20?
Week Number Number of Miles
1 4
2 8
3 12
4 16
Sam recorded the number of miles he rode his bike each week for 4 different
weeks. If he continues the same pattern, this is the number of miles he
will ride in week number 7.
What is
28 miles?
Simplify:
5 + 3 x 23 =
What is
29?Explanation: To find the answer to 5 + 3 x 23 , you must do the
exponent first. 23 means 2 x 2 x 2 which equals 8. Then you must do the multiplication, (3 x 8) . Then, you must add 5.
This is the second step when following the order of operations
rules.
What is
Simplify the exponents?
Simplify:
20 – 6 + 5 x 2
What is
24?
Simplify:
36 ÷ 32 + 4
What is
8?
This number goes in the blank to
make the equation true:
4 + __ x 5 – 3 = 16
What is
3?
Jill wanted to identify two numbers whose product is 15. These are two numbers she could use.
A.12 and 3B.30 and 2C.20 and 5D.5 and 3
What is
D. 5 and 3 ?Explanation: Product is the answer to a multiplication problem.
This is the estimated product of 304 and 49.
What is
15,000?Explanation: Product means the answer to a
multiplication problem. To estimate 304 x 49, you need to change the problem to 300 x 50.
I am thinking of two numbers.
The sum of the two numbers is 6.
The difference of the two numbers is 2.
The product of the two numbers is 8.
The quotient of the two numbers is 2.
Hint: Both numbers are less than 5.
These are my two numbers.
What are the numbers 4 and 2?
There are 74 books that need to be put into
boxes. Each box can hold 9 books. This is the number of boxes
that will be filled.
What is
8 boxes?Explanation: 8 boxes will be filled because 8 x 9 = 72, but you will need an extra box for the other two books.
There are 24 pencils in a package. Bill has 3
packages. He opens a package and takes out three of the pencils and
gives them away. This is the number of pencils Bill
has left.
What is
69 pencils?
Bill and Tom ran a race. Bill finished the race in 24.9
seconds. Tom finished the race in 24.86 seconds. This is the person who won the
race and by how much they won.
What is
Tom won the race by 0.04 seconds?
Explanation: 24.9 – 24.86 = 0.04
Jenny and Alice had a jumping contest. Jenny
jumped 3.6 meters. Alice jumped 0.05 meters more than
Jenny. This is how many meters Alice
jumped.
What is
3.65 meters?
This is the number of hundredths there are in 3
tenths.
What is
30 hundredths?
Gary ran a race in 45.69 seconds. This is how
fast he ran rounded to the nearest tenth of a
second.
What is
45.7 seconds?
This is the missing number in the equation
below:
3.4 + x = 8
What is
4.6?
This word means the answer to an addition
problem.
What is the
sum?
This is the number of minutes there are in
3 hours.
What is
180 minutes?
This is the missing number in the
following problem:
34 + ___ = 80
What is
46?
There are 3 fish tanks in a store. There are 100 fish
all together in all three fish tanks. The first tank has 40 fish and the second
tank has 35 fish. This is the number of fish in the
third tank.
What is
25 fish?
This number is even, has 3 for a factor, is less
than 50, and is a square number.
What is the number 36?