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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

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?

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?