ISEE Lower Level Math : Operations

Study concepts, example questions & explanations for ISEE Lower Level Math

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Example Questions

Example Question #81 : Operations

Find the product of 84 and 76.

Possible Answers:

Correct answer:

Explanation:

To find the product, we will multiply the two numbers together.  We get

Mult1

Multiply, starting from the right.  We get 24.  We write the 4 and we carry the 2.

Mult2

We multiply the red numbers, and we get 48.  We add the blue number to get 50.

Mult3

Multiply the red numbers, and we get 28.  We write the 8 and carry the 2.

Mult4

We multiply the red number.  We get 56.  We add the blue number, and we get 58.

Mult5

Now, we add them together.

Mult6

We add the red numbers.  We get 4.

Mult7

We add the red numbers, we get 8.

Mult8

We add the red numbers.  We get 13.  We write the 3 and carry the 1.

Mult9

We add the red numbers.  We get 6.

Mult10

 

Therefore, the final answer is 6,384.

 

Example Question #81 : How To Multiply

Possible Answers:

Correct answer:

Explanation:

To multiple a fraction, you just multiple the numerators together and the denominators together.  

 

and 

 

so your answer is 

.

Example Question #82 : How To Multiply

Solve for .

Possible Answers:

Correct answer:

Explanation:

This problem involves following the order of operations.

First we multiply.

So, we are left with

 

Then we just solve from left to right, meaning

.

Example Question #83 : How To Multiply

Solve for .

.

Possible Answers:

There is not enough information to solve this problem.

Correct answer:

Explanation:

This problem involves using order of operations.

Therefore, we must do what is inside the parentheses first.

So, then we have

.

Then, we would multiply and be left with

.

Then, you just add from left to right and we are left with 

 

Example Question #84 : How To Multiply

Possible Answers:

Correct answer:

Explanation:

To multiple, you can take each digit and multiple it by every other digit in the other number.  

First, 

.  

Then you can do 

.  

To get the final answer, just put them together to get 

.

Example Question #81 : Operations

Which number has a remainder of 3 when divided by 8?

Possible Answers:

18

12

17

20

11

Correct answer:

11

Explanation:

11 ÷ 8 =

1 remainder 3.

 

20 ÷ 8 =

2 remainder 4.

 

17 ÷ 8 =

2 remainder 1.

 

18 ÷ 8 =

2 remainder 2.

 

12 ÷ 8 =

1 remainder 4.

Example Question #82 : Operations

Find the quotient, when  = 6.  Round to the nearest hundreths place.

Possible Answers:

Correct answer:

Explanation:

Example Question #83 : Operations

Solve the expression.

Possible Answers:

Correct answer:

Explanation:

We can re-write the expression using division.

We need to use order of operations to solve. First, evaluate the parenthesis.

In the first parenthesis, we need to multiply before we add.

Finally, we can divide. Remember that a positive divided by a negative is a negative.

Example Question #84 : Operations

Read the following problem but do not solve it.

Mr. Jones has provided in his will that his 1,790-acre farm will be distributed equally among his five children. How much land will each child inherit?

Which of the following expressions must be evaluated in order to answer this question?

Possible Answers:

Correct answer:

Explanation:

"Distributed equally" is a phrase that indicates a division. Divide the number of acres by the number of children:

 is the expression that must be evaluated.

Example Question #85 : Operations

What number is divisible by 7 without a remainder?

Possible Answers:

44

36

24

28

Correct answer:

28

Explanation:

The only number here that can be evenly divided by 7 is 28:

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