ISEE Middle Level Math : Numbers and Operations

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

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Example Questions

Example Question #54 : How To Find The Part From The Whole With Percentage

What is  of ?

Possible Answers:

Correct answer:

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number.  

 

So, given

 of 

we will multiply.  We get

Now, we know a percent is a number of 100.  So,

and we can write  in fraction form.  We get

Now we multiply.  To make things easier, we can simplify before we multiply.  We can cancel out the zero in  and the zero in .  So,

We can also cancel the zero in  and the zero in .  So,

Now, we multiply straight across.

 

Therefore,  of  is .

Example Question #911 : Numbers And Operations

What is  of ?

Possible Answers:

Correct answer:

Explanation:

To find a percentage of a whole, we will simply multiply the percentage by the whole number.  So, in the problem

 of 

we will multiply.  We get

We know that a percentage is equal to the number over 100, so we can write it like

To multiply, we will write  in fraction form.  We get

Now, to make the multiplication easier, we will simplify beforehand.  The 2 zeros in 100 can cancel the two zeros in 500.  So,

Now, we can multiply.

Example Question #56 : How To Find The Part From The Whole With Percentage

Find  of .

Possible Answers:

Correct answer:

Explanation:

To find a

 

ercentage of a whole, we will multiply the percentage by the whole number.

So, in the problem 

 of 

we can write it as

 

We know that a percentage can be written as the number over 100, so we can write it as

 

We will now multiply.  To multiply, we will write 300 in fraction form.  We get

 

Before we multiply, we can simplify to make things easier.  The zeros in 100 can cancel out he zeros in 300.  So,

 

Now, we can easily multiply straight across.  We get

 

Therefore,  of  is .

Example Question #54 : How To Find The Part From The Whole With Percentage

What is  of ?

Possible Answers:

Correct answer:

Explanation:

To find a percentage of a whole, we will multiply the percentage by the whole number. So,

 of 

can be written as

 

Now, we will write  as a fraction.  We know that a percentage is that number over 100.  So, we can write  as

Now, we will write  as a fraction.  We get

 

Now, to make multiplication easier, we will simplify.  To simplify, we can cancel out the zero in 10 and a zero in 100.  So,

We can continue to simplify.  We can cancel the zero in 10 and the zero in 70.  We get


Now, we can multiply straight across.  We get

 

Therefore,  of  is .

Example Question #58 : How To Find The Part From The Whole With Percentage

What is  of  ?

Possible Answers:

Correct answer:

Explanation:

To find a percentage of a whole, we will multiply the percent by the whole number.

So, in the problem

 of 

we can write it as

 

Now, to multiply, we need to write  as a fraction.  A percentage can be rewritten as the number over 100.  So, we get

 

Now, we need to write  as a fraction.  Any whole number can be written as a fraction by simply writing it over 1.  So, we get

 

Before we multiply, we can simplify the fractions to make things easier.  The zero in 20 can cancel a zero in 100.  We get

 

The zero in 10 can cancel the zero in 50.  We get

 

Now, we can multiply.  To multiply fractions, we will multiply straight across.  We get

 

Therefore,  of  is .

Example Question #53 : How To Find The Part From The Whole With Percentage

What is  of  ?

Possible Answers:

Correct answer:

Explanation:

To find percentage of a whole number, we will multiply the percent by the whole number.  

So, given the problem 

 of 

we can write it as

To multiply a percentage, we will re-write the percentage as a fraction.  We know that percentages can be written as that number over 100.  So, we get

Now, we will write 40 as a fraction.  We know that whole numbers can be written as that number over 1.  So, we get

 

Now, before we multiply, we will simplify to make things easier.  The zero in 10 and a zero in 100 can be cancelled.  We get

The zero in 10 can be cancelled with the zero in 40.  We get

 

Now, we will multiply straight across. 

 

Therefore,   of  is .

Example Question #60 : How To Find The Part From The Whole With Percentage

What is  of  ?

Possible Answers:

Correct answer:

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number. 

So, in the problem

 of 

we can write it as

 

Now, we will write the percentage as a fraction.  To do that, we write the number over 100.  So,

To multiply, we also need to write 30 as a fraction.  To do that, we write the whole number over 1.  So,

Now, before we multiply, we will simplify to make things easier.  The zero in 100 can cancel the zero in 30.  So,

Now, we will multiply straight across.  We get

 

Therefore,  of  is .

 

Example Question #61 : How To Find The Part From The Whole With Percentage

What is  of  ? 

Possible Answers:

Correct answer:

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number. So, in the problem

 of 

we can write it as

 

Now, we will write 70% as a fraction.  We know that a percentage can be written as the number over 100.  So, we get

Now, we will write 150 as a fraction.  To write a whole number as a fraction, we will write the number over 1.  We get

Now, before we multiply, we can simplify to make things easier.  

The zero in 70 can cancel a zero in 100.  So,

The zero in 10 can cancel the zero in 150.  So,

Now, we can multiply straight across. We get

 

Therefore,  of  is .

Example Question #61 : How To Find The Part From The Whole With Percentage

What is  of  ? 

Possible Answers:

Correct answer:

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number.

So, 

 of 

can be written as

Now, we will write 20% as a fraction.  We know that percentages can be written as the number over 100.  So,

Now, we will write 80 as a fraction.  We know that whole numbers can be written as the number over 1.  So,

Now, we can simplify before multiplying to make things easier.  The zero in 20 can cancel a zero in 100. So,

The zero in 10 can cancel the zero in 80.  So,

Now, we can multiply straight across.  We get

 

Therefore,  of  is .

Example Question #63 : How To Find The Part From The Whole With Percentage

What is  of ?

Possible Answers:

Correct answer:

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number. 

So, in the problem

 of 

we can write it as

Now, we can write  as a fraction.  We know that percentages can be written as fractions over 100.  So, we get

Now, we will write  as a fraction.  We know that whole numbers can be written as fractions over 1.  So, we get

Now, before we multiply, we can simplify to make things easier.  The zeros in 100 can cancel the zeros in 500.  So, we get

Now, we can multiply straight across.  We get

 

Therefore,  of  is .

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