SSAT Elementary Level Math : How to find the part from the whole

Study concepts, example questions & explanations for SSAT Elementary Level Math

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Example Questions

Example Question #9 : Generalize Place Value Understanding For Multi Digit Whole Numbers

\displaystyle 5 tens equal how many ones?

Possible Answers:

\displaystyle 500

\displaystyle 5

\displaystyle 50

Correct answer:

\displaystyle 50

Explanation:

Digits in the tens place are ten times the value of digits in the ones place. 

\displaystyle 5\times10=50

Example Question #4778 : Numbers And Operations

What is \displaystyle \frac{1}{3} of \displaystyle 45 ? 

Possible Answers:

\displaystyle 32

\displaystyle 24

\displaystyle 15

\displaystyle 42

\displaystyle 13

Correct answer:

\displaystyle 15

Explanation:

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

So, in the problem

\displaystyle \frac{1}{3} of \displaystyle 45

We can write it like this

\displaystyle \frac{1}{3} \cdot 45

Now, we must write 45 as a fraction.  We know that whole numbers can be written as fractions over 1.  So, we get

\displaystyle \frac{1}{3} \cdot \frac{45}{1}

Now, we multiply straight across.  We get

\displaystyle \frac{1 \cdot 45}{3 \cdot 1}

\displaystyle \frac{45}{3}

\displaystyle 15

 

Therefore, \displaystyle \frac{1}{3} of \displaystyle 45 is \displaystyle 15.

Example Question #4781 : Numbers And Operations

What is a quarter of \displaystyle 68 ?

Possible Answers:

\displaystyle 25

\displaystyle 18

\displaystyle 34

\displaystyle 26

\displaystyle 17

Correct answer:

\displaystyle 17

Explanation:

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

 

So, in the problem

a quarter of 68

we will first write a quarter as a fraction.  We know a quarter is the same thing as \displaystyle \frac{1}{4}.  

 

So, we can write

\displaystyle \frac{1}{4} of \displaystyle 68

 

Now, we can re-write it like this

\displaystyle \frac{1}{4} \cdot 68

 

Now, we must write 68 as a fraction.  We know that whole numbers can be written as fractions over 1.  So, we get

\displaystyle \frac{1}{4} \cdot \frac{68}{1}

Now, we multiply straight across.  We get

\displaystyle \frac{1 \cdot 68}{4 \cdot 1}

\displaystyle \frac{68}{4}

\displaystyle 17

 

Therefore, \displaystyle \frac{1}{4} of \displaystyle 68 is \displaystyle 17.

Example Question #571 : How To Find The Part From The Whole

Find \displaystyle \frac{1}{3} of \displaystyle 39.

Possible Answers:

\displaystyle 18

\displaystyle 14

\displaystyle 12

\displaystyle 13

\displaystyle 16

Correct answer:

\displaystyle 13

Explanation:

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

\displaystyle \frac{1}{3} \cdot 39

 

\displaystyle \frac{1}{3} \cdot \frac{39}{1}

 

\displaystyle \frac{1 \cdot 39}{3 \cdot 1}

 

\displaystyle \frac{39}{3}

 

\displaystyle 13

 

Therefore,  \displaystyle \frac{1}{3} of \displaystyle 39 is \displaystyle 13.

Example Question #571 : How To Find The Part From The Whole

What fraction is equivalent to the following: \displaystyle \frac{1}{4}?

Possible Answers:

\displaystyle \frac{1}{12}

\displaystyle \frac{3}{12}

\displaystyle \frac{4}{12}

\displaystyle \frac{2}{12}

\displaystyle \frac{6}{12}

Correct answer:

\displaystyle \frac{3}{12}

Explanation:

12

The two lines above are the same length. The top line is split into \displaystyle 4 pieces and the bottom line is split into \displaystyle 12 pieces.

 \displaystyle \frac{1}{4} and \displaystyle \frac{3}{12} are equivalent because they occupy the same position on the number line. 

Example Question #3 : Numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 Refer To One, Two, Three, Four, Five, Six, Seven, Eight, Or Nine Tens: Ccss.Math.Content.1.Nbt.B.2.C

How many tens are in the number \displaystyle 53?

Possible Answers:

Three

Fifty

Fifty-three

Five

Thirty

Correct answer:

Five

Explanation:

There is a \displaystyle 5 in the tens place which means there are five tens in the number \displaystyle 53.

Example Question #572 : How To Find The Part From The Whole

How many hundreds are in the number \displaystyle 561?

Possible Answers:

Five hundred

Five

One

Fifty 

Six

Correct answer:

Five

Explanation:

There is a \displaystyle 5 in the hundreds place which means there are five hundreds in the number \displaystyle 561.

Example Question #573 : How To Find The Part From The Whole

What is \displaystyle 565 rounded to the nearest ten? 

Possible Answers:

\displaystyle 600

\displaystyle 570

\displaystyle 500

\displaystyle 560

\displaystyle 400

Correct answer:

\displaystyle 570

Explanation:

When we round a number to the tens place we look to our ones place to tell us if we round up or down. If the number in our ones place is \displaystyle 5 or greater, we round up. If the number in the ones place is \displaystyle 4 or less, we round down. When we round up, the number in the tens place increases by \displaystyle 1. The numbers to the right of the tens place become \displaystyle 0 and the numbers to the left of the tens place stay the same. When we round down, the number in the tens place stays the same. The numbers to the right of the tens place become \displaystyle 0 and the numbers to the left of the tens place stay the same.

In this case, \displaystyle 5 is equal to \displaystyle 5 so our rounded number is \displaystyle 570.

Example Question #1 : Understanding Fractions As Numbers

What fraction of the circle is green? 

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Possible Answers:

\displaystyle \frac{3}{4}

\displaystyle \frac{}2{}4

\displaystyle 1

\displaystyle \frac{1}{4}

\displaystyle 2

Correct answer:

\displaystyle \frac{1}{4}

Explanation:

The circle is split up into \displaystyle 4 equal parts. \displaystyle 1 of the parts is shaded green, which means \displaystyle \frac{1}{4} of the circle is green. 

Example Question #574 : How To Find The Part From The Whole

Fill in the blank with the correct sign:

\displaystyle .73 __________ \displaystyle .73 

Possible Answers:

\displaystyle >

\displaystyle <

\displaystyle =

Correct answer:

\displaystyle =

Explanation:

\displaystyle .73=.73 because the numbers are the same. 

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