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 #171 : How To Find The Part From The Whole

What is \(\displaystyle 269\) rounded to the nearest hundred? 

 

 

Possible Answers:

\(\displaystyle 200\)

\(\displaystyle 360\)

\(\displaystyle 270\)

\(\displaystyle 260\)

\(\displaystyle 300\)

Correct answer:

\(\displaystyle 300\)

Explanation:

When we round a number to the hundreds place we look to our tens place to tell us if we round up or down. If the number in our tens place is \(\displaystyle 5\) or greater, we round up. If the number in the tens place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the hundreds place increases by \(\displaystyle 1\) and all the other numbers become \(\displaystyle 0\). When we round down, the number in the hundreds place stays the same and all the other numbers become \(\displaystyle 0\).

In this case, \(\displaystyle 6\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 300.\)

Example Question #4374 : Numbers And Operations

What is \(\displaystyle 773\) rounded to the nearest hundred? 

 

 

Possible Answers:

\(\displaystyle 780\)

\(\displaystyle 800\)

\(\displaystyle 880\)

\(\displaystyle 770\)

\(\displaystyle 870\)

Correct answer:

\(\displaystyle 800\)

Explanation:

When we round a number to the hundreds place we look to our tens place to tell us if we round up or down. If the number in our tens place is \(\displaystyle 5\) or greater, we round up. If the number in the tens place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the hundreds place increases by \(\displaystyle 1\) and all the other numbers become \(\displaystyle 0\). When we round down, the number in the hundreds place stays the same and all the other numbers become \(\displaystyle 0\).

In this case, \(\displaystyle 7\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 800.\)

Example Question #91 : Round Numbers To The Nearest Ten Or Hundred: Ccss.Math.Content.3.Nbt.A.1

What is \(\displaystyle 429\) rounded to the nearest ten? 

 

 

Possible Answers:

\(\displaystyle 430\)

\(\displaystyle 400\)

\(\displaystyle 520\)

\(\displaystyle 420\)

\(\displaystyle 500\)

Correct answer:

\(\displaystyle 430\)

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, \(\displaystyle 9\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 430.\)

Example Question #92 : Round Numbers To The Nearest Ten Or Hundred: Ccss.Math.Content.3.Nbt.A.1

What is \(\displaystyle 816\) rounded to the nearest ten? 

 

 

Possible Answers:

\(\displaystyle 850\)

\(\displaystyle 820\)

\(\displaystyle 830\)

\(\displaystyle 800\)

\(\displaystyle 810\)

Correct answer:

\(\displaystyle 820\)

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, \(\displaystyle 6\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 820.\)

Example Question #92 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

What is \(\displaystyle 511\) rounded to the nearest ten? 

 

 

Possible Answers:

\(\displaystyle 510\)

\(\displaystyle 520\)

\(\displaystyle 600\)

\(\displaystyle 500\)

\(\displaystyle 610\)

Correct answer:

\(\displaystyle 510\)

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, \(\displaystyle 1\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 510.\)

Example Question #93 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

What is \(\displaystyle 634\) rounded to the nearest ten? 

 

 

Possible Answers:

\(\displaystyle 630\)

\(\displaystyle 620\)

\(\displaystyle 720\)

\(\displaystyle 700\)

\(\displaystyle 600\)

Correct answer:

\(\displaystyle 630\)

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, \(\displaystyle 3\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 630.\)

Example Question #94 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

What is \(\displaystyle 394\) rounded to the nearest ten? 

 

 

Possible Answers:

\(\displaystyle 400\)

\(\displaystyle 300\)

\(\displaystyle 200\)

\(\displaystyle 380\)

\(\displaystyle 390\)

Correct answer:

\(\displaystyle 390\)

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, \(\displaystyle 4\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 390.\)

Example Question #4384 : Numbers And Operations

Solve:  \(\displaystyle 1-\frac{2}{7}\)

Possible Answers:

\(\displaystyle \frac{5}{7}\)

\(\displaystyle \frac{2}{7}\)

\(\displaystyle \frac{1}{7}\)

\(\displaystyle 1\frac{2}{7}\)

\(\displaystyle \frac{7}{5}\)

Correct answer:

\(\displaystyle \frac{5}{7}\)

Explanation:

To solve for the unknown value, the denominators must be the same.

Reconvert the one whole to seven parts over seven. Once there is a common denominator, subtract the numerators to get the final answer.

\(\displaystyle \\1-\frac{2}{7}\\ \\= \frac{7}{7}-\frac{2}{7}\\ \\ = \frac{5}{7}\) 

Example Question #4382 : Numbers And Operations

Find the part from the whole.

Our family ordered a large pizza for dinner tonight. It had \(\displaystyle 20\) slices. If mom ate \(\displaystyle 2\), dad at \(\displaystyle 4\), Sam had \(\displaystyle 3\), and I had \(\displaystyle 2\), how many slices are left over?

Possible Answers:

\(\displaystyle 11\)

\(\displaystyle 8\)

\(\displaystyle 7\)

\(\displaystyle 9\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 9\)

Explanation:

To find a whole, add all the known parts. Then, find the one that is missing. Think:

\(\displaystyle 2+4+3+2=11\)

\(\displaystyle 11+\square=20\)

\(\displaystyle 11\) (part) plus what (part) equals \(\displaystyle 20\) (whole)?

\(\displaystyle 11+(9)=20\)

The missing part is \(\displaystyle 9\).

Example Question #4383 : Numbers And Operations

Halley has \(\displaystyle 12\) green gummy bears. She decides to give them away to her \(\displaystyle 3\) siblings. How many gummy bears will each sibling get if they each get the same number?

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle 4\)

\(\displaystyle 6\)

\(\displaystyle 3\)

\(\displaystyle 12\)

Correct answer:

\(\displaystyle 4\)

Explanation:

\(\displaystyle 12\) gummy bears will need to be divided into \(\displaystyle 3\) equal parts. If you take \(\displaystyle 3\) away from \(\displaystyle 12\) and give \(\displaystyle 1\) to each sibling, Halley has \(\displaystyle 9\) gummy bears leftover. Even though the siblings have an equal amount (\(\displaystyle 1\) gummy bear each), the total number (\(\displaystyle 12\)) hasn't been completely divided.

If you were to repeat this process, taking \(\displaystyle 3\) from the total and distributing \(\displaystyle 1\) to each sibling until the total as \(\displaystyle 0\), each sibling would have a total of \(\displaystyle 4\) gummy bears.

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