ISEE Lower Level Quantitative : Numbers and Operations

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

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Example Questions

Example Question #200 : Generalize Place Value Understanding For Multi Digit Whole Numbers

Round \(\displaystyle 7\textup,127\) to the nearest hundred.

Possible Answers:

\(\displaystyle 7\textup,130\)

\(\displaystyle 7\textup,100\)

\(\displaystyle 7\textup,000\)

\(\displaystyle 7\textup,200\)

\(\displaystyle 7\textup,120\)

Correct answer:

\(\displaystyle 7\textup,100\)

Explanation:

When we round a number to the nearest hundred we look to the tens place to tell us if we round up or down.

\(\displaystyle 7\textup,1{\color{Blue} 2}7\)

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 to the right become \(\displaystyle 0\). When we round down, the number in the hundreds place stays the same and all the other numbers to the right become \(\displaystyle 0\).

In this case, \(\displaystyle 2\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 7\textup,100\)

Example Question #4561 : Numbers And Operations

Round \(\displaystyle 179\) to the nearest ten.

Possible Answers:

\(\displaystyle 200\)

\(\displaystyle 190\)

\(\displaystyle 210\)

\(\displaystyle 170\)

\(\displaystyle 180\)

Correct answer:

\(\displaystyle 180\)

Explanation:

When we round a number to the nearest ten we look to the ones place to tell us if we round up or down.

\(\displaystyle 17{\color{Blue} 9}\)

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 \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the tens place stays the same and all the other numbers to the right become \(\displaystyle 0\).

In this case, \(\displaystyle 9\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 180\)

Example Question #1121 : Numbers And Operations

Round \(\displaystyle 534\textup,267\) to the nearest ten.

Possible Answers:

\(\displaystyle 540\textup,000\)

\(\displaystyle 534\textup,260\)

\(\displaystyle 530\textup,000\)

\(\displaystyle 534\textup,200\)

\(\displaystyle 534\textup,270\)

Correct answer:

\(\displaystyle 534\textup,270\)

Explanation:

When we round a number to the nearest ten we look to the ones place to tell us if we round up or down.

\(\displaystyle 534\textup,26{\color{Blue} 7}\)

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 \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the tens place stays the same and all the other numbers to the right become \(\displaystyle 0\).

In this case, \(\displaystyle 7\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 534\textup,270\)

Example Question #1122 : Numbers And Operations

Round \(\displaystyle 4\textup,124\) to the nearest hundred.

Possible Answers:

\(\displaystyle 4\textup,000\)

\(\displaystyle 3\textup,100\)

\(\displaystyle 4\textup,200\)

\(\displaystyle 4\textup,100\)

\(\displaystyle 3\textup,124\)

Correct answer:

\(\displaystyle 4\textup,100\)

Explanation:

When we round a number to the nearest hundred we look to the tens place to tell us if we round up or down.

\(\displaystyle 4\textup,1{\color{Blue} 2}4\)

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 to the right become \(\displaystyle 0\). When we round down, the number in the hundreds place stays the same and all the other numbers to the right become \(\displaystyle 0\).

In this case, \(\displaystyle 2\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 4\textup,100\)

Example Question #1123 : Numbers And Operations

What is \(\displaystyle 932\) rounded to the nearest hundred? 

 

 

Possible Answers:

\(\displaystyle 720\)

\(\displaystyle 820\)

\(\displaystyle 800\)

\(\displaystyle 700\)

\(\displaystyle 900\)

Correct answer:

\(\displaystyle 900\)

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, \(\displaystyle 3\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 900.\)

Example Question #1124 : Numbers And Operations

What is \(\displaystyle 721\) rounded to the nearest hundred? 

 

 

Possible Answers:

\(\displaystyle 800\)

\(\displaystyle 700\)

\(\displaystyle 720\)

\(\displaystyle 600\)

\(\displaystyle 620\)

Correct answer:

\(\displaystyle 700\)

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, \(\displaystyle 2\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 700\).

Example Question #1125 : Numbers And Operations

What is \(\displaystyle 818\) rounded to the nearest hundred? 

 

 

 

Possible Answers:

\(\displaystyle 910\)

\(\displaystyle 800\)

\(\displaystyle 900\)

\(\displaystyle 700\)

\(\displaystyle 810\)

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, \(\displaystyle 1\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 800.\)

Example Question #1126 : Numbers And Operations

What is \(\displaystyle 644\) rounded to the nearest hundred? 

 

Possible Answers:

\(\displaystyle 540\)

\(\displaystyle 700\)

\(\displaystyle 600\)

\(\displaystyle 640\)

\(\displaystyle 500\)

Correct answer:

\(\displaystyle 600\)

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, \(\displaystyle 4\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 600\)

Example Question #1127 : Numbers And Operations

What is \(\displaystyle 534\) rounded to the nearest hundred? 

 

 

Possible Answers:

\(\displaystyle 600\)

\(\displaystyle 601\)

\(\displaystyle 500\)

\(\displaystyle 630\)

\(\displaystyle 530\)

Correct answer:

\(\displaystyle 500\)

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, \(\displaystyle 3\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 500.\)

Example Question #1128 : Numbers And Operations

What is \(\displaystyle 403\) rounded to the nearest hundred? 

 

 

 

Possible Answers:

\(\displaystyle 410\)

\(\displaystyle 400\)

\(\displaystyle 500\)

\(\displaystyle 401\)

\(\displaystyle 300\)

Correct answer:

\(\displaystyle 400\)

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, \(\displaystyle 0\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 400.\)

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