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 #85 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

What is \(\displaystyle 741\) rounded to the nearest hundred? 

 

 

Possible Answers:

\(\displaystyle 700\)

\(\displaystyle 600\)

\(\displaystyle 640\)

\(\displaystyle 740\)

\(\displaystyle 800\)

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, \(\displaystyle 4\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 700.\)

Example Question #1211 : Numbers And Operations

What is \(\displaystyle 393\) rounded to the nearest hundred? 

 

 

Possible Answers:

\(\displaystyle 390\)

\(\displaystyle 400\)

\(\displaystyle 300\)

\(\displaystyle 380\)

\(\displaystyle 500\)

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, \(\displaystyle 9\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 400.\)

Example Question #1212 : Numbers And Operations

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

 

 

Possible Answers:

\(\displaystyle 260\)

\(\displaystyle 300\)

\(\displaystyle 270\)

\(\displaystyle 360\)

\(\displaystyle 200\)

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 #1213 : Numbers And Operations

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

 

 

Possible Answers:

\(\displaystyle 770\)

\(\displaystyle 800\)

\(\displaystyle 870\)

\(\displaystyle 880\)

\(\displaystyle 780\)

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 #1214 : Numbers And Operations

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

 

 

Possible Answers:

\(\displaystyle 500\)

\(\displaystyle 430\)

\(\displaystyle 400\)

\(\displaystyle 420\)

\(\displaystyle 520\)

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 #1215 : Numbers And Operations

What is \(\displaystyle 565\) rounded to the nearest ten? 

Possible Answers:

\(\displaystyle 600\)

\(\displaystyle 400\)

\(\displaystyle 570\)

\(\displaystyle 500\)

\(\displaystyle 560\)

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 #1216 : Numbers And Operations

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

 

 

Possible Answers:

\(\displaystyle 520\)

\(\displaystyle 510\)

\(\displaystyle 610\)

\(\displaystyle 500\)

\(\displaystyle 600\)

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 #1217 : Numbers And Operations

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

 

 

Possible Answers:

\(\displaystyle 620\)

\(\displaystyle 720\)

\(\displaystyle 700\)

\(\displaystyle 600\)

\(\displaystyle 630\)

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 #1218 : Numbers And Operations

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

 

 

Possible Answers:

\(\displaystyle 400\)

\(\displaystyle 390\)

\(\displaystyle 300\)

\(\displaystyle 380\)

\(\displaystyle 200\)

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 \(\displaystyle 390.\)

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