ISEE Lower Level Quantitative : ISEE Lower Level (grades 5-6) Quantitative Reasoning

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #455 : Number & Operations In Base Ten

Round \(\displaystyle 132.668\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 132.68\)

\(\displaystyle 132.66\)

\(\displaystyle 132.7\)

\(\displaystyle 132.65\)

\(\displaystyle 132.67\)

Correct answer:

\(\displaystyle 132.67\)

Explanation:

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

\(\displaystyle 132.66{\color{Blue} 8}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths place stays the same and all the other numbers to the right become \(\displaystyle 0\).

In this case, \(\displaystyle 8\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 132.670\) or \(\displaystyle 132.67\)

Example Question #643 : Identifying Place Value

Round \(\displaystyle 273.772\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 273.8\)

\(\displaystyle 273.7\)

\(\displaystyle 273.6\)

\(\displaystyle 273.77\)

\(\displaystyle 273.78\)

Correct answer:

\(\displaystyle 273.77\)

Explanation:

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

\(\displaystyle 273.77{\color{Blue} 2}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths 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 \(\displaystyle 273.770\) or \(\displaystyle 273.77\)

Example Question #644 : Identifying Place Value

Round \(\displaystyle 189.981\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 189.8\)

\(\displaystyle 189.98\)

\(\displaystyle 189.10\)

\(\displaystyle 189.99\)

\(\displaystyle 189.9\)

Correct answer:

\(\displaystyle 189.98\)

Explanation:

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

\(\displaystyle 189.98{\color{Blue} 1}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths place stays the same and all the other numbers to the right become \(\displaystyle 0\).

In this case, \(\displaystyle 1\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 189.980\) or \(\displaystyle 189.98\)

Example Question #2371 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Round \(\displaystyle 127.643\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 127.63\)

\(\displaystyle 127.65\)

\(\displaystyle 127.6\)

\(\displaystyle 127.64\)

\(\displaystyle 127.5\)

Correct answer:

\(\displaystyle 127.64\)

Explanation:

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

\(\displaystyle 127.64{\color{Blue} 3}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths place stays the same and all the other numbers to the right become \(\displaystyle 0\).

In this case, \(\displaystyle 3\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 127.640\) or \(\displaystyle 127.64\)

Example Question #23 : Round Decimals: Ccss.Math.Content.5.Nbt.A.4

Round \(\displaystyle 221.809\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 221.82\)

\(\displaystyle 221.7\)

\(\displaystyle 221.81\)

\(\displaystyle 221.89\)

\(\displaystyle 221.8\)

Correct answer:

\(\displaystyle 221.81\)

Explanation:

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

\(\displaystyle 221.80{\color{Blue} 9}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths 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 \(\displaystyle 221.810\) or \(\displaystyle 221.81\)

Example Question #651 : Identifying Place Value

Round \(\displaystyle 327.145\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 327.14\)

\(\displaystyle 327.15\)

\(\displaystyle 327.13\)

\(\displaystyle 327.2\)

\(\displaystyle 327.16\)

Correct answer:

\(\displaystyle 327.15\)

Explanation:

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

\(\displaystyle 327.14{\color{Blue} 5}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths place stays the same and all the other numbers to the right become \(\displaystyle 0\).

In this case, \(\displaystyle 5\) is equal \(\displaystyle 5\) so our rounded number is \(\displaystyle 327.150\) or \(\displaystyle 327.15\)

Example Question #463 : Number & Operations In Base Ten

Round \(\displaystyle 439.173\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 439.1\)

\(\displaystyle 439.17\)

\(\displaystyle 439.16\)

\(\displaystyle 439.174\)

\(\displaystyle 439.2\)

Correct answer:

\(\displaystyle 439.17\)

Explanation:

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

\(\displaystyle 439.17{\color{Blue} 3}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths place stays the same and all the other numbers to the right become \(\displaystyle 0\).

In this case, \(\displaystyle 3\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 439.170\) or \(\displaystyle 439.17\)

Example Question #464 : Number & Operations In Base Ten

Round \(\displaystyle 453.986\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 453.9\)

\(\displaystyle 453.8\)

\(\displaystyle 453.1\)

\(\displaystyle 453.98\)

\(\displaystyle 453.99\)

Correct answer:

\(\displaystyle 453.99\)

Explanation:

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

\(\displaystyle 453.98{\color{Blue} 6}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths place stays the same and all the other numbers to the right become \(\displaystyle 0\).

In this case, \(\displaystyle 6\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 453.990\) or \(\displaystyle 453.99\)

Example Question #465 : Number & Operations In Base Ten

Round \(\displaystyle 621.222\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 621.22\)

\(\displaystyle 621.23\)

\(\displaystyle 621.1\)

\(\displaystyle 621.3\)

\(\displaystyle 621.2\)

Correct answer:

\(\displaystyle 621.22\)

Explanation:

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

\(\displaystyle 621.22{\color{Blue} 2}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths 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 \(\displaystyle 621.220\) or \(\displaystyle 621.22\)

Example Question #466 : Number & Operations In Base Ten

Round \(\displaystyle 794.162\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 794.16\)

\(\displaystyle 794.14\)

\(\displaystyle 794.17\)

\(\displaystyle 794.2\)

\(\displaystyle 794.15\)

Correct answer:

\(\displaystyle 794.16\)

Explanation:

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

\(\displaystyle 794.16{\color{Blue} 2}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths 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 \(\displaystyle 794.160\) or \(\displaystyle 794.16\)

Learning Tools by Varsity Tutors