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

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #14 : Round Decimals: Ccss.Math.Content.5.Nbt.A.4

Round \(\displaystyle 328.274\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 328.26\)

\(\displaystyle 328.3\)

\(\displaystyle 328.28\)

\(\displaystyle 328.2\)

\(\displaystyle 328.27\)

Correct answer:

\(\displaystyle 328.27\)

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.

\(\displaystyle 328.27{\color{Blue} 4}\)

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, \(\displaystyle 4\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 328.270\) or \(\displaystyle 328.27\)

Example Question #15 : Round Decimals: Ccss.Math.Content.5.Nbt.A.4

Round \(\displaystyle 461.128\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 461.1\)

\(\displaystyle 461.12\)

\(\displaystyle 461.2\)

\(\displaystyle 461.14\)

\(\displaystyle 461.13\)

Correct answer:

\(\displaystyle 461.13\)

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.

\(\displaystyle 461.12{\color{Blue} 8}\)

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 \(\displaystyle 461.130\) or \(\displaystyle 461.13\)

Example Question #11 : Round Decimals: Ccss.Math.Content.5.Nbt.A.4

Round \(\displaystyle 597.763\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 597.76\)

\(\displaystyle 597.77\)

\(\displaystyle 600\)

\(\displaystyle 500\)

\(\displaystyle 597.75\)

Correct answer:

\(\displaystyle 597.76\)

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.

\(\displaystyle 597.76{\color{Blue} 3}\)

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 \(\displaystyle 597.760\) or \(\displaystyle 597.76\)

Example Question #641 : Identifying Place Value

Round \(\displaystyle 679.179\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 679.17\)

\(\displaystyle 679.2\)

\(\displaystyle 679.16\)

\(\displaystyle 679.18\)

\(\displaystyle 679.1\)

Correct answer:

\(\displaystyle 679.18\)

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.

\(\displaystyle 679.17{\color{Blue} 9}\)

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 \(\displaystyle 679.180\) or \(\displaystyle 679.18\)

Example Question #14 : Round Decimals: Ccss.Math.Content.5.Nbt.A.4

Round \(\displaystyle 742.837\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 742.8\)

\(\displaystyle 742.7\)

\(\displaystyle 742.83\)

\(\displaystyle 742.9\)

\(\displaystyle 742.84\)

Correct answer:

\(\displaystyle 742.84\)

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.

\(\displaystyle 742.83{\color{Blue} 7}\)

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, \(\displaystyle 7\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 742.840\) or \(\displaystyle 742.84\)

Example Question #453 : Number & Operations In Base Ten

Round \(\displaystyle 865.244\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 865.23\)

\(\displaystyle 865.4\)

\(\displaystyle 865.2\)

\(\displaystyle 865.24\)

\(\displaystyle 865.3\)

Correct answer:

\(\displaystyle 865.24\)

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.

\(\displaystyle 865.24{\color{Blue} 4}\)

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, \(\displaystyle 4\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 865.240\) or \(\displaystyle 865.24\)

Example Question #642 : Identifying Place Value

Round \(\displaystyle 989.121\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 900\)

\(\displaystyle 989.10\)

\(\displaystyle 989.11\)

\(\displaystyle 989.12\)

\(\displaystyle 989.13\)

Correct answer:

\(\displaystyle 989.12\)

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.

\(\displaystyle 989.12{\color{Blue} 1}\)

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 \(\displaystyle 989.120\) or \(\displaystyle 989.12\)

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 \(\displaystyle 189.98\)

Learning Tools by Varsity Tutors