ISEE Lower Level Quantitative : Identifying Place Value

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

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Example Questions

Example Question #495 : Number & Operations In Base Ten

Round \(\displaystyle 931.112\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 931.11\)

\(\displaystyle 931.1\)

\(\displaystyle 931.2\)

\(\displaystyle 931\)

\(\displaystyle 931.12\)

Correct answer:

\(\displaystyle 931.11\)

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.

\(\displaystyle 931.11{\color{Blue} 2}\)

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 \(\displaystyle 931.110\) or \(\displaystyle 931.11\)

Example Question #496 : Number & Operations In Base Ten

Round \(\displaystyle 167.342\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 167.35\)

\(\displaystyle 167.34\)

\(\displaystyle 167.2\)

\(\displaystyle 167.4\)

\(\displaystyle 167.3\)

Correct answer:

\(\displaystyle 167.34\)

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.

\(\displaystyle 167.34{\color{Blue} 2}\)

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 \(\displaystyle 167.340\) or \(\displaystyle 167.34\)

Example Question #497 : Number & Operations In Base Ten

Round \(\displaystyle 439.187\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 439.19\)

\(\displaystyle 439.18\)

\(\displaystyle 439.3\)

\(\displaystyle 439.1\)

\(\displaystyle 439.2\)

Correct answer:

\(\displaystyle 439.19\)

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.

\(\displaystyle 439.18{\color{Blue} 7}\)

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 \(\displaystyle 439.190\) or \(\displaystyle 439.19\)

Example Question #498 : Number & Operations In Base Ten

Round \(\displaystyle 892.437\) to the nearest hundredth.

 

 

Possible Answers:

\(\displaystyle 892.5\)

\(\displaystyle 892.44\)

\(\displaystyle 892.43\)

\(\displaystyle 892.45\)

\(\displaystyle 892.4\)

Correct answer:

\(\displaystyle 892.44\)

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.

\(\displaystyle 892.43{\color{Blue} 7}\)

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 \(\displaystyle 892.440\) or \(\displaystyle 892.44\)

Example Question #681 : Common Core Math: Grade 5

Round \(\displaystyle 127.426\) to the nearest tenth.

Possible Answers:

\(\displaystyle 127.42\)

\(\displaystyle 127.5\)

\(\displaystyle 127.3\)

\(\displaystyle 127.4\)

\(\displaystyle 127.43\)

Correct answer:

\(\displaystyle 127.4\)

Explanation:

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

\(\displaystyle 127.4{\color{Blue} 2}6\)

If the number in our hundredths place is \(\displaystyle 5\) or greater, we round up. If the number in the hundredths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the hundredths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the hundredths 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 \(\displaystyle 127.400\) or \(\displaystyle 127.4\)

Example Question #61 : Round Decimals: Ccss.Math.Content.5.Nbt.A.4

Round \(\displaystyle 239.894\) to the nearest tenth.

 

 

Possible Answers:

\(\displaystyle 239.98\)

\(\displaystyle 239.9\)

\(\displaystyle 239.97\)

\(\displaystyle 240\)

\(\displaystyle 239.8\)

Correct answer:

\(\displaystyle 239.9\)

Explanation:

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

\(\displaystyle 239.8{\color{Blue} 9}4\)

If the number in our hundredths place is \(\displaystyle 5\) or greater, we round up. If the number in the hundredths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the hundredths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the hundredths 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 \(\displaystyle 239.900\) or \(\displaystyle 239.9\)

Example Question #62 : Round Decimals: Ccss.Math.Content.5.Nbt.A.4

Round \(\displaystyle 326.846\) to the nearest tenth.

 

 

Possible Answers:

\(\displaystyle 326.84\)

\(\displaystyle 326.85\)

\(\displaystyle 326.9\)

\(\displaystyle 326.8\)

\(\displaystyle 326.7\)

Correct answer:

\(\displaystyle 326.8\)

Explanation:

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

\(\displaystyle 326.8{\color{Blue} 4}6\)

If the number in our hundredths place is \(\displaystyle 5\) or greater, we round up. If the number in the hundredths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the hundredths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the hundredths 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 \(\displaystyle 326.800\) or \(\displaystyle 326.8\)

Example Question #63 : Round Decimals: Ccss.Math.Content.5.Nbt.A.4

Round \(\displaystyle 493.567\) to the nearest tenth.

 

 

Possible Answers:

\(\displaystyle 493.7\)

\(\displaystyle 493.56\)

\(\displaystyle 493.5\)

\(\displaystyle 493.6\)

\(\displaystyle 493.57\)

Correct answer:

\(\displaystyle 493.6\)

Explanation:

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

\(\displaystyle 493.5{\color{Blue} 6}7\)

If the number in our hundredths place is \(\displaystyle 5\) or greater, we round up. If the number in the hundredths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the hundredths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the hundredths 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 \(\displaystyle 493.600\) or \(\displaystyle 493.6\)

Example Question #681 : Common Core Math: Grade 5

Round \(\displaystyle 567.213\) to the nearest tenth.

 

 

Possible Answers:

\(\displaystyle 567.1\)

\(\displaystyle 567.21\)

\(\displaystyle 570\)

\(\displaystyle 567.2\)

\(\displaystyle 567.3\)

Correct answer:

\(\displaystyle 567.2\)

Explanation:

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

\(\displaystyle 567.2{\color{Blue} 1}3\)

If the number in our hundredths place is \(\displaystyle 5\) or greater, we round up. If the number in the hundredths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the hundredths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the hundredths 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 \(\displaystyle 567.200\) or \(\displaystyle 567.2\)

Example Question #91 : How To Find The Part From The Whole

Round \(\displaystyle 673.754\) to the nearest tenth.

 

 

Possible Answers:

\(\displaystyle 670\)

\(\displaystyle 673.75\)

\(\displaystyle 673.65\)

\(\displaystyle 673.7\)

\(\displaystyle 673.8\)

Correct answer:

\(\displaystyle 673.8\)

Explanation:

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

\(\displaystyle 673.7{\color{Blue} 5}4\)

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

In this case, \(\displaystyle 5\) is equal to \(\displaystyle 5\) so our rounded number is \(\displaystyle 673.800\) or \(\displaystyle 673.8\)

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