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 #91 : How To Find The Part From The Whole

Round \(\displaystyle 728.331\) to the nearest tenth.

 

 

Possible Answers:

\(\displaystyle 728.32\)

\(\displaystyle 728.33\)

\(\displaystyle 728.4\)

\(\displaystyle 728.3\)

\(\displaystyle 728.2\)

Correct answer:

\(\displaystyle 728.3\)

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.

\(\displaystyle 728.3{\color{Blue} 3}1\)

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, \(\displaystyle 3\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 728.300\) or \(\displaystyle 728.3\)

Example Question #692 : Identifying Place Value

Round \(\displaystyle 879.872\) to the nearest tenth.

 

 

Possible Answers:

\(\displaystyle 879.9\)

\(\displaystyle 879.86\)

\(\displaystyle 880\)

\(\displaystyle 879.87\)

\(\displaystyle 879.8\)

Correct answer:

\(\displaystyle 879.9\)

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.

\(\displaystyle 879.8{\color{Blue} 7}2\)

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, \(\displaystyle 7\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 879.900\) or \(\displaystyle 879.9\)

Example Question #693 : Identifying Place Value

Round \(\displaystyle 934.543\) to the nearest tenth.

 

 

Possible Answers:

\(\displaystyle 934.6\)

\(\displaystyle 934.5\)

\(\displaystyle 934.54\)

\(\displaystyle 934.4\)

\(\displaystyle 930\)

Correct answer:

\(\displaystyle 934.5\)

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.

\(\displaystyle 934.5{\color{Blue} 4}3\)

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, \(\displaystyle 4\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 934.500\) or \(\displaystyle 934.5\)

Example Question #1371 : Numbers And Operations

Round \(\displaystyle 172.883\) to the nearest tenth.

 

 

Possible Answers:

\(\displaystyle 172.9\)

\(\displaystyle 170\)

\(\displaystyle 172.8\)

\(\displaystyle 180\)

\(\displaystyle 172.89\)

Correct answer:

\(\displaystyle 172.9\)

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.

\(\displaystyle 172.8{\color{Blue} 8}3\)

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, \(\displaystyle 8\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 172.900\) or \(\displaystyle 172.9\)

Example Question #695 : Identifying Place Value

Round \(\displaystyle 267.143\) to the nearest tenth.

 

Possible Answers:

\(\displaystyle 267\)

\(\displaystyle 267.2\)

\(\displaystyle 267.1\)

\(\displaystyle 267.14\)

\(\displaystyle 270\)

Correct answer:

\(\displaystyle 267.1\)

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.

\(\displaystyle 267.1{\color{Blue} 4}3\)

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, \(\displaystyle 4\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 267.100\) or \(\displaystyle 267.1\)

 

Example Question #696 : Identifying Place Value

Round \(\displaystyle 735.249\) to the nearest tenth.

 

 

Possible Answers:

\(\displaystyle 740\)

\(\displaystyle 735\)

\(\displaystyle 735.3\)

\(\displaystyle 735.2\)

\(\displaystyle 735.1\)

Correct answer:

\(\displaystyle 735.2\)

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.

\(\displaystyle 735.2{\color{Blue} 4}9\)

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 greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 735.200\) or \(\displaystyle 735.2\)

Example Question #691 : Identifying Place Value

Round \(\displaystyle 188.469\) to the nearest tenth.

 

 

Possible Answers:

\(\displaystyle 188.47\)

\(\displaystyle 180\)

\(\displaystyle 188.5\)

\(\displaystyle 190\)

\(\displaystyle 188.4\)

Correct answer:

\(\displaystyle 188.5\)

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.

\(\displaystyle 188.4{\color{Blue} 6}9\)

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 \(\displaystyle 188.500\) or \(\displaystyle 188.5\)

Example Question #698 : Identifying Place Value

Round \(\displaystyle 245.536\) to the nearest tenth.

 

 

Possible Answers:

\(\displaystyle 245.54\)

\(\displaystyle 245.6\)

\(\displaystyle 245.4\)

\(\displaystyle 250\)

\(\displaystyle 245.5\)

Correct answer:

\(\displaystyle 245.5\)

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.

\(\displaystyle 245.5{\color{Blue} 3}6\)

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, \(\displaystyle 3\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 245.500\) or \(\displaystyle 245.5\)

Example Question #271 : Whole And Part

Round \(\displaystyle 394.876\) to the nearest tenth.

 

 

Possible Answers:

\(\displaystyle 394.9\)

\(\displaystyle 394.88\)

\(\displaystyle 394.10\)

\(\displaystyle 394.8\)

\(\displaystyle 390\)

Correct answer:

\(\displaystyle 394.9\)

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.

\(\displaystyle 394.8{\color{Blue} 7}6\)

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, \(\displaystyle 7\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 394.900\) or \(\displaystyle 394.9\)

Example Question #511 : Number & Operations In Base Ten

Round \(\displaystyle 427.127\) to the nearest tenth.

 

 

Possible Answers:

\(\displaystyle 427\)

\(\displaystyle 430\)

\(\displaystyle 427.2\)

\(\displaystyle 427.13\)

\(\displaystyle 427.1\)

Correct answer:

\(\displaystyle 427.1\)

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.

\(\displaystyle 427.1{\color{Blue} 2}7\)

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, \(\displaystyle 2\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 427.100\) or \(\displaystyle 427.1\)

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