Common Core: 4th Grade Math : Common Core Math: Grade 4

Study concepts, example questions & explanations for Common Core: 4th Grade Math

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Example Questions

Example Question #171 : Generalize Place Value Understanding For Multi Digit Whole Numbers

Round \(\displaystyle 4\textup,301\) to the nearest hundred.

Possible Answers:

\(\displaystyle 4\textup,400\)

\(\displaystyle 4\textup,200\)

\(\displaystyle 4\textup,000\)

\(\displaystyle 4\textup,100\)

\(\displaystyle 4\textup,300\)

Correct answer:

\(\displaystyle 4\textup,300\)

Explanation:

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

\(\displaystyle 4\textup,3{\color{Blue} 0}1\)

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 to the right become \(\displaystyle 0\). When we round down, the number in the hundreds place stays the same and all the other numbers to the right become \(\displaystyle 0\).

In this case, \(\displaystyle 0\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 4\textup,300\)

Example Question #172 : Generalize Place Value Understanding For Multi Digit Whole Numbers

Round \(\displaystyle 227\) to the nearest hundred.

Possible Answers:

\(\displaystyle 100\)

\(\displaystyle 230\)

\(\displaystyle 300\)

\(\displaystyle 240\)

\(\displaystyle 200\)

Correct answer:

\(\displaystyle 200\)

Explanation:

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

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

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 to the right become \(\displaystyle 0\). When we round down, the number in the hundreds 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 \(\displaystyle 200\)

Example Question #173 : Generalize Place Value Understanding For Multi Digit Whole Numbers

Round \(\displaystyle 67\textup,715\) to the nearest ten.

Possible Answers:

\(\displaystyle 70\textup,000\)

\(\displaystyle 67\textup,000\)

\(\displaystyle 67\textup,720\)

\(\displaystyle 68\textup,00\)

\(\displaystyle 67\textup,700\)

Correct answer:

\(\displaystyle 67\textup,720\)

Explanation:

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

\(\displaystyle 67\textup,71{\color{Blue} 5}\)

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 \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the tens 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 \(\displaystyle 67\textup,720\)

Example Question #174 : Generalize Place Value Understanding For Multi Digit Whole Numbers

Round \(\displaystyle 852\) to the nearest hundred.

Possible Answers:

\(\displaystyle 860\)

\(\displaystyle 800\)

\(\displaystyle 850\)

\(\displaystyle 900\)

\(\displaystyle 950\)

Correct answer:

\(\displaystyle 900\)

Explanation:

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

\(\displaystyle 8{\color{Blue} 5}2\)

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 to the right become \(\displaystyle 0\). When we round down, the number in the hundreds 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 \(\displaystyle 900\)

Example Question #175 : Generalize Place Value Understanding For Multi Digit Whole Numbers

Round \(\displaystyle 369\) to the nearest ten.

Possible Answers:

\(\displaystyle 360\)

\(\displaystyle 400\)

\(\displaystyle 470\)

\(\displaystyle 300\)

\(\displaystyle 370\)

Correct answer:

\(\displaystyle 370\)

Explanation:

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

\(\displaystyle 36{\color{Blue} 9}\)

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 to the right become \(\displaystyle 0\). When we round down, the number in the hundreds 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 \(\displaystyle 370\)

Example Question #176 : Generalize Place Value Understanding For Multi Digit Whole Numbers

Round \(\displaystyle 872\textup,133\) to the nearest ten.

Possible Answers:

\(\displaystyle 872\textup,130\)

\(\displaystyle 872\textup,120\)

\(\displaystyle 872\textup,100\)

\(\displaystyle 872\textup,200\)

\(\displaystyle 872\textup,140\)

Correct answer:

\(\displaystyle 872\textup,130\)

Explanation:

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

\(\displaystyle 872\textup,13{\color{Blue} 3}\)

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 \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the tens 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 \(\displaystyle 872\textup,130\).

Example Question #181 : Number & Operations In Base Ten

Round \(\displaystyle 919\) to the nearest ten.

Possible Answers:

\(\displaystyle 930\)

\(\displaystyle 920\)

\(\displaystyle 900\)

\(\displaystyle 940\)

\(\displaystyle 910\)

Correct answer:

\(\displaystyle 920\)

Explanation:

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

\(\displaystyle 91{\color{Blue} 9}\)

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 \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the tens 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 \(\displaystyle 920\)

Example Question #182 : Number & Operations In Base Ten

Round \(\displaystyle 6\textup,729\) to the nearest hundred.

Possible Answers:

\(\displaystyle 6\textup,600\)

\(\displaystyle 6\textup,000\)

\(\displaystyle 7\textup,700\)

\(\displaystyle 6\textup,700\)

\(\displaystyle 7\textup,000\)

Correct answer:

\(\displaystyle 6\textup,700\)

Explanation:

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

\(\displaystyle 6\textup,7{\color{Blue} 2}9\)

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 to the right become \(\displaystyle 0\). When we round down, the number in the hundreds 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 \(\displaystyle 6\textup,700\)

Example Question #183 : Number & Operations In Base Ten

Round \(\displaystyle 194\textup,974\) to the nearest ten.

Possible Answers:

\(\displaystyle 195\textup,000\)

\(\displaystyle 194\textup,970\)

\(\displaystyle 194\textup,960\)

\(\displaystyle 194\textup,980\)

\(\displaystyle 194\textup,900\)

Correct answer:

\(\displaystyle 194\textup,970\)

Explanation:

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

\(\displaystyle 194,97{\color{Blue} 4}\)

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 \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the tens 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 \(\displaystyle 194\textup,970\)

Example Question #184 : Number & Operations In Base Ten

Round \(\displaystyle 337\textup,492\) to the nearest hundred thousand.

Possible Answers:

\(\displaystyle 400\textup,000\)

\(\displaystyle 330\textup,000\)

\(\displaystyle 200\textup,000\)

\(\displaystyle 340\textup,000\)

\(\displaystyle 300\textup,000\)

Correct answer:

\(\displaystyle 300\textup,000\)

Explanation:

When we round a number to the nearest hundred thousand we look to the ten thousands place to tell us if we round up or down.

\(\displaystyle 3{\color{Blue} 3}7\textup,492\)

If the number in our ten thousands place is \(\displaystyle 5\) or greater, we round up. If the number in the ten thousands place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the hundred thousands place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the hundred thousands 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 \(\displaystyle 300\textup,000\)

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