Common Core: 4th Grade Math : Generalize place value understanding for multi-digit whole numbers

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

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Example Questions

Example Question #407 : Common Core Math: Grade 4

Round \(\displaystyle 423\) to the nearest hundred.

Possible Answers:

\(\displaystyle 300\)

\(\displaystyle 400\)

\(\displaystyle 320\)

\(\displaystyle 420\)

\(\displaystyle 430\)

Correct answer:

\(\displaystyle 400\)

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.

\(\displaystyle 4{\color{Blue} 2}3\)

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 \(\displaystyle 400\)

Example Question #408 : Common Core Math: Grade 4

Round \(\displaystyle 1\textup,802\) to the nearest hundred.

Possible Answers:

\(\displaystyle 1\textup,900\)

\(\displaystyle 1\textup,700\)

\(\displaystyle 1\textup,800\)

\(\displaystyle 1\textup,000\)

\(\displaystyle 2\textup,000\)

Correct answer:

\(\displaystyle 1\textup,800\)

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.

\(\displaystyle 1\textup,8{\color{Blue} 0}2\)

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, \(\displaystyle 0\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 1\textup,800\)

Example Question #409 : Common Core Math: Grade 4

Round \(\displaystyle 66\textup,835\) to the nearest thousand.

Possible Answers:

\(\displaystyle 66\textup,800\)

\(\displaystyle 68\textup,000\)

\(\displaystyle 66\textup,700\)

\(\displaystyle 66\textup,000\)

\(\displaystyle 67\textup,000\)

Correct answer:

\(\displaystyle 67\textup,000\)

Explanation:

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

\(\displaystyle 66\textup,{\color{Blue} 8}35\)

If the number in our hundreds place is \(\displaystyle 5\) or greater, we round up. If the number in the hundreds place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the 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 thousands 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 \(\displaystyle 67\textup,000\)

Example Question #410 : Common Core Math: Grade 4

Round \(\displaystyle 4\textup,702\) to the nearest hundred.

Possible Answers:

\(\displaystyle 4\textup,000\)

\(\displaystyle 4\textup,700\)

\(\displaystyle 5\textup,700\)

\(\displaystyle 5\textup,000\)

\(\displaystyle 4\textup,600\)

Correct answer:

\(\displaystyle 4\textup,700\)

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.

\(\displaystyle 4\textup,7{\color{Blue} 0}2\)

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, \(\displaystyle 0\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 4\textup,700\)

Example Question #191 : Number & Operations In Base Ten

Round \(\displaystyle 93\textup,899\) to the nearest thousand.

Possible Answers:

\(\displaystyle 94\textup,900\)

\(\displaystyle 94\textup,000\)

\(\displaystyle 90\textup,000\)

\(\displaystyle 93\textup,000\)

\(\displaystyle 95\textup,000\)

Correct answer:

\(\displaystyle 94\textup,000\)

Explanation:

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

\(\displaystyle 93\textup,{\color{Blue} 8}99\)

If the number in our hundreds place is \(\displaystyle 5\) or greater, we round up. If the number in the hundreds place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the 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 thousands 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 \(\displaystyle 94\textup,000\)

Example Question #192 : Number & Operations In Base Ten

Round \(\displaystyle 985\textup,511\) to the nearest thousand.

Possible Answers:

\(\displaystyle 987\textup,000\)

\(\displaystyle 988\textup,000\)

\(\displaystyle 986\textup,000\)

\(\displaystyle 985\textup,000\)

\(\displaystyle 990\textup,000\)

Correct answer:

\(\displaystyle 986\textup,000\)

Explanation:

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

\(\displaystyle 985\textup,{\color{Blue} 5}11\)

If the number in our hundreds place is \(\displaystyle 5\) or greater, we round up. If the number in the hundreds place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the 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 thousands 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 \(\displaystyle 986\textup,000\)

Example Question #193 : Number & Operations In Base Ten

Round \(\displaystyle 131\textup,675\) to the nearest hundred thousand.

Possible Answers:

\(\displaystyle 130\textup,000\)

\(\displaystyle 100\textup,000\)

\(\displaystyle 110\textup,000\)

\(\displaystyle 120\textup,000\)

\(\displaystyle 140\textup,000\)

Correct answer:

\(\displaystyle 100\textup,000\)

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.

\(\displaystyle 1{\color{Blue} 3}1\textup,675\)

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 \(\displaystyle 100\textup,000\)

Example Question #194 : Number & Operations In Base Ten

Round \(\displaystyle 536\textup,574\) to the nearest thousand.

Possible Answers:

\(\displaystyle 550\textup,000\)

\(\displaystyle 500\textup,000\)

\(\displaystyle 540\textup,000\)

\(\displaystyle 536\textup,000\)

\(\displaystyle 537\textup,000\)

Correct answer:

\(\displaystyle 537\textup,000\)

Explanation:

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

\(\displaystyle 536\textup,{\color{Blue} 5}74\)

If the number in our hundreds place is \(\displaystyle 5\) or greater, we round up. If the number in the hundreds place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the 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 thousands 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 \(\displaystyle 537\textup,000\)

Example Question #195 : Number & Operations In Base Ten

Round \(\displaystyle 439\textup,184\) to the nearest ten.

Possible Answers:

\(\displaystyle 439,180\)

\(\displaystyle 439,190\)

\(\displaystyle 439,170\)

\(\displaystyle 439\textup,100\)

\(\displaystyle 439\textup,200\)

Correct answer:

\(\displaystyle 439,180\)

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.

\(\displaystyle 439\textup,18{\color{Blue} 4}\)

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 \(\displaystyle 439\textup,180\)

Example Question #196 : Number & Operations In Base Ten

Round \(\displaystyle 7\textup,127\) to the nearest hundred.

Possible Answers:

\(\displaystyle 7\textup,120\)

\(\displaystyle 7\textup,130\)

\(\displaystyle 7\textup,200\)

\(\displaystyle 7\textup,100\)

\(\displaystyle 7\textup,000\)

Correct answer:

\(\displaystyle 7\textup,100\)

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.

\(\displaystyle 7\textup,1{\color{Blue} 2}7\)

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 \(\displaystyle 7\textup,100\)

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