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

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

varsity tutors app store varsity tutors android store

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 #181 : Generalize Place Value Understanding For Multi Digit Whole Numbers

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

Possible Answers:

\displaystyle 7\textup,000

\displaystyle 7\textup,700

\displaystyle 6\textup,700

\displaystyle 6\textup,600

\displaystyle 6\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

Learning Tools by Varsity Tutors