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

Round  to the nearest ten.

Possible Answers:

\displaystyle 587,200

\displaystyle 587,130

\displaystyle 587,100

\displaystyle 587,140

\displaystyle 587,00

Correct answer:

\displaystyle 587,130

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 587,13{\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 587,130

Example Question #326 : How To Find The Part From The Whole

Round  to the nearest hundred thousand.

Possible Answers:

Correct answer:

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.

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 

Example Question #41 : Round Multi Digit Numbers: Ccss.Math.Content.4.Nbt.A.3

Round  to the nearest thousand.

Possible Answers:

Correct answer:

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.

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 

Example Question #42 : Round Multi Digit Numbers: Ccss.Math.Content.4.Nbt.A.3

Round  to the nearest thousand.

Possible Answers:

Correct answer:

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.

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 

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

Round  to the nearest hundred.

Possible Answers:

Correct answer:

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.

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 

Example Question #42 : Round Multi Digit Numbers: Ccss.Math.Content.4.Nbt.A.3

Round \displaystyle 227 to the nearest hundred.

Possible Answers:

\displaystyle 200

\displaystyle 230

\displaystyle 100

\displaystyle 240

\displaystyle 300

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 #43 : Round Multi Digit Numbers: Ccss.Math.Content.4.Nbt.A.3

Round  to the nearest ten.

Possible Answers:

Correct answer:

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.

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 

Example Question #41 : Round Multi Digit Numbers: Ccss.Math.Content.4.Nbt.A.3

Round \displaystyle 852 to the nearest hundred.

Possible Answers:

\displaystyle 850

\displaystyle 860

\displaystyle 900

\displaystyle 800

\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 #711 : Whole And Part

Round \displaystyle 369 to the nearest ten.

Possible Answers:

\displaystyle 300

\displaystyle 400

\displaystyle 370

\displaystyle 360

\displaystyle 470

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 #172 : Number & Operations In Base Ten

Round  to the nearest ten.

Possible Answers:

Correct answer:

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.

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 .

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