Common Core: 4th Grade Math : Use place value understanding and properties of operations to perform multi-digit arithmetic

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

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Example Questions

Example Question #531 : How To Divide

Solve  by making a rectangular array. 

Possible Answers:

Correct answer:

Explanation:

Using our problem to make a rectangular array, we know that we are going to use a total of  squares, and one dimension of the rectangular array is going to have  squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height. 

We can start with  squares and keep adding  on top of the previous  until we've used all  squares. Our rectangular array is  squares high with  squares left over, which is our remainder. 

6

Example Question #3808 : Numbers And Operations

Solve  by making a rectangular array. 

Possible Answers:

Correct answer:

Explanation:

Using our problem to make a rectangular array, we know that we are going to use a total of  squares, and one dimension of the rectangular array is going to have  squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height. 

We can start with  squares and keep adding  on top of the previous  until we've used all  squares. Our rectangular array is  squares high with  square left over, which is our remainder. 

6

Example Question #532 : How To Divide

Solve  by making a rectangular array. 

Possible Answers:

Correct answer:

Explanation:

Using our problem to make a rectangular array, we know that we are going to use a total of  squares, and one dimension of the rectangular array is going to have  squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height. 

We can start with  squares and keep adding  on top of the previous  until we've used all  squares. Our rectangular array is  squares high with  squares left over, which is our remainder. 

9

Example Question #21 : Divide Multi Digit Numbers: Ccss.Math.Content.4.Nbt.B.6

Solve  by making a rectangular array.

Possible Answers:

Correct answer:

Explanation:

Using our problem to make a rectangular array, we know that we are going to use a total of  squares, and one dimension of the rectangular array is going to have  squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height. 

We can start with  squares and keep adding  on top of the previous  until we've used all  squares. Our rectangular array is  squares high with  square left over, which is our remainder. 

9

Example Question #233 : Number & Operations In Base Ten

Solve  by making a rectangular array. 

Possible Answers:

Correct answer:

Explanation:

Using our problem to make a rectangular array, we know that we are going to use a total of  squares, and one dimension of the rectangular array is going to have  squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height. 

We can start with  squares and keep adding  on top of the previous  until we've used all  squares. Our rectangular array is  squares high with  squares left over, which is our remainder. 

 9

 

Example Question #31 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve  by making a rectangular array. 

Possible Answers:

Correct answer:

Explanation:

Using our problem to make a rectangular array, we know that we are going to use a total of  squares, and one dimension of the rectangular array is going to have  squares, we'll make that the width. Our answer will be how many squares high the rectangle array is, or the height. 

We can start with  squares and keep adding  on top of the previous  until we've used all  squares. Our rectangular array is  squares high with  squares left over, which is our remainder. 

 5

Example Question #1 : Adding Multi Digit Numbers

Solve:

Possible Answers:

Correct answer:

Explanation:

When we add with multi-digit numbers, we start with the numbers in the ones place, and then move to the left to the tens place, followed by the hundreds place. 

Add the numbers in the ones place:

Add the numbers in the tens place:

Add the numbers in the hundreds place:

Your final answer should be 

Example Question #2 : Adding Multi Digit Numbers

Solve:

Possible Answers:

Correct answer:

Explanation:

When we add with multi-digit numbers, we start with the numbers in the ones place, and then move to the left to the tens place, followed by the hundreds place. 

Add the numbers in the ones place:

Add the numbers in the tens place:

Because this sum is greater than , we write the  from the ones place and carry the  from the tens place over to the left. Your work should look something like this:

Add the numbers in the hundreds place, including the  that was carried over:

Your final answer should be 

Example Question #3 : Adding Multi Digit Numbers

Solve:

Possible Answers:

Correct answer:

Explanation:

When we add with multi-digit numbers, we start with the numbers in the ones place, and then move to the left to the tens place, followed by the hundreds place. 

Add the numbers in the ones place:

Because this sum is greater than , we write the  from the ones place and carry the  from the tens place over to the left. Your work should look something like this:

Add the numbers in the tens place, including the  that was carried over:

Add the numbers in the hundreds place:

Your final answer should be 

Example Question #4 : Adding Multi Digit Numbers

Solve:

Possible Answers:

Correct answer:

Explanation:

When we add with multi-digit numbers, we start with the numbers in the ones place, and then move to the left to the tens place, followed by the hundreds place. 

Add the numbers in the ones place:

Because this sum is greater than , we write the  from the ones place and carry the  from he tens place over to the left. Your work should look something like this:

Add the numbers in the tens place, including the  that was carried over:

Because this sum is greater than , we write the  from the ones place and carry the  from the tens place over to the left. Your work should look something like this:

Add the numbers in the hundreds place, including the  that was carried over:

Your final answer should be 

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