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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #11 : Multiply Multi Digit Numbers: Ccss.Math.Content.4.Nbt.B.5

Solve:

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is ; therefore, the rectangular array should have  squares across the top row and  squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 2.15.20 pm

We can count the squares to find our answer. The correct answer is is 

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

For this problem,  is the multiplier and  is the multiplicand. 

First, we multiply  and 

Next, we multiply  and 

 

Example Question #11 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve the following:

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is ; therefore, the rectangular array should have  squares across the top row and  squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 12.20.54 pm

We can count the squares to find our answer. The correct answer is is 

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

For this problem,  is the multiplier and  is the multiplicand. 

First, we multiply  and 

Next, we multiply  and 

 

Example Question #1 : 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. 

27 3

Example Question #2 : 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. 

3

Example Question #3 : 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. 

52 12

Example Question #4 : 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. 

48 12

Example Question #5 : 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. 

5

Example Question #11 : 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. 

5

Example Question #7 : 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. 

6

Example Question #8 : 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. 

42 6

Learning Tools by Varsity Tutors