Common Core: 5th Grade Math : Number & Operations in Base Ten

Study concepts, example questions & explanations for Common Core: 5th Grade Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #101 : Fluently Multiply Multi Digit Whole Numbers: Ccss.Math.Content.5.Nbt.B.5

Solve:

Possible Answers:

Correct answer:

Explanation:

 

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

For this problem, 44 is the multiplier and 43 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 4 and 3

Then, we multiply 4 and 4 and add the 1 that was carried

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

Next, we multiply 4 and 3

Then, we multiply 4 and 4and add the 1 that was carried

Finally, we add the two products together to find our final answer

 

Example Question #102 : Fluently Multiply Multi Digit Whole Numbers: Ccss.Math.Content.5.Nbt.B.5

Solve:

Possible Answers:

Correct answer:

Explanation:

 

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

For this problem, 37 is the multiplier and 84 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 7 and 4

Then, we multiply 7 and 8 and add the 2 that was carried

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

Next, we multiply 3 and 4

Then, we multiply 3 and 8and add the 1 that was carried

Finally, we add the two products together to find our final answer

 

Example Question #131 : How To Multiply

Solve:

Possible Answers:

Correct answer:

Explanation:

 

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

For this problem, 63 is the multiplier and 33 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 3 and 3

Then, we multiply 3 and 3

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

Next, we multiply 6 and 3

Then, we multiply 6 and 3and add the 1 that was carried

Finally, we add the two products together to find our final answer

 

Example Question #132 : How To Multiply

Solve:

Possible Answers:

Correct answer:

Explanation:

 

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

For this problem, 71 is the multiplier and 60 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 1 and 0

Then, we multiply 1 and 6

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

Next, we multiply 7 and 0

Then, we multiply 7 and 6

Finally, we add the two products together to find our final answer

 

Example Question #133 : How To Multiply

Solve:

Possible Answers:

Correct answer:

Explanation:

 

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

For this problem, 66 is the multiplier and 23 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 6 and 3

Then, we multiply 6 and 2 and add the 1 that was carried

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

Next, we multiply 6 and 3

Then, we multiply 6 and 2and add the 1 that was carried

Finally, we add the two products together to find our final answer

 

Example Question #134 : How To Multiply

Solve:

Possible Answers:

Correct answer:

Explanation:

 

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

For this problem, 83 is the multiplier and 45 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 3 and 5

Then, we multiply 3 and 4 and add the 1 that was carried

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

Next, we multiply 8 and 5

Then, we multiply 8 and 4and add the 4 that was carried

Finally, we add the two products together to find our final answer

 

Example Question #135 : How To Multiply

Solve:

Possible Answers:

Correct answer:

Explanation:

 

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

For this problem, 50 is the multiplier and 28 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 0 and 8

Then, we multiply 0 and 2

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

Next, we multiply 5 and 8

Then, we multiply 5 and 2and add the 4 that was carried

Finally, we add the two products together to find our final answer

 

Example Question #136 : How To Multiply

Solve:

Possible Answers:

Correct answer:

Explanation:

 

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

For this problem, 54 is the multiplier and 18 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 4 and 8

Then, we multiply 4 and 1 and add the 3 that was carried

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

Next, we multiply 5 and 8

Then, we multiply 5 and 1and add the 4 that was carried

Finally, we add the two products together to find our final answer

 

Example Question #137 : How To Multiply

Solve:

Possible Answers:

Correct answer:

Explanation:

 

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

For this problem, 66 is the multiplier and 16 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 6 and 6

Then, we multiply 6 and 1 and add the 3 that was carried

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

Next, we multiply 6 and 6

Then, we multiply 6 and 1and add the 3 that was carried

Finally, we add the two products together to find our final answer

 

Example Question #141 : Whole Numbers

Solve:

Possible Answers:

Correct answer:

Explanation:

 

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

For this problem, 36 is the multiplier and 26 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 6 and 6

Then, we multiply 6 and 2 and add the 3 that was carried

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

Next, we multiply 3 and 6

Then, we multiply 3 and 2and add the 1 that was carried

Finally, we add the two products together to find our final answer

 

Learning Tools by Varsity Tutors