Common Core: 5th Grade Math : Common Core Math: Grade 5

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #691 : Number & Operations In Base Ten

Subtract:

Possible Answers:

Correct answer:

Explanation:

Subtracting decimals is just like subtracting regular numbers. But, you must remember your decimal in your answer:

        

Example Question #692 : Number & Operations In Base Ten

Subtract:

Possible Answers:

Correct answer:

Explanation:

Subtracting decimals is just like subtracting regular numbers. But, you must remember your decimal in your answer:

        

Example Question #692 : Number & Operations In Base Ten

Subtract:

Possible Answers:

Correct answer:

Explanation:

We can use base ten blocks to help us solve this problem. Let's review what our base ten blocks are by using a whole number 

Base ten blocks

When we put this together, we add:

To use base ten blocks to add decimal numbers, we need to think of the base ten blocks a little differently. We think of the hundreds block as one whole. The tens block as tenths because you would need ten of these to make one whole. Finally, the ones block as hundredths because you would need a hundred of these to make one whole: 

Base ten blocks decimal

Let's look at this problem:

First, we want to represent the  with one tenths block and five hundredths blocks: 

15

Next, we want to take away , which means taking away none of the tenths and two of the hundredths:

13

We can see that we now have one tenths block and three hundredths blocks, which means our answer is 

Answer chart 5

Example Question #1 : Subtract Decimals

Possible Answers:

Correct answer:

Explanation:

Subtracting decimals is just like subtracting whole numbers. But, you must remember your decimal in your answer.

 

You start subtracting on the far right which in this case is the hundredths place. You cannot take  from  so we must borrow a tenth from the tenths place. The  becomes a   and we carry that tenth into the hundredths place making the  a . Screen shot 2020 09 11 at 8.58.53 am

 

Next, subtract the tenths place. Screen shot 2020 09 11 at 9.00.06 am

The decimal will be carried down and remain between the tenths place and the ones place. Screen shot 2020 09 11 at 9.00.11 am

The final subtraction portion is the ones place. Screen shot 2020 09 11 at 9.00.27 am

The final answer is 

Example Question #1 : Subtract Decimals

Possible Answers:

Correct answer:

Explanation:

Subtracting decimals is just like subtracting whole numbers. But, you must remember your decimal in your answer.

You start subtracting on the far right which in this case is the hundredths place. Screen shot 2020 09 11 at 8.31.19 am

Next, subtract the tenths place Screen shot 2020 09 11 at 8.31.37 am

The decimal will be carried down and remain between the tenths place and the one' place. Screen shot 2020 09 11 at 8.31.48 am

The final subtraction portion is the ones place. Screen shot 2020 09 11 at 8.31.54 am

Example Question #32 : Add, Subtract, Multiply, And Divide Decimals To Hundredths: Ccss.Math.Content.5.Nbt.B.7

Possible Answers:

Correct answer:

Explanation:

Subtracting decimals is just like subtracting whole numbers. But, you must remember your decimal in your answer.

 

You start subtracting on the far right which in this case is the hundredths place. Screen shot 2020 09 11 at 9.09.46 am

Next, subtract the tenths place. Screen shot 2020 09 11 at 9.09.50 am

The decimal will be carried down and remain between the tenths place and the ones place. Screen shot 2020 09 11 at 9.09.58 am

The final subtraction portion is the ones place. Screen shot 2020 09 11 at 9.10.03 am

The final answer is 

Example Question #1 : Subtract Decimals

Possible Answers:

Correct answer:

Explanation:

Subtracting decimals is just like subtracting whole numbers. But, you must remember your decimal in your answer.

 

You start subtracting on the far right which in this case is the hundredths place. Screen shot 2020 09 11 at 9.28.55 am

Next, subtract the tenths place. You cannot take  from  so we must borrow a one from the ones place. The  becomes an  and we carry that into the tenths place making the  a Screen shot 2020 09 11 at 9.29.01 am

The decimal will be carried down and remain between the tenths place and the ones place. Screen shot 2020 09 11 at 9.29.07 am

The final subtraction portion is the ones place. Screen shot 2020 09 11 at 9.29.13 am

The final answer is 

Example Question #1 : Add Decimals

Add:

Possible Answers:

Correct answer:

Explanation:

We can use base ten blocks to help us solve this problem. Let's review what our base ten blocks are by using a whole number 

Base ten blocks

When we put this together, we add:

To use base ten blocks to add decimal numbers, we need to think of the base ten blocks a little differently. We think of the hundreds block as one whole. The tens block as tenths because you would need ten of these to make one whole. Finally, the ones block as hundredths because you would need a hundred of these to make one whole: 

Base ten blocks decimal

Let's look at this problem:

First, we want to represent the  with four tenths blocks and five hundredths blocks: 

45

Next, we want to represent the  with one tenths block and three hundredths blocks:

13

Now, we want to combine our blocks together:

58

We can see that we now have five tenths blocks and eight hundredths blocks, which means our answer is 

Answer chart

 

Example Question #2 : Add Decimals

Add:

Possible Answers:

Correct answer:

Explanation:

We can use base ten blocks to help us solve this problem. Let's review what our base ten blocks are by using a whole number 

Base ten blocks

When we put this together, we add:

To use base ten blocks to add decimal numbers, we need to think of the base ten blocks a little differently. We think of the hundreds block as one whole. The tens block as tenths because you would need ten of these to make one whole. Finally, the ones block as hundredths because you would need a hundred of these to make one whole: 

Base ten blocks decimal

Let's look at this problem:

First, we want to represent the  with five tenths blocks and six hundredths blocks: 

56

Next, we want to represent the  with one tenths block and seven hundredths blocks:

17

Now, we want to combine our blocks together:

73

Notice that we have more than ten hundredths blocks. This means we can take ten of the hundredths blocks and make another tenths block:

73 1

73 2

We can see that we now have seven tenths blocks and three hundredths blocks, which means our answer is 

Answer chart 3

 

Example Question #3 : Add Decimals

Add the following:

Possible Answers:

Correct answer:

Explanation:

We can use base ten blocks to help us solve this problem. Let's review what our base ten blocks are by using a whole number 

Base ten blocks

When we put this together, we add:

To use base ten blocks to add decimal numbers, we need to think of the base ten blocks a little differently. We think of the hundreds block as one whole. The tens block as tenths because you would need ten of these to make one whole. Finally, the ones block as hundredths because you would need a hundred of these to make one whole: 

Base ten blocks decimal

Let's look at this problem:

First, we want to represent the  with one tenths block and five hundredths blocks: 

15

Next, we want to represent the  with three tenths block and two hundredths blocks:

32

Now, we want to combine our blocks together:

47

We can see that we now have four tenths blocks and seven hundredths blocks, which means our answer is 

Answer chart 2

Learning Tools by Varsity Tutors