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

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

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Example Questions

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 #701 : Number & Operations In Base Ten

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 #702 : Number & Operations In Base Ten

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 #703 : Number & Operations In Base Ten

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

Example Question #704 : Number & Operations In Base Ten

Add: 

Possible Answers:

Correct answer:

Explanation:

When we add decimals, we can treat it like a normal addition problem, we just need to remember out decimal: 

       

Example Question #705 : Number & Operations In Base Ten

Add:

Possible Answers:

Correct answer:

Explanation:

Adding decimals is just like adding regular numbers, you just must remember to bring down your decimal point: 

       

Example Question #706 : Number & Operations In Base Ten

Add:

Possible Answers:

Correct answer:

Explanation:

Adding decimals is like adding regular numbers, you just need to remember your decimal:

       

Example Question #1 : Add Decimals

Possible Answers:

Correct answer:

Explanation:

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

You start adding on the far right which in this case is the hundredths place. . We have to carry a  from the sum  above the tenths place and place the other  below the hundredths place. Screen shot 2020 09 11 at 11.53.18 am

Next, add the tenths place. Screen shot 2020 09 11 at 11.53.23 am

The decimal will be carried down and remain between the tenths place and the ones place. Screen shot 2020 09 11 at 11.53.27 am

The final addition portion is the ones place. Screen shot 2020 09 11 at 11.53.32 am

The final answer is 

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