Common Core: 5th Grade Math : Add, Subtract, Multiply, and Divide Decimals to Hundredths: CCSS.Math.Content.5.NBT.B.7

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

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Example Questions

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Example Question #1 : Add, Subtract, Multiply, And Divide Decimals To Hundredths: Ccss.Math.Content.5.Nbt.B.7

Possible Answers:

Correct answer:

Explanation:

 

 

 

Example Question #2 : Add, Subtract, Multiply, And Divide Decimals To Hundredths: Ccss.Math.Content.5.Nbt.B.7

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

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

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

Subtract:

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 take away , which means taking away one of the tenths and one of the hundredths:

34

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

Answer chart 4

Example Question #6 : Add, Subtract, Multiply, And Divide Decimals To Hundredths: Ccss.Math.Content.5.Nbt.B.7

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 five tenths blocks and six hundredths blocks: 

56

 

Next, we want to take away , which means taking away three of the tenths and five of the hundredths:

21

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

Answer chart 6

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

Subtract:

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

Multiply:

Possible Answers:

Correct answer:

Explanation:

When multiplying decimals, we can use our base ten blocks to create an area model. To do this, we want to use our hundreds, or one whole, block:

One whole

 is equal to five tenths. Remember, our one whole block is made up of ten tenths. We can shade in , or five tenths blocks, of the whole. Let's shade  of the vertical tenths blocks. Let's use blue to shade:

5

Next, we want to shade four of the tenths blocks to represent the . Since we shaded vertical for the first step, we need to shade horizontal for this step. Let's use yellow to shade:

4

Notice the green shading. This is where the yellow and the blue shading overlapped. (Remember, yellow and blue make green). The overlapping section is our answer. There are twenty green hundredths blocks; therefore, our answer is  which is equal to two tenths, :

20

 

Example Question #9 : Add, Subtract, Multiply, And Divide Decimals To Hundredths: Ccss.Math.Content.5.Nbt.B.7

Multiply:

Possible Answers:

Correct answer:

Explanation:

When multiplying decimals, we can use our base ten blocks to create an area model. To do this, we want to use our hundreds, or one whole, block:

One whole

 is equal to three tenths. Remember, our one whole block is made up of ten tenths. We can shade in , or three tenths blocks, of the whole. Let's shade  of the vertical tenths blocks. Let's use blue to shade:

3

Next, we want to shade four of the tenths blocks to represent the . Since we shaded vertical for the first step, we need to shade horizontal for this step. Let's use yellow to shade:

4

Notice the green shading. This is where the yellow and the blue shading overlapped. (Remember, yellow and blue make green). The overlapping section is our answer. There are twelve green hundredths blocks, or one tenths block and two hundredths block; therefore, our answer is 


12

Example Question #10 : Add, Subtract, Multiply, And Divide Decimals To Hundredths: Ccss.Math.Content.5.Nbt.B.7

Multiply:

Possible Answers:

Correct answer:

Explanation:

When multiplying decimals, we can use our base ten blocks to create an area model. To do this, we want to use our hundreds, or one whole, block:

One whole

 is equal to three tenths. Remember, our one whole block is made up of ten tenths. We can shade in , or three tenths blocks, of the whole. Let's shade  of the vertical tenths blocks. Let's use blue to shade:

3

Next, we want to shade two of the tenths blocks to represent the . Since we shaded vertical for the first step, we need to shade horizontal for this step. Let's use yellow to shade:

2

Notice the green shading. This is where the yellow and the blue shading overlapped. (Remember, yellow and blue make green). The overlapping section is our answer. There are six green hundredths blocks and no tenths; therefore, our answer is 

6

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