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

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Question

Add:

Answer

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

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Question

Add the following:

Answer

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

Compare your answer with the correct one above

Question

Add:

Answer

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

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Question

Add:

Answer

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

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Question

Add:

Answer

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

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Question

Add:

Answer

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

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Question

Answer

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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Question

Answer

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 below the hundredths place. Screen shot 2020 09 11 at 12.07.59 pm

Next, add the tenths place. Screen shot 2020 09 11 at 12.08.04 pm

The decimal will be carried down and remain between the tenths place and the ones place. Screen shot 2020 09 11 at 12.08.07 pm

The final addition portion is the ones place. Screen shot 2020 09 11 at 12.08.12 pm

The final answer is

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Question

Answer

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. Screen shot 2020 09 11 at 12.41.27 pm

Next, add the tenths place. . We have to carry a from the sum above the ones place and place the below the tenths place. Screen shot 2020 09 11 at 12.41.31 pm

The decimal will be carried down and remain between the tenths place and the ones place. Screen shot 2020 09 11 at 12.41.34 pm

The final addition portion is the ones place. Screen shot 2020 09 11 at 12.41.38 pm

The final answer is

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Question

Answer

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. Screen shot 2020 09 11 at 1.02.37 pm

Next, add the tenths place. Screen shot 2020 09 11 at 1.02.41 pm

The decimal will be carried down and remain between the tenths place and the ones place. Screen shot 2020 09 11 at 1.02.45 pm

The final addition portion is the ones place. . The first in will be carried into the tens place. Screen shot 2020 09 11 at 1.02.49 pm

The final answer is

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Question

Answer

No explanation available

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Question

Solve the following:

Answer

We can use base ten blocks to help us solve this problem. First, we want to use base ten blocks to represent

6

Because we are dividing by , we need to split up our into groups of

2

As you can see, we have groups; thus,

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Question

Divide:

Answer

We can use base ten blocks to help us solve this problem. First, we want to use base ten blocks to represent

8

Because we are dividing by , we need to split up our into groups of :

4

As you can see, we have groups; thus,

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Question

Divide:

Answer

We can use base ten blocks to help us solve this problem. First, we want to use base ten blocks to represent

9

Because we are dividing by , we need to split up our into groups of :

3

As you can see, we have groups; thus,

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Question

Divide:

Answer

We can use base ten blocks to help us solve this problem. First, we want to use base ten blocks to represent

Screen shot 2020 07 01 at 7.51.55 pm

Because we are dividing by , we need to split up our into groups of

Screen shot 2020 07 01 at 7.55.20 pm

We can see that we have 2 groups of 2, thus the answer is 2.

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Question

Divide:

Answer

We can use base ten blocks to help us solve this problem. First, we want to use base ten blocks to represent

Screen shot 2020 07 01 at 7.59.46 pm

Because we are dividing by , we need to split up our into groups of

Screen shot 2020 07 01 at 8.01.10 pm

As you can see, we have groups. Thus the answer is .

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Question

Divide:

Answer

We can use base ten blocks to help us solve this problem. First, we want to use base ten blocks to represent .2

Screen shot 2020 07 01 at 8.04.06 pm

Because we are dividing .2 by .2, we need to split up our .2 into groups of .2:

Screen shot 2020 07 01 at 8.04.06 pm

We can see that we have 1 group, thus our answer is 1.

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Question

Screen shot 2020 09 16 at 1.44.48 pm

Answer

The problem that you are challenged to solve is .

is the dividend, this is what is being broken up into groups. is our divisor which is the number of groups you are making. We need to split in half to see how many are in each group.

The first step is to place your decimal above your equation in the same place. It will line up with the decimal inside of your "long-division house".
Screen shot 2020 09 16 at 1.44.52 pm

Next, we need to use or multiplication facts to determine what can be multiplied by to make or get close to it without going over. is the fact that works best ( is too large). We will place the numeral directly above the in the ones place to indicate that groups of fit into the . We will put the product of which was underneath the in the ones place and subtract the difference. The numbers above the "house" are our quotient or answer to the division problem.

Screen shot 2020 09 16 at 1.44.57 pm

Next, we will carry the in the tenths place down and put it next to the . We will work with the numbers as if they were when thinking of multiplication facts, but it should be noted this is actually when you consider the decimal placement. so we place the above the "house" in the tenths place of our quotient and subtract the . We are left with remaining so there is no remainder.

Screen shot 2020 09 16 at 1.56.57 pm

Our final answer is , which means that half of is

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Question

Screen shot 2020 09 16 at 2.20.53 pm

Answer

The problem that you are challenged to solve is .

Screen shot 2020 09 16 at 2.20.53 pm

is the dividend, this is what is being broken up into groups. is our divisor which is the number of groups you are making. We need to split in thirds to see how many are in each group.

The first step is to place your decimal above your equation in the same place. It will line up with the decimal inside of your "long-division house".

Screen shot 2020 09 16 at 2.20.57 pm

Next, we need to use or multiplication facts to determine what can be multiplied by to make or get close to it without going over. is the fact that works best ( is too large). We will place the numeral directly above the in the ones place to indicate that groups of fit into the . We will put the product of which was underneath the and subtract the difference. The numbers above the "house" are our quotient or answer to the division problem.

Screen shot 2020 09 16 at 2.21.00 pm

Next, we will carry the in the tenths place down and put it next to the . We will work with the numbers as if they were when thinking of multiplication facts, but it should be noted this is actually when you consider the decimal placement. so we place the above the "house" in the tenths place of our quotient and subtract the . We are left with remaining.

Screen shot 2020 09 16 at 2.21.03 pm

Finally, we carry down the from the hundredths place and place it next to the giving us (or for the purpose of our multiplication facts.) so we place the above the in the hundredths place on top of our "house" and subtract the leaving us with a remainder of .

Screen shot 2020 09 16 at 2.21.07 pm

Our final answer is

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Question

Screen shot 2020 09 16 at 2.55.13 pm

Answer

The problem that you are challenged to solve is .

Screen shot 2020 09 16 at 2.55.13 pm

is the dividend, this is what is being broken up into groups. is our divisor which is the number of groups you are making. We need to split in quarters to see how many are in each group.

The first step is to place your decimal above your equation in the same place. It will line up with the decimal inside of your "long-division house".

Screen shot 2020 09 16 at 2.58.05 pm

Next, we need to use or multiplication facts to determine what can be multiplied by to make or get close to it without going over. is the fact that works best. We will place the numeral directly above the in the ones place to indicate that groups of fit into the . We will put the product of which was underneath the and subtract the difference. The numbers above the "house" are our quotient or answer to the division problem.

Screen shot 2020 09 16 at 3.04.05 pm

Next, we will carry the in the tenths place down and put it next to the . so we place the above the "house" in the tenths place of our quotient and subtract the . We are left with remaining.

Screen shot 2020 09 16 at 3.05.04 pm

Finally, we carry down the from the hundredths place and place it next to the . so we place the above the in the hundredths place on top of our "house" and subtract the leaving us with a remainder of .

Screen shot 2020 09 16 at 3.05.13 pm

Our final answer is

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