All Common Core: 5th Grade Math Resources
Example Questions
Example Question #691 : Number & Operations In Base Ten
The first step when multiplying decimals is lining up the digits on the right-side regardless of place value. It is okay for a tenths place to be in line with a ones place, we want the numbers lined up on the right.
Then, multiply the digits furthest to the right. In this case, it would be . The is placed under the problem in the product's area and the is carried above the next digit.
Now we will continue multiplying using the until we have exhausted all digits in the first row. Next is . Add the to for a total sum of . The is placed in the product area since there are no more numbers to multiply.
You will notice that we have not placed the decimal, that will come at the end of the solution.
The last step in a decimal multiplication problem is to place the decimal. Count how many digits are behind the decimal in your problem and we will do the same in the product. This problem has digits behind the decimal as you can see in green.
We will place the decimal in the product so that there are digits behind it. Giving us a final answer of
Example Question #692 : Number & Operations In Base Ten
The first step when multiplying decimals is lining up the digits on the right-side regardless of place value. It is okay for a tenths place to be in line with a ones place, we want the numbers lined up on the right.
Then, multiply the digits furthest to the right. In this case, we only have two digits. . The is placed under the problem in the product's area because there are no other digits to multiply.
You will notice that we have not placed the decimal, that will come at the end of the solution.
The last step in a decimal multiplication problem is to place the decimal. Count how many digits are behind the decimal in your problem and we will do the same in the product. This problem has digits behind the decimal as you can see in green.
We will place the decimal in the product so that there are digits behind it. Giving us a final answer of
Example Question #691 : Number & Operations In Base Ten
Multiply:
When we multiply decimals, we can first think of the problem as regular numbers: . In this problem, we have 2 numbers after each decimal, thus our answer has to have two numbers after the decimal point, so we add a zero as a place holder:
We start counting out the two-place values needed to the right of the . As you can see, the decimal moves from the right of the , to the left of the , and then finally moves another place value to the left of the and we fill it in with a zero. The image below shows the movement.
Example Question #21 : Add, Subtract, Multiply, And Divide Decimals To Hundredths: Ccss.Math.Content.5.Nbt.B.7
Subtract:
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
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:
Let's look at this problem:
First, we want to represent the with four tenths blocks and five hundredths blocks:
Next, we want to take away , which means taking away one of the tenths and one of the hundredths:
We can see that we now have three tenths blocks and four hundredths blocks, which means our answer is
Example Question #22 : Add, Subtract, Multiply, And Divide Decimals To Hundredths: Ccss.Math.Content.5.Nbt.B.7
Subtract the following:
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
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:
Let's look at this problem:
First, we want to represent the with five tenths blocks and six hundredths blocks:
Next, we want to take away , which means taking away three of the tenths and five of the hundredths:
We can see that we now have two tenths blocks and one hundredths block, which means our answer is
Example Question #1 : Subtract Decimals
Subtract:
Subtracting decimals is just like subtracting regular numbers. But, you must remember your decimal in your answer:
Example Question #1 : Subtract Decimals
Subtract:
Subtracting decimals is just like subtracting regular numbers. But, you must remember your decimal in your answer:
Example Question #2 : Subtract Decimals
Subtract:
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:
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
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:
Let's look at this problem:
First, we want to represent the with one tenths block and five hundredths blocks:
Next, we want to take away , which means taking away none of the tenths and two of the hundredths:
We can see that we now have one tenths block and three hundredths blocks, which means our answer is
Example Question #1 : Subtract Decimals
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 .
Next, subtract the tenths place.
The decimal will be carried down and remain between the tenths place and the ones place.
The final subtraction portion is the ones place.
The final answer is