All Common Core: 5th Grade Math Resources
Example Questions
Example Question #11 : Multiply Decimals
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.
Now we will continue multiplying using the until we have exhausted all digits in the first row. Next is
. Place the
in the product's area.
Multiply . We will place the
underneath in the product's area because there are no more digits to multiply in the top row.
You will notice that we have not placed the decimal, that will come at the end of the solution. Now we can cross out the digits we have exhausted and put a placeholder zero in the product's area to hold the place of the furthest right digit that we have finished with.
It is time to multiply by our final digit, in
, we start back with the furthest right-hand digit,
.
. Place the
in the products area and carry the
above the next digit we will multiply.
Continue multiplying, . Add the
to the
and place the sum of
in the product's area.
Finally, we are at the last multiplication step before we combine our product. . The
is placed in the product's area and we are out of digits to multiply.
Now we add our partial products together.
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 pink.
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
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 #11 : Multiply Decimals
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.
All Common Core: 5th Grade Math Resources
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