Fluently Add, Subtract, Multiply, and Divide Multi-Digit Decimals: CCSS.Math.Content.6.NS.B.3

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6th Grade Math › Fluently Add, Subtract, Multiply, and Divide Multi-Digit Decimals: CCSS.Math.Content.6.NS.B.3

Questions 1 - 10
1

Solve:

Explanation

When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

Your work should look something like this:

Add the numbers in the tenths place:

Because this sum is greater than 9, we write the 1 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

Your work should look something like this:

Add the numbers in the ones place:

Because this sum is greater than 9, we write the 2 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

Your final answer should be: 62.18

2

Solve:

Explanation

When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

Your work should look something like this:

Add the numbers in the tenths place:

Because this sum is greater than 9, we write the 1 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

Your work should look something like this:

*Notice that the decimal moves directly down when we are adding decimal numbers.

Add the numbers in the ones place including the one carried over:

Your work should look something like this:

Add the numbers in the tens place:

Your final answer should be:

3

Elliot bought coffee drinks from a famous coffee shop. The first two drinks cost him and he paid a total of . How much did the third drink cost?

Explanation

To find the cost of the third drink, you must subtract the total cost by the cost of the two drinks.

4

Find the product.

Steven bought 4 cheeseburgers to share. Each cheeseburger costs $0.79. How much did Steven pay for the 4 cheeseburgers?

Explanation

The easiest way to do this problem is to multiply .

Another option is to add .

Either way, the correct answer is .

5

Solve:

Explanation

When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

Your work should look something like this:

Add the numbers in the tenths place:

Because this sum is greater than 9, we write the 1 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

Your work should look something like this:

Add the numbers in the ones place:

Because this sum is greater than 9, we write the 2 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

Your final answer should be: 62.18

6

Solve:

Explanation

When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

Your work should look something like this:

Add the numbers in the tenths place:

Because this sum is greater than 9, we write the 1 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

Your work should look something like this:

*Notice that the decimal moves directly down when we are adding decimal numbers.

Add the numbers in the ones place including the one carried over:

Your work should look something like this:

Add the numbers in the tens place:

Your final answer should be:

7

Elliot bought coffee drinks from a famous coffee shop. The first two drinks cost him and he paid a total of . How much did the third drink cost?

Explanation

To find the cost of the third drink, you must subtract the total cost by the cost of the two drinks.

8

Solve:

Explanation

The first thing that we want to do when dividing decimals is to turn the divisor into a whole number. We do this by moving the decimal place to the right:

Screen shot 2020 10 08 at 11.52.33 am

If we move the decimal over one place in the divisor, we must also move the decimal over one place in the dividend:

Screen shot 2020 10 08 at 11.52.37 am

The new division problem should look as follows:

Screen shot 2020 10 08 at 11.52.40 am

*Notice how we've already placed the decimal in our answer. When we divide decimals, we place the decimal directly above the decimal in the dividend, but only after we've completed the first two steps of moving the decimal point in the divisor and dividend.

Now we can divide like normal:

Screen shot 2020 10 08 at 11.52.40 am

Think: how many times can 76 go into 197

76 can go into 197 two times so we write a 2 over the 7 in the dividend:

Screen shot 2020 10 08 at 11.52.50 am

Next, we multiply 2 and 76 and write that product underneath the 197 and subtract:

Screen shot 2020 10 08 at 11.52.54 am

Now we bring down the 6 from the dividend to make the 45 into a 456.

Think: how many times can 76 go into 456?

76 can go into 465 six times so we write a 6 above the 6 in the dividend:

Screen shot 2020 10 08 at 11.52.59 am

Next, we multiply 6 and 76 and write that product underneath the 456 and subtract:

Screen shot 2020 10 08 at 11.53.02 am

We are left with no remainder and a final quotient of 2.6

9

Solve:

Explanation

The first thing that we want to do when dividing decimals is to turn the divisor into a whole number. We do this by moving the decimal place to the right:

If we move the decimal over two places in the divisor, we must also move the decimal over two places in the dividend:

The new division problem should look as follows:

*Notice how we've already placed the decimal in our answer. When we divide decimals, we place the decimal directly above the decimal in the dividend, but only after we've completed the first two steps of moving the decimal point in the divisor and dividend.

Now we can divide like normal:

Think: how many times can 68 go into 405

68 can go into 405 five times times so we write a 5 over the 5 in the dividend:

Next, we multiply 5 and 68 and write that product underneath the 405 and subtract:

Now we bring down the 9 from the dividend to make the 65 into a 659.

Think: how many times can 68 go into 659?

68 can go into 659 nine times so we write a 9 above the 9 in the dividend:

Next, we multiply 9 and 68 and write that product underneath the 659 and subtract:

Now we bring down the 4 from the dividend to make the 47 into a 474.

Think: how many times can 68 go into 474?

68 can go into 474 six times so we write a 6 above the 4 in the dividend:

Next, we multiply 6 and 68 and write that product underneath the 474 and subtract:

Now we bring down the 5 from the dividend to make the 66 into a 665.

Think: how many times can 68 go into 665?

68 can go into 665 nine times so we write a 9 above the 5 in the dividend:

Next, we multiply 9 and 68 and write that product underneath the 665 and subtract:

Notice our remainder is 53 so our answer is 5.969R53.

10

Solve:

Explanation

The first thing that we want to do when dividing decimals is to turn the divisor into a whole number. We do this by moving the decimal place to the right:

If we move the decimal over two places in the divisor, we must also move the decimal over two places in the dividend:

The new division problem should look as follows:

*Notice how we've already placed the decimal in our answer. When we divide decimals, we place the decimal directly above the decimal in the dividend, but only after we've completed the first two steps of moving the decimal point in the divisor and dividend.

Now we can divide like normal:

Think: how many times can 84 go into 159

84 can go into 159 one time times so we write a 1 over the 9 in the dividend:

Next, we multiply 1 and 84 and write that product underneath the 159 and subtract:

Now we bring down the 7 from the dividend to make the 75 into a 757.

Think: how many times can 84 go into 757?

84 can go into 757 nine times so we write a 9 above the 7 in the dividend:

Next, we multiply 9 and 84 and write that product underneath the 757 and subtract:

Now we bring down the 0 from the dividend to make the 1 into a 10.

Think: how many times can 84 go into 10?

84 can go into 10 zero so we write a 0 above the 0 in the dividend:

Next, we multiply 0 and 84 and write that product underneath the 10 and subtract:

Now we bring down the 8 from the dividend to make the 10 into a 108.

Think: how many times can 84 go into 108?

84 can go into 108 one time so we write a 1 above the 8 in the dividend:

Next, we multiply 1 and 84 and write that product underneath the 108 and subtract:

Notice our remainder is 24 so our answer is 1.901R24.

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