Divide multi digit decimals practice
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Sure, here is a practice problem for dividing multi-digit decimals:
Problem: Divide 5.25 by 1.5.
Solution:
To divide decimals, we can follow the same steps as dividing whole numbers, but we need to be careful with the decimal point.
First, let's set up the division:
3.50
_________
1.5 | 5.25
Now, we can start dividing. We want to divide 5.25 by 1.5.
How many times does 1.5 fit into 5.25? We can start with 3, so we write 3 above the division line.
3.50
_________
1.5 | 5.25
-3.00
Next, we subtract 3.00 from 5.25:
3.50
_________
1.5 | 5.25
-3.00
-----
2.25
Now, we bring down the next digit (5) from the dividend and place it after the 2.25:
3.50
_________
1.5 | 5.25
-3.00
-----
2.25
We can also bring down a zero after 2.25 to help with decimal placement:
3.50
_________
1.5 | 5.25
-3.00
-----
2.25
0
Now, we look at the new number (25) and consider how many times 1.5 fits into it. It fits 16 times exactly, so we write 16 as the next quotient digit:
3.50
_________
1.5 | 5.25
-3.00
-----
2.25
0
-1.50
Next, subtract 1.50 from 2.25:
3.50
_________
1.5 | 5.25
-3.00
-----
2.25
0
-1.50
-----
75
Since the remainder (75) is a whole number, we don't need to add any more decimal places. Our final quotient is 3.5.
Therefore, 5.25 divided by 1.5 is equal to 3.5.
Problem: Divide 5.25 by 1.5.
Solution:
To divide decimals, we can follow the same steps as dividing whole numbers, but we need to be careful with the decimal point.
First, let's set up the division:
3.50
_________
1.5 | 5.25
Now, we can start dividing. We want to divide 5.25 by 1.5.
How many times does 1.5 fit into 5.25? We can start with 3, so we write 3 above the division line.
3.50
_________
1.5 | 5.25
-3.00
Next, we subtract 3.00 from 5.25:
3.50
_________
1.5 | 5.25
-3.00
-----
2.25
Now, we bring down the next digit (5) from the dividend and place it after the 2.25:
3.50
_________
1.5 | 5.25
-3.00
-----
2.25
We can also bring down a zero after 2.25 to help with decimal placement:
3.50
_________
1.5 | 5.25
-3.00
-----
2.25
0
Now, we look at the new number (25) and consider how many times 1.5 fits into it. It fits 16 times exactly, so we write 16 as the next quotient digit:
3.50
_________
1.5 | 5.25
-3.00
-----
2.25
0
-1.50
Next, subtract 1.50 from 2.25:
3.50
_________
1.5 | 5.25
-3.00
-----
2.25
0
-1.50
-----
75
Since the remainder (75) is a whole number, we don't need to add any more decimal places. Our final quotient is 3.5.
Therefore, 5.25 divided by 1.5 is equal to 3.5.
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