Divide multi digit decimals practice
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.
To practice dividing multi-digit decimals, let's go through a step-by-step example:
Example: Divide 4.68 by 0.6
Step 1: Set up the division problem:
- Write down the dividend (the number being divided) outside the division symbol: 4.68
- Write down the divisor (the number that divides the dividend) inside the division symbol: 0.6
4.68 ÷ 0.6
Step 2: Adjust the decimal places:
- Since the divisor, 0.6, has only one decimal place, we must multiply both the dividend and the divisor by 10 to move the decimal place to the right.
- Multiply the divisor, 0.6, by 10: 0.6 × 10 = 6
4.68 ÷ 0.6 = 4.68 × 10 ÷ 6
Step 3: Perform the division:
- Divide the adjusted dividend, 4.68 × 10 = 46.8, by the adjusted divisor, 6.
46.8 ÷ 6 = 7.8
Step 4: Adjust the decimal place in the quotient:
- Since we multiplied the dividend and divisor by 10, we must now move the decimal place one position to the left in the quotient.
7.8 ÷ 10 = 0.78
Step 5: Check your answer:
- Multiply the quotient, 0.78, by the divisor, 0.6, and see if you get the original dividend, 4.68.
0.78 × 0.6 = 0.468
- The product is equal to the original dividend, so our answer is correct.
Final Answer: 4.68 ÷ 0.6 = 0.78
To practice dividing multi-digit decimals, here are the steps you can follow:
Step 1: Write down the division problem. For example, let's say we have the problem 3.6 ÷ 2.4.
Step 2: If the divisor is not a whole number, move the decimal point in both the dividend and divisor to the right until the divisor becomes a whole number. Remember to keep track of how many places you moved the decimal point. In our example, we move the decimal point in both 3.6 and 2.4 one place to the right. This becomes 36 ÷ 24.
Step 3: Perform the division as you would with whole numbers. Divide the first digit of the dividend (3) by the divisor (2). Write the quotient above the line. In our example, the quotient is 1.
Step 4: Multiply the divisor (24) by the quotient (1) and subtract this product from the dividend (36). Write the result below the line. In our example, 24 multiplied by 1 is 24, and subtracting this from 36 gives us 12.
Step 5: Bring down the next digit of the dividend (0) and append it to the result you obtained in Step 4. In our example, the result becomes 120.
Step 6: Repeat steps 3-5 until you have completed the division. Keep bringing down digits from the dividend and dividing until there are no more digits to bring down. In our example, we bring down the last digit (0) and append it to the result. This gives us 1200.
Step 7: The quotient is the final result. In our example, 3.6 ÷ 2.4 = 1.5.
Remember to check your work by multiplying the quotient with the divisor. The product should be equal to the dividend.