6th grade Q1

When dividing a decimal by a whole number, it isn't necessary to adjust the numbers before beginning the division process.

You can use long division, but it's really important to watch where the decimal point goes.

This is how you handle the decimal point in long division:

1.  Identify the decimal point:

Before you begin the division, locate the decimal point in the dividend (the number you are dividing).

2. Position the decimal point in the quotient:

As you set up your long division, align the decimal point in the quotient (answer) directly above its position in the dividend as soon as you start dividing.

3. Continue the division process:

Proceed with the division as usual after establishing where the decimal point lies.

Example:

Let’s divide 9.48 by 6 using long division:

Step 1: Set up the problem

Set up the problem with 9.48 as the dividend and 6 as the divisor. Place the decimal point in your answer space directly above the decimal in  9.48 before starting.

Step 2: Begin the division

Divide the first part of the number, 9, by 6, which goes into 9 one time (since 6 x 1 = 6). Write the 1 in the quotient above the last whole number before the decimal.

Step 3: Subtract and bring down the next digit

Subtract 6 from 9, giving a remainder of 3. Next, bring down the next digit, which is 4, from the decimal part, making it 34.

Step 4: Continue the division

Now, divide 34 by 6, which goes approximately 5 times (since 6 x 5 = 30). Write this 5 in the quotient immediately after the decimal point.

Subtract 30 from 34, leaving a remainder of 4. Bring down the next digit, which is 8, making the number 48.

Step 5: Complete the division

Divide 48 by 6, which fits exactly 8 times (6 x 8 = 48). Write this 8 in the quotient next to the 5, making the full quotient 1.58.

Answer:

Conclusion:

Handling the decimal point correctly when you're doing long division is really important to get the right answer. When you make sure the decimal point in your answer is right above the decimal point in the number you're dividing, you're making sure your answer is correct.