6th grade Q1

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How do you divide decimals with 2 decimal places?

Dividing decimals with 2 decimal places follows the same steps as dividing decimals with 1 decimal place.

 

The only difference is that you move the decimal point two places instead of one:

1. Make the divisor a whole number:

  • Move the decimal point in the divisor (the number you’re dividing by) two places to the right to make it a whole number. This is effectively the same as multiplying by 100.

2. Adjust the dividend:

  • You need to do the same with the dividend (the number being divided) to maintain balance. Move its decimal point two places to the right as well.

3. Divide as usual:

  • With both numbers adjusted, proceed to divide using long division. This approach makes the division simpler by removing decimals.

 

 

Example:

Step 1: Make both numbers whole

  • To make the division simpler, eliminate the decimal from the divisor, 0.12. Multiply both the divisor and the dividend by 100 to move their decimal points two places to the right.
image

 

Step 2: Set up the division

  • Now, divide 756 by 12 using long division.

 

Step 3: Perform the long division

 

image

Divide:

Begin by determining how many times 12 fits into 75 (the first two digits of 756). It fits 6 times because

 

Subtract:

. Now bring down the next digit, which is 6, making it 36.

 

Divide again:

12 goes into 36 exactly 3 times.

 

Subtract again:

, and there are no more digits to bring down.

 

Final Answer:

  • The result of dividing 7.56 by 0.12 is 63.

This method changes the problem from dividing by a decimal to dividing by a whole number, making the calculations straightforward and the division process cleaner and easier to manage. Remember, there are videos about long division that explain the procedure in great detail.


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