Understanding Division with Decimals

This video tutorial provides a refresher on long division, specifically focusing on dividing numbers with decimals. The instructor demonstrates how to adjust the divisor to a whole number by moving the decimal point and then performs the division step-by-step. The example used is 54375 divided by 1.25, which is adjusted to 54375 divided by 125. The process includes checking how many times the divisor fits into parts of the dividend, performing subtraction, and bringing down the next digit until the division is complete. The final result of the division is 4.35.

What is the first step in solving a long division problem with decimals?

• Multiply both numbers by 10

• Convert the divisor to a whole number

• Add zeros to the dividend

• Subtract the divisor from the dividend

In the problem 54375 divided by 1.25, what is the divisor?

• 54375

• 125

• 1.25

• 543.75

How do you adjust the divisor 1.25 to make it a whole number?

• Subtract 0.25 from it

• Multiply it by 100

• Move the decimal point two places to the right

• Add 1 to it

After adjusting the divisor, what is the new division problem?

• 1.25 into 543.75

• 1.25 into 54375

• 125 into 543.75

• 125 into 54375

What is the significance of moving the decimal point in both the divisor and dividend?

• It makes the dividend larger

• It ensures the divisor is a whole number

• It simplifies the division process

• It changes the value of the dividend

What is the result of 4 multiplied by 125?

• 625

• 437

• 543

• 500

What do you do after subtracting 500 from 543 in the division process?

• Divide the remainder by 125

• Multiply the remainder by 10

• Add 500 to the remainder

• Bring down the next digit

How many times does 125 go into 437?

• 5 times

• 4 times

• 3 times

• 2 times

What is the result of 3 multiplied by 125?

• 625

• 500

• 437

• 375

What is the remainder after subtracting 375 from 437?

• 0

• 125

• 262

• 62