Dividing Decimals and Long Division

The video tutorial covers long division involving decimals, demonstrating how to adjust decimal points to simplify division problems. Three example problems are solved, each illustrating the process of moving decimal points to convert the divisor into a whole number. The tutorial concludes with an explanation of why moving decimal points in both the divisor and dividend results in an equivalent division problem.

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

• Ignore the decimal points

• Divide the numbers as they are

• Multiply both numbers by 10

• Move the decimal point in the divisor to the right

Why is it important to move the decimal point in both the divisor and dividend?

• To avoid using decimals

• To make the numbers smaller

• To ensure the division process works correctly

• To make the numbers larger

In the first problem, what is the result of dividing 31.95103 by 4.5?

• 8.0

• 7.5

• 7.1

• 6.9

What is the first step in setting up the second problem?

• Move the decimal point in 0.34 to the right

• Divide 782 by 34

• Subtract 34 from 782

• Multiply 782 by 10

How many times does 34 go into 78 in the second problem?

• 4 times

• 3 times

• 2 times

• 1 time

What is the final answer for the second problem, 782 divided by 0.34?

• 2,600

• 2,300

• 2,400

• 2,500

In the third problem, what is the first step after setting up the division?

• Move the decimal point in 0.17 to the right

• Divide 0.17 by 8

• Multiply 0.17 by 10

• Subtract 0.008 from 0.17

What is the result of dividing 0.17 by 0.008 in the third problem?

• 22.25

• 23.25

• 21.25

• 20.25

Why does moving the decimal point in both numbers not change the result of the division?

• It changes the numbers to whole numbers

• It multiplies both numbers by the same factor

• It makes the division easier

• It avoids using decimals