Converting Rational Numbers to Decimals

The video tutorial explains how to convert the fraction 8/3 into a decimal by treating it as a division problem. It walks through the long division process, identifies a repeating pattern in the results, and demonstrates how to round the decimal to the nearest hundredth. The tutorial also emphasizes the importance of considering the negative sign in the final answer, resulting in -2.67.

What is the first step in converting a rational number to a decimal?

• Subtract the denominator from the numerator

• Multiply the numerator and denominator by 10

• Add a decimal point to the numerator

• Treat it as a division problem

How should you handle a negative sign when converting a fraction to a decimal?

• Add it to the denominator

• Ignore it completely

• Add it to the numerator

• Solve the problem without it first, then add it back

What should you do with the decimal point in a long division problem?

• Ignore it

• Place it below the division line

• Move it to the right

• Place it above the division line

How many groups of three can fit into eight?

• Four

• One

• Two

• Three

What repeating pattern is observed in the long division of 20/3?

• 2.333

• 2.777

• 2.555

• 2.666

What is the result of 20 divided by 3?

• 6

• 8

• 7

• 5

When rounding to the nearest hundredth, what should you do if the digit to the right is 5 or above?

• Keep it the same

• Ignore it

• Round down

• Round up

What is the final rounded decimal value of 8/3?

• -2.66

• -2.67

• -2.68

• -2.69

What is the correct place value to round to in this problem?

• Whole number

• Tenth

• Thousandth

• Hundredth

What is the quotient of 8 divided by 3 before rounding?

• 2.55

• 2.33

• 2.66

• 2.77