Exploring Equivalent Fractions and Decimals

The video tutorial covers the process of converting between fractions and decimals. It begins with an introduction to writing equivalent fractions and decimals, followed by detailed steps to convert terminating decimals into simplified fractions. The tutorial then explains how to convert fractions into decimals, including the use of long division. It also addresses the handling of repeating decimals, providing methods for formatting and understanding them. Throughout, common errors and tips for accuracy are highlighted.

How do you convert a terminating decimal like 0.2 into a simplified fraction?

• Place it over 100 and simplify.

• Place it over 10 and simplify.

• Divide by 10 and simplify.

• Multiply by 100 and simplify.

What common error might occur when converting decimals to fractions?

• Always simplifying the fraction.

• Using an incorrect power of 10 in the denominator.

• Adding extra zeros unnecessarily.

• Ignoring the decimal places.

When converting a fraction like 3/5 to a decimal, what should the denominator be changed to?

• 5

• 1000

• 10

• 100

What does 15/1000 simplify to as a decimal?

• 0.015

• 0.15

• 1.5

• 15

What is the decimal equivalent of 22/1000?

• 2.2

• 22

• 0.022

• 0.22

What is the correct setup for dividing 3 by 16 using long division?

• 16 outside, 3 inside

• 3 outside, 16 inside

• Both can be inside

• Both can be outside

What is the result of dividing 3 by 16?

• 0.1875

• 0.18

• 18.75

• 1.875

How is a repeating decimal indicated in notation?

• With a hashtag (#)

• With a bar over the repeating digits

• With an asterisk (*)

• With a dot (.)

What is the correct way to handle a fraction like 3/22 in long division?

• Add 22 to 3.

• Multiply 3 by 22.

• Divide 3 by 22 directly.

• Subtract 22 from 3.

What does the decimal 0.13636... indicate?

• A terminating decimal

• A non-repeating decimal

• A repeating decimal

• An error in calculation