Understanding Fractions and Decimals

This video tutorial explains how to order rational numbers by converting them into decimals. It covers the definition of rational numbers, methods to convert fractions and percentages into decimals, and how to estimate and order square roots. The video concludes with a practice exercise to reinforce the concepts learned.

What is a rational number?

• A number that cannot be expressed as a fraction

• A number that can be expressed as a fraction with integers

• A number that is always a whole number

• A number that is always a decimal

How do you convert a percentage to a decimal?

• Add a decimal point and move it two places to the right

• Change the percent sign to a decimal point and move it two places to the left

• Multiply by 100

• Remove the percent sign and divide by 10

What is the decimal equivalent of 13%?

• 13.0

• 0.13

• 0.013

• 1.3

What does the fraction bar in a fraction represent?

• Subtraction

• Addition

• Multiplication

• Division

What is the decimal form of three-fourths?

• 0.45

• 0.57

• 0.75

• 0.34

How can you estimate the square root of a non-perfect square number?

• By dividing the number by 2

• By multiplying the number by itself

• By finding the two perfect squares it falls between

• By adding 10 to the number

Between which two numbers does the square root of 41 fall?

• 5 and 6

• 6 and 7

• 7 and 8

• 8 and 9

What is the decimal equivalent of 45/4?

• 9.25

• 12.25

• 10.25

• 11.25

What is the repeating decimal form of 2/9 rounded to three decimal places?

• 0.222

• 0.333

• 0.444

• 0.555

If you were to order numbers from greatest to least, which number would come first: 45/4 or 2/9?

• Cannot be determined

• 2/9

• 45/4

• They are equal