Converting Between Fractions and Decimals

This lesson covers rational numbers, including fractions and decimals. It explains how to convert fractions to decimals and vice versa, using examples to illustrate terminating and repeating decimals. The lesson also covers converting decimals to fractions and ordering numbers from least to greatest.

What is a rational number?

• A number that can be written as a fraction

• A number that is always negative

• A number that cannot be written as a fraction

• A number that is always positive

What is a terminating decimal?

• A decimal that cannot be converted to a fraction

• A decimal that ends abruptly

• A decimal that repeats indefinitely

• A decimal that is always positive

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

• Multiply the numerator by the denominator

• Add the numerator and the denominator

• Change it into an improper fraction

• Divide the numerator by the denominator

How do you convert 5/11 to a decimal?

• Divide 11 by 5

• Multiply 5 by 11

• Add 5 and 11

• Divide 5 by 11

What is the bar notation used for?

• Indicating a terminating decimal

• Indicating a repeating decimal

• Indicating a mixed number

• Indicating an improper fraction

How do you convert -0.7 to a fraction?

• Write it as -7/1

• Write it as -70/100

• Write it as -7/100

• Write it as -7/10

What is the correct way to write 10.25 as a mixed number?

• 10 and 25/100

• 10 and 5/20

• 10 and 1/4

• 10 and 2/5

What is the first step in ordering numbers from least to greatest?

• Convert all numbers to fractions

• Convert all numbers to decimals

• Add all the numbers

• Multiply all the numbers

Which of the following is the smallest number?

• -3.5

• 1.3

• -2.8

• -0.5

Which of the following is a rational number?

• √2

• e

• π

• 0.75