Rational Numbers, Non-Terminating Decimals, and Percents
Rational Numbers, Non-Terminating Decimals, and Percents is a Grade 7-8 math skill that connects three forms of representing parts of a whole. Students convert between fractions, non-terminating repeating decimals, and percents, developing fluency across representations.
Key Concepts
New Concept We'll explore how rational numbers create non terminating decimals and percents, learning why fractions are often the most precise form for calculations. What’s next Next, you’ll tackle worked examples on converting, comparing, and calculating with these numbers, plus simplifying expressions with negative exponents.
Common Questions
What is a non-terminating decimal?
A non-terminating decimal is a decimal that does not end. If it repeats a digit pattern, it is rational (like 0.333...). If it never repeats, it is irrational (like pi).
How do you convert a repeating decimal to a percent?
First convert the repeating decimal to a fraction, then multiply by 100 to get the percent. For example, 0.333... = 1/3 = 33.33...%.
Are all repeating decimals rational numbers?
Yes, all repeating decimals are rational numbers because they can be expressed as fractions.
How do you convert 1/3 to a decimal and percent?
1/3 = 0.333... (repeating), and as a percent it is approximately 33.33%.
What grade covers rational numbers, repeating decimals, and percents?
This conversion skill is covered in Grade 7 and Grade 8 math.