Repeating Decimals
Repeating Decimals is a key Grade 7 math skill in Saxon Math, Course 2. Some divisions produce repeating decimals, where one or more digits, called the repetend, repeat in a pattern forever. One way to indicate that a decimal number has repeating digit Repeating decimals are like a song stuck on repeat.
Key Concepts
New Concept Some divisions produce repeating decimals, where one or more digits, called the repetend, repeat in a pattern forever.
One way to indicate that a decimal number has repeating digits is to write the number with a bar over the repetend where it first appears to the right of the decimal point. For example, $$ 4.2333... = 4.2\overline{3} \quad 0.52727... = 0.5\overline{27} $$ What’s next This card introduces the core idea. Soon, we'll dive into worked examples on writing, rounding, and comparing these special decimals.
Common Questions
What is Repeating Decimals in Grade 7 math?
Some divisions produce repeating decimals, where one or more digits, called the repetend, repeat in a pattern forever.
How is Repeating Decimals used in math?
Repeating decimals are like a song stuck on repeat. They're decimals that go on forever, with a special pattern of digits repeating over and over.
What is a common mistake when learning Repeating Decimals?
Common mistake tip: Be careful to place the bar only over the digits that repeat.
Why do Grade 7 students learn Repeating Decimals?
Repeating Decimals is part of the Saxon Math Course 2 curriculum for Grade 7, providing foundational skills for algebra and higher-level mathematics.
Can you show an example of a Repeating Decimals problem?
Convert the fraction into a decimal and write it using the correct notation for a repeating decimal. Solution: To convert a fraction to a decimal, you divide the numerator by the denominator.
What grade level covers Repeating Decimals?
Repeating Decimals is taught in Grade 7 as part of Saxon Math, Course 2. It builds procedural fluency and prepares students for pre-algebra and geometry.