3 Decimals

Decimals or, more formally, decimal fractions are fractions whose denominators are powers of 10. They are valuable because they can be written and manipulated in our base 10 place value system just like ordinary whole numbers. Instead of dealing with fractions we can now deal with whole numbers and decimals points. Decimals are used instead of ordinary fractions in everything from money to the price of stocks, from the number of gallons of gas we put in our tanks to measurement in the metric system.

3.1 The Decimals

- Read and write decimal numbers correctly.
- Understand the meaning of place value and how place value is necessary for naming decimal numbers.
- Use mental math to multiply or divide by powers of 10.
- Compare any two decimal numbers with >, <, or =.
- Round off a given number to a given decimal place.

  • Decimals

  • Powers of 10

  • Ordering Decimals

  • Rounding Decimals

3.2 Adding & Subtracting Decimals

- Add decimal numbers.
- Subtract decimal numbers.

  • Adding Decimals

  • Subtracting Decimals

3.3 Multiplying & Dividing Decimals

- Multiply any two decimal numbers.
- Divide any two decimal numbers.
- Insert zeros for correct decimal placement when determining a product or quotient.

  • Multiplying Decimals

  • Dividing Decimals

3.4 Converting Fractions to Decimals

- Demonstrate process for converting between fractions and decimals.

  • Converting Fractions and Decimals

3.5 Additional Assignments

- Apply order of operations to problems involving decimals.
- Calculate applications problems involving operations on decimal numbers.

  • Order of Operations

  • Problem Solving with Decimals

  • Volume & Surface Area -- Decimals

  • Scientific Notation

  • Perimeter & Area -- Decimals

  • Mean -- Decimals

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Topics

1 Whole Numbers
2 Fractions
3 Decimals
4 Ratio & Proportion
5 Tables & Graphs
6 The Real Numbers
7 Solving Linear Equations
8 Graphing Linear Equations
9 Systems of Equations
10 Geometry
11 Polynomials
12 Factoring
13 Rational Expressions & Equations
14 Exponents & Radicals
15 Quadratic Equations
16 Introduction to Functions
19 Exponential and Logarithmic Functions