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Essential Math Terms: Decimals, Fractions, and More Explained

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This guide covers essential math concepts, including operations with decimals, converting fractions to decimals, and the Pythagorean theorem. Learn how to add and subtract decimals by lining them up, multiply decimals by counting decimal places, and convert decimals to percentages by multiplying by 100. Additionally, explore scientific notation, rules for dividing integers, and calculating the scale factor for area and perimeter changes. This comprehensive resource simplifies complex topics and provides clear examples for better understanding.

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Essential Math Terms: Decimals, Fractions, and More Explained

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  1. 15 Math Terms By. Bryan Doss

  2. Decimals • When you Add or Subtract a decimal you line up the decimals. • When you multiply decimals you count the places in the problem.

  3. Fractions to Decimals • To change a decimal to a percent you multiply by 100. • Then move it two times to the right.

  4. Ordering Fractions • Divide to change a decimal(only two decimal places) • Put on number line.

  5. Scientific Notation • Positive Exponent: 3.2 x 10³= 3,200 move the decimal towards the positive end of the number line. (whole numbers) • Negative Exponent: 3.2 x 10³= 0.oo32 move decimal to negative side of the number line.

  6. Division of Integers • If the signs are the same the answer is positive. If the signs are different the answer in negative. Even number of negative-signs the answer is positive. Odd number of negative-signs the answer is negative.

  7. Multiply & Dividing one-step equations • Find the variables. • Do the opposite operation of the exact number with the variables. • Solve - follow integer rules.

  8. Percent Of a Number • To find a percent of a number you multiply the original number times the decimal for that percent. • Example: If you need to find 40% of 68, you would 68 x .4 Make sure you count your decimal places when you multiply.

  9. Scale Factor • When the shape is being increased or decreased in size, Each side is being multiplied by a scale factor. • If a scale factor is greater than 1 than the shapes gets bigger.

  10. Pythagorean Theorem • Looking for C use:a² + b² =c² • If you know C use:c²-a²=b² • You must have a right triangle A & B are the legs of a right triangle. • C is always across from the L (angle).

  11. Dimensional Change • Org. Perimeter time S.F.= new perimeter. • Org. Area times S.F.² = new area.

  12. Probability • Theoretical Probability- Is what should happen in a given event. • Independent Event- Is an event where the outcome of one event does not effect the outcome of others.

  13. Box & Whisker

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