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Questions and Answers
What is the purpose of decimal places in decimal numbers?
Decimal places indicate the number of tenths, hundredths, thousandths, etc. of a whole unit.
What is the main difference between a proper fraction and an improper fraction?
A proper fraction has a numerator that is less than the denominator, while an improper fraction has a numerator that is greater than or equal to the denominator.
How do you calculate a 25% increase of a given value?
Multiply the original value by 0.25, then add the result to the original value.
What is the main difference between a 2D shape and a 3D shape?
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What is the primary difference between categorical data and numerical data?
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What is the name of the type of angle that is greater than 90 degrees but less than 180 degrees?
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Study Notes
Fractions
- A fraction is a way to show part of a whole
- Consists of a numerator (top number) and a denominator (bottom number)
- Examples: 1/2, 3/4, 2/3
- Types of fractions:
- Proper fraction: numerator is less than the denominator (e.g. 1/2)
- Improper fraction: numerator is greater than or equal to the denominator (e.g. 3/2)
- Mixed fraction: combination of a whole number and a proper fraction (e.g. 2 1/2)
Decimals
- A decimal is a way to show a fraction using a point (.)
- Examples: 0.5, 0.25, 1.75
- Decimals can be converted to fractions and vice versa
- Decimal places:
- Tenths: 0.1, 0.2, etc.
- Hundredths: 0.01, 0.02, etc.
- Thousandths: 0.001, 0.002, etc.
Percentages
- A percentage is a way to show a fraction as a part of 100
- Examples: 25%, 50%, 75%
- Percentage can be converted to fractions and decimals
- Types of percentages:
- Increase: 25% increase means 25/100 of the original value
- Decrease: 25% decrease means 25/100 of the original value subtracted from the original value
Geometry Shapes
- Types of shapes:
- 2D shapes:
- Square
- Rectangle
- Triangle
- Circle
- 3D shapes:
- Cube
- Rectangular prism
- Sphere
- Cylinder
- 2D shapes:
- Properties of shapes:
- Number of sides
- Number of corners
- Types of angles (acute, obtuse, right, straight)
Data Analysis
- Types of data:
- Categorical data (e.g. favorite color)
- Numerical data (e.g. scores, heights)
- Ways to display data:
- Bar graphs
- Picture graphs
- Line graphs
- Pie charts
- Interpreting data:
- Identifying the mode (most frequent value)
- Identifying the median (middle value)
- Identifying the range (difference between the largest and smallest values)
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Description
Test your understanding of fundamental math concepts, including fractions, decimals, percentages, geometry shapes, and data analysis. Learn to identify and work with different types of fractions, decimals, and percentages, and understand the properties of various shapes and data interpretation.
