- Topics At a Glance
- Different Types of Numbers
- Natural Numbers
- Whole Numbers
- Integers and Negative Numbers
- Integers and Absolute Value
- Rational Numbers
- Irrational Numbers
- Real Numbers and Imaginary Numbers
- Different Ways to Represent Numbers
- Fractions
- Equivalent Fractions
- Mixed Numbers
- Reducing Fractions
- Comparing Fractions
- Least Common Denominator
- Addition and Subtraction of Fractions
- Multiplication of Fractions
- Equivalent Fractions and Multiplication by 1
- Multiplication by Clever Form of 1
- Multiplicative Inverses
- Division of Fractions
- Multiplication and Division with Mixed Numbers
- Decimals
- Converting Fractions into Decimals
- Converting Decimals into Fractions
- Comparing Decimals
- Adding and Subtracting Decimals
- Multiplication and Division by Powers of 10
- Multiplying Decimals
- Dividing Decimals
- Infinite Decimals
- Percents
- Portion of the Whole
- Things to Do with Real Numbers
- Addition and Subtraction of Real Numbers
- Properties of Addition
- Subtraction
- Multiplication
- Division
- Long Division Remainder
- Exponents and Powers - Whole Numbers
- Properties of Exponents
- Prime Factorization
- Order of Operations
- Even and Odd Numbers
- Infinity
- Sequences
- Sqrt(2) is Irrational
- Counting Rational Numbers
- Counting Real Numbers?
- Counting Irrational Numbers
- In the Real World
- Decimals in Use
- How to Solve a Math Problem
- I Like Abstract Things: Summary
Introduction to Comparing Decimals:
A couple of equivalent fractions for 4/10 are 40/100 and 400/1000. Converting these into decimals, we see that 0.4 is equivalent to 0.40 and 0.400. To summarize: adding extra zeros to the end of a decimal does not change its value. 08 = 080 = 0800 = etc. It just makes it longer and more annoyed. Trust us - you do not want to taunt or provoke a decimal.
When comparing decimal numbers to see which is bigger, we first look at the numbers before the decimal point. If one is greater than the other, we're done. Stick a fork in us.
Comparing Decimals Practice:
Which number is greater: 43.56 or 40.78 |
Which number is bigger: 2.34799 or 2.34891 |
Fill in the blank with < , >, or =
34.56 __ 33.99
Fill in the blank with < , >, or =
0.456 __ 0.456000
Fill in the blank with < , >, or =
0.67891 __ 0.67819
Fill in the blank with < , >, or =
0.2 __ 0.3
Fill in the blank with < , >, or =
0.55565 __ 0.5555
Fill in the blank with < , >, or =
0.888 __ 0.9
