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What Are Negative Numbers?

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Comparing Negative Numbers

Number Line

Operations

Do you need to add, subtract, multiply, or divide negative numbers?

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Add
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Subtract
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Multiply
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Divide 
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Order of Operations
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Exponents and Roots

Do you need to square a negative number?

Or simplify a negative exponent?

Or maybe find the square root or the cube root of a negative?

Check out the pages linked below!


Negative
Base
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Negative
Exponent
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Square
Root
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Other
Roots
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Functions

Do you need to find the absolute value of a negative number?

Or find the log, natural log, sine, cosine, or tangent of a negative?

Check out the pages linked below!


Absolute Value
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Logarithm

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Natural
Logarithm
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Sine
Cosine
Tangent

Reciprocals of Negative Numbers

The reciprocal of a negative number is found the same way that positive reciprocals are found. 

Rounding Negative Numbers

Negative Number Classification

Are negative numbers natural numbers? 

  • No, because all natural numbers are positive.

Are negative numbers whole numbers?

  • No, because all whole numbers are positive or zero.

Are negative numbers integers?

  • Yes and no. Some negative numbers (like -5, -13, and -2) are integers. However, some negative numbers (like -27.3, \(-\pi\), and \(-\frac{3}{4}\)) are not integers. 

Are negative numbers real numbers?

  • Yes, all negative numbers are real numbers

Are negative numbers rational numbers?

  • Yes and no. Some negative numbers (like -4, \(-\frac{1}{2}\), and -28.5) are rational numbers. However, some negative numbers (like \(-2\pi\), -e, and \(-\sqrt{7}\)) are not rational. 

Are negative numbers irrational?

  • Yes and no. Some negative numbers (like \(-2\pi\), -e, and \(-\sqrt{7}\) are irrational numbers. However, some negative numbers (like -4, \(-\frac{1}{2}\), and -28.5\)) are not irrational. 

Can negative numbers be prime?

  • Sort of. Prime numbers, the way they are usually defined in middle school and high school, are only positive. 
  • However, in algebraic ring theory, prime numbers are defined in a way that makes two numbers like 7 and -7 essentially the same prime number.

Can negative numbers be even?

  • Yes, negative numbers like -2, -4, -6,... are even numbers. 

Can negative numbers be odd?

  • Yes, negative numbers like -1, -3, -5,... are odd numbers. 

Resources

Free Printable Worksheets

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Free Online Practice Problems

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