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7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.)
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Negative Numbers
In this group of tutorials, we'll explore the world of negative numbers. Unlike real life where we perceive anything "negative" as being bad, we'll see that negative numbers are quite useful and central to all mathematical concepts. We'll practice adding, subtracting, multiplying, and dividing negative numbers; learn about absolute value, negative exponents, and exponents with negative bases.
All content in “Negative Numbers”

### Adding and subtracting negative numbers

You should understand that negative numbers represent how far we are "below zero". Now you are ready to add and subtract them! In this tutorial, we will explain, give examples, and give practice adding and subtracting negative numbers. This is a super-important concept for the rest of your mathematical career so, no pressure, learn it as well as you can! Common Core Standards: 7.NS.A.1, 7.NS.A.1b, 7.NS.A.1c, 7.NS.A.1d

### Multiplying and dividing negative numbers

Hopefully you agree that negative numbers aren't so "negative" after all. They're actually very useful and kind fun to play around with! In this section we want to give you a better conceptual understanding of why the products of negative numbers are defined as they are. We also want build on our knowledge and examine multiplying and dividing negative and positive numbers. Common Core Standards: 7.NS.A.2a, 7.NS.A.2b

### Absolute value

Absolute value is absolutely straightforward--it is simply the "distance from zero." If you have a positive number, it is its own absolute value. If you have a negative number, just make it positive to get the absolute value. Along with using number line segments, we'll look at constructing and interpreting absolute value within the context of word problems. As you develop mathematically, this idea will eventually extend to more dimensions so it's super important that you understand this core concept now. Common Core Standards: 7.NS.A.1a, 7.NS.A.1b

### Thinking about the number line

In this tutorial, we'll use what we know about negative numbers, absolute value, and the number line to think just a little bit deeper.

### Exponents with negative bases

If you think about it, exponents is simply repeated multiplication. Knowing that, we can apply what we already know about multiplying negative numbers. Exponents with negative and zero bases are treated differently, as well as power of zero exponents. Order of operations will help us make sense of those circumstances.