By the 6th grade, you're starting to become a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.)
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# Arithmetic operations

The most fundamental branch of math is arithmetic operations. It consists of adding, subtracting, multiplying, and dividing numbers. We're willing to bet that doing these operations on whole numbers is a piece of cake, but now we'll mix those numbers up with decimals and fractions. We'll also introduce the idea exponents as they become much more important moving forward. So sharpen that pencil and relax in your chair, we're going for a ride!
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Honestly, once you remember one very important rule, the rest of adding and subtracting decimals is a snap. That rule is to be sure and align your decimals first. In this tutorial, you'll get a chance to practice this with us and become fluent adding and subtracting decimals. Common Core Standard: 6.NS.B.3

## Multiplying decimals

You've already multiplied decimals in the 5th grade. We'll show you some ways to handle slightly more complicated problems. Now you'll become super good at it with a bit more practice! Common Core Standard: 6.NS.B.3

## Dividing whole numbers and decimals

You probably know about division, and even a little about dividing decimals. After this tutorial, you'll be comfortable dividing two digit whole numbers and decimals, whether they are in the divisor or dividend position. Pretty exciting, huh? Let me a hear a "Yes!" Common Core Standards: 6.NS.B.2, 6.NS.B.3

## Dividing whole numbers and fractions

Let's explore how we can think about dividing a fraction by a whole number and a whole number by a fraction. Remember that a whole number is a fraction expressed differently. What do you do when you divide fractions? Multiply by the reciprocal! You got itI Now try.

## Dividing fractions by fractions

We're now ready to get some solid practice dividing fractions by fractions. However, we're not just going to give you practice problems, we're going to explain why we do them this way and where the answer comes from. So let's get going. Common Core Standard: 6.NS.A.1

## Dividing decimals

You have already been exposed to dividing decimals in the 5th grade. In this group of videos we'll tackle those pesky decimals in the hundredths place, both in the divisor and the dividend. We'll make sure that you're a pro at it!

## Exponents

In 3rd grade, you learned that there is an easier way to write "5+5+5". You saw that 5+5+5=3x5. But is there an easier way to write repeated multiplication (like "5x5x5")? Absolutely! That's exactly what exponents are for! Common Core Standard: 6.EE.A.1