Arithmetic operations

This course is a part of 6th grade, a 8-course Topic series from Khan Academy.

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!

This course contains 9 segments:

Adding decimals

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 decimals. We'll tackle subtracting decimals in the next tutorial.

Subtracting decimals

Just like with adding decimals, the key to subtracting decimals is aligning the decimal points. Let's practice!

Adding and subtracting decimals word problems

In this tutorial, we practice solving word problems by adding and subtracting decimal numbers.

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

Learn long division on whole numbers. Solve problems like 9815 divided by 65.

Dividing decimals

Learn long division with decimals. Solve problems like 30.24 divided by 0.42.

Dividing fractions by fractions

Learn how to divide fractions by other fractions.

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

Order of operations

In this tutorial, we learn the "order of operations" to evaluate more complex expressions involving exponents, parentheses, multiplication and division, and addition and subtraction.