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Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.)
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Place value and decimals
Here begins our journey towards a thorough understanding of place value and decimals! Too often, students allow themselves to be intimated by decimals and fail to see that they are simply expressing a difference in the powers of ten. No worries! Just follow along with us. These tutorials and videos will lay the groundwork for later understanding of more complicated concepts. In addition to decimals, place value, and powers of 10, we'll look at regrouping, comparing and rounding decimals too.
All content in “Place value and decimals”

### Decimals and place value: conceptualizing

Those crazy decimals. Do they confuse you? We're here to make sense of them and really get you to think about what the different digits represent and how they relate to each other. Common Core Standards: 5.NBT.A.1, 5.NBT.A.3, 5.NBT.A.3a

### Regrouping decimal numbers

We're stretching ourselves and getting at the very core of decimal understanding: place value and regrouping! Let's explore how we can regroup and redistribute value among the various place values in a decimal number. It's important you take your time and really soak this in. Listen to the videos several times if you need to! Common Core Standard: 5.NBT.A.1

### Comparing decimals

Let's test our understanding of decimals by comparing them to one another! The key in this tutorial is to develop a process of comparing decimals that involves looking at one place value at a time...finding the smallest (or biggest)...and then moving on to the next place value. In other words, don't try to look at the whole decimal at once. Common Core Standard: 5.NBT.A.3b

### Rounding decimals

One robot hamster rabbit weighs 1.51 kg while another weights 1.49 kg. Is this a big difference or a little one? Say you want a robot hamster that roughly weighs 1.5kg. Will either do? Let's get some practice rounding with decimals! Common Core Standard: 5.NBT.A.4

### Multiplication by powers of 10

This tutorial will be your first exposure to exponents which we will build on in later grades. In particular, we're going to think about what happens when you multiply by 10 multiple times (and think about how the number of zeroes relates to the number of times we multiply by 10). Later on, we'll do the same thing with other numbers. The key here is to help you see how numbers, exponents, and decimals create patterns when multiplied or divided. Common Core Standard: 5.NBT.A.2