# Place value and decimals

Contents

To really understand how decimal numbers work, we need a deep understanding of place value. The big picture goal of these tutorials is to connect decimal place value to the idea of multiplying by 10.

Learn the basics of decimal place value.

Learn how to write a decimal like 3.14 in expanded form (3 + 0.1 + 0.04).

Learn how to write decimals like 3.14 in words as "three and fourteen hundredths".

Learn to tell which of two decimal numbers is bigger by thinking about place value.

Learn how to round decimal numbers to specific place values. For example, round 3.14159 to the nearest hundredth as 3.14.

Learn how to, for example, multiply 560 by 100 to get 56,000.

Learn how to, for example, multiply 34.5 by 100 to get 3450.

Learn how exponents are a simpler way to write something like 10x10x10.

Learn how to shift the decimal point when you multiply and divide by powers of ten.

For a number like 34.135, learn how to compare the 3 in the tens place to the 3 in the hundredths place.

Let's tackle some more challenging problems that stretch our understanding of decimal place value. These problems involve regrouping place values in interesting ways.