Common Core: 5th Grade Math

Explore the foundational concepts of mathematics through engaging activities and problem-solving strategies designed for 5th graders.

Basic Concepts

Place Value and Decimals

Understanding Large and Small Numbers

Numbers can be huge, like the population of a country, or tiny, like the weight of a paper clip! Place value helps you know how much each digit in a number is worth, whether it's in the billions or in the thousandths.

Breaking Down Numbers

Each digit in a number has a special place and value. In the number 3,482, each digit means something different:

  • The '3' means 3 thousands
  • The '4' means 4 hundreds
  • The '8' means 8 tens
  • The '2' means 2 ones

With decimals, you go smaller than one! In 45.67:

  • The '6' means 6 tenths
  • The '7' means 7 hundredths

Why It Matters

Place value is what lets you read, write, and compare big and small numbers. It's also the secret behind adding and subtracting decimals!

Real-World Fun

  • Reading the price of items at a store, where cents are decimals.
  • Understanding distances, like 5.3 meters.

Examples

  • The number 4,506 means 4 thousands, 5 hundreds, zero tens, and 6 ones.

  • In 3.25, the '2' is in the tenths place and the '5' is in the hundredths place.

In a Nutshell

Place value helps you understand the value of each digit in numbers, including decimals.

Key Terms

Decimal
A number that includes a decimal point to show values less than one.
Place Value
The value given to a digit by its position in a number.