QUICK LINKS


Introduction

QUICK LINKS


Introduction

INTRO
β€”
A decimal is a number that has a whole part and decimal part that are separated by a decimal point.
Each digit in a decimal number has a place value, which tells us how big or small a digit in a decimal number is based on its distance and direction from the decimal point.
As we move from the place value gets divided by .
In order to better understand decimals and place values, let’s imagine that we have a cash register that only has bills and coins that are powers of .
Let’s say we needed to give a customer of change using the fewest bills and coins possible. How many of each bill and coin would we need to give them?
Cash Register With Clamps
hundredStacks
tenStacks
oneStacks
dimes
pennies
πŸ™ˆ Not quite. Make sure you go from left to right, starting with the hundreds bills and ending with pennies. Try again!
That’s right! πŸŽ‰





ten

ones

dimes

pennies
twelve dollars
and
eighty-five cents
In decimal terms...





ten

ones

tenths

hundredths
twelve
and
eighty-five hundredths
Check out our
Calculator
or explore our
Lesson
and
Practice
sections to learn more about decimals and test your understanding.

You can also use the Quick Links menu on the left to jump to a section of your choice.

You can also use the Quick Links dropdown above to jump to a section of your choice.

CALCULATOR
β€”

Decimal Place Values Calculator

KEY STEPS
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How to Read and Understand Decimals

Step 1. Identify the value of the whole part.

This is like the number of dollars.

Step 2. Add an "and" to represent the decimal point.

Step 3. Identify the value of the decimal part.

This is like the number of cents.
LESSON
β€” Reading and Understanding Decimals

Reading and Understanding Decimals

When we read decimals, we need to use our understanding of place values to identify the value of the whole part and the decimal part, which are separated by a decimal point.
millions
hundred-thousands
ten-thousands
thousands
hundreds
tens
ones
tenths
hundredths
thousandths
ten-thousandths
hundred-thousandths
millionths
decimal point
Think of the decimal point as separating dollar bills from coins. Just like we would read as dollars and cents, we split up the whole part and the decimal part of a number:
Whole PartDecimal PointDecimal Part
Number
Numerical Expansion
Expansion hundred tens ones tenths hundredths thousandths
In Wordsone hundred fifty-sixandtwo hundred thirty-eight thousandths
Notice that in words, we read the decimal part as the number with the farthest decimal place value name, in this case ⬆️, thousandths.
Now that we know our basics, let’s check out some examples of how to understand decimals!

EXAMPLE 1

Let's start by understanding this decimal:

Step 1. Identify the value of the whole part.

This is like the number of dollars.
tens
ones
tenths
hundredths
decimal point
The whole part is:



tens

ones
fifty-six

EXAMPLE 2

Nice work! Now let's try understanding this decimal:

Step 1. Identify the value of the whole part.

This is like the number of dollars.
ones
tenths
hundredths
thousandths
ten-thousandths
decimal point
The whole part is:


one
one
Awesome! If you’d like to practice additional problems with decimals, expand the
Practice
below before closing out this lesson! ⚑
PRACTICE
β€” Reading and Understanding Decimals

Practice: Reading and Understanding Decimals

Question 1 of 10: Interpret

Step 1. Identify the value of the whole part.

This is like the number of dollars.
decimal point
Exactly! Now, fill out the decimal expansion:

Step 2. Add an "and" to represent the decimal point.

four hundred twelve

Step 3. Identify the value of the decimal part.

This is like the number of cents.
decimal point
Exactly! Now, fill out the decimal expansion:
Great work! Our answer is four hundred twelve and fifteen hundredths.

CONCLUSION
β€”
Incredible job, look at you go! Thanks for checking out this lesson β˜ΊοΈπŸ™. Where to next?
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