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Lesson 7: Rounding decimals

# Decimal place value: FAQ

## What are decimals?

Decimals are a way of writing numbers that include parts of a whole. They are written with a decimal point to separate the whole number from the fractional part. For example, $2.5$ is a decimal number that is equivalent to $2\frac{1}{2}$.
Try it yourself with these exercises:

## How do I compare two decimal numbers?

We can compare decimals by starting with the whole number parts. If they are different, the larger whole number makes the larger decimal. If the whole number parts are the same, compare the digits after the decimal point from left to right until you find a difference.
Try it yourself with this exercise:

## How do I order a set of decimal numbers from smallest to largest?

When we compare numbers, we should always start with comparing the largest place value. We can use a place value chart to compare all the numbers.
Ones$.$TenthsHundredthsThousandths
$0$$.$$4$$2$$4$
$0$$.$$3$$4$$3$
$0$$.$$2$$4$$3$
The greatest place value with different digits is the tenths place.
Try it yourself with this exercise:

## What are the different ways to write decimals?

We can write decimals like we write whole numbers, in standard, written, or expanded form.
Standard form is the way we typically write decimals, with the whole number to the left of the decimal point and the fractional part to the right. For example: $6.35$ is in standard form.
Written form means writing the decimal out in words. For the examples above: $6.35$ would be written as "six and thirty-five hundredths."
Expanded form means breaking the decimal down into its individual place values. Using the examples above: $6.35$ would be written as $\left(6×1\right)+\left(3×\frac{1}{10}\right)+\left(5×\frac{1}{100}\right)$.
Try it yourself with these exercises:

## Where are decimals used in the real world?

Decimals are used in many places! For example, they are often used to represent currency (like $\mathrm{}2.50$), measurements (like $5.5$ inches), and percentages (like $0.75$, which is equivalent to $75\mathrm{%}$).

## Want to join the conversation?

• wHiSh Me LuCk On ThE qUiZ
• 'kay
• how does decimals connect with money?
• Decimals are used to represent money values. For example, if you have 5 dollars and 75 cents, you could write that as \$5.75. The decimal separates the dollars from the cents. So we can keep track of the different parts of a dollar when we're working with money. We can use decimals to add, subtract, multiply, and divide money amounts just like we would with any other numbers.
• hi, look at the bright side of decimals. I know their hard Benij, but if you look on the bright side you will be happy you know how to do it.
From,EllaM
• They'e not wrong
• It's cool how we use decimals with money
• Right! Use a trillion bucks and buy yourself a Lamborghini.
• How will we use decimals in our carriers.
• when yu use money!
• How do i use it in life
• Money and time
• Decimals are hard
• Facts
• also at the store
• So I am a bit confuzzled. I have checked multiple articles but all of them are very contradictory to each other. Some say that if the digit to the right of the digit that you are rounding is less than 4, then you round down, but others say that the number stays the same. Somebody, please help me! I've been struggling with rounding.
• So when you round if the number to the right is 5 or greater you round up and if it is 4 or less you round down.

Example for Rounding Up

So say you are rounding 50.39 to the nearest tenth. 9 is greater than 5 so you round up. 3 plus 1 is 4. So, the answer is 50.4.

Example for Rounding Down

So say you have to round 56.72 to the nearest tenth. 2 is less than 5 so you round down. 7-1=6. So our answer would be 56.7

I hope this helps.
(1 vote)
• How are decimals used in the real world.