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## 5th grade

### Course: 5th grade > Unit 1

Lesson 7: Rounding decimals- Rounding decimals on the number line
- Round decimals using a number line
- Worked example: Rounding decimals to nearest tenth
- Round decimals
- Understand decimal rounding
- Rounding decimals word problems
- Round decimals word problems
- Decimal place value: FAQ

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# Decimal place value: FAQ

Frequently asked questions about decimal place value.

## 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, point, 5 is a decimal number that is equivalent to 2, start fraction, 1, divided by, 2, end fraction.

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 | point | Tenths | Hundredths | Thousandths |
---|---|---|---|---|

0 | point | start color #0c7f99, 4, end color #0c7f99 | 2 | 4 |

0 | point | start color #0c7f99, 3, end color #0c7f99 | 4 | 3 |

0 | point | start color #0c7f99, 2, end color #0c7f99 | 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, point, 35 is in standard form.

Written form means writing the decimal out in words. For the examples above: 6, point, 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, point, 35 would be written as left parenthesis, 6, times, 1, right parenthesis, plus, left parenthesis, 3, times, start fraction, 1, divided by, 10, end fraction, right parenthesis, plus, left parenthesis, 5, times, start fraction, 1, divided by, 100, end fraction, right parenthesis.

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 dollar sign, 2, point, 50), measurements (like 5, point, 5 inches), and percentages (like 0, point, 75, which is equivalent to 75, percent).

## Want to join the conversation?

- Where are decimals used in the real world?(26 votes)
- How do decimals affect people.(10 votes)
- decimals affect many things such as 1.5 liters ,or you have a height of a decimal too, such as 1.95 meters(2 votes)

- Dude decmals are so easy...(9 votes)
- yeah really, then show us. we'll get a challenging test of decimals and then give it to you to see how actually it is easy(5 votes)

- It's cool how we use decimals with money(11 votes)
- Math is either real easy or real hard... this was pretty easy(11 votes)
- 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(10 votes)- They'e not wrong(0 votes)

- How will we use decimals in our carriers.(7 votes)
- when yu use money!(4 votes)

- so is decimals and fractions like the same because if you have 0.10 of some candy and you give half to ur friend it would would be 1/2 fOr fractions and it would he 0.5 for decimals so wont they be like the same(8 votes)
- how does decimals connect with money?(4 votes)
- 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.(9 votes)

- is it just me or everyone has been doing decimals since they were a little kid because let's say I have a chocalate bar and I have to split it with my friend then I would have 0.5 and my friend would have 0.5 as well.(8 votes)