Powered by 10 with Decimals

Decimal Numbers and Powers of Ten

Hello students!

We will be learning about powers of tens and decimal numbers.

Throughout the slides, you will see and understand decimal numbers and powers of ten. At the end, there will be questions that you will answer based on what you have learned

When you are finished, you will be able to understand decimal numbers and powers of ten

What will you be learning?

Hello! I am Joyce, a 5th grade student. I am 9 years old, and I am excited and happy to be able to teach you guys about decimal numbers and powers of ten.

In this lesson, you will look through slides and understand what it is teaching you about decimals/powers of ten.

After looking at the slides (you can also take notes of them so that you can go back to make sure you understand it or to understand a problem,) you will answer questions based on what you have learned.

At the end, I hope that you have learned how to use both powers of ten and decimal numbers, how to understand them, and how to read/explain them.

I will be making more of quizizz tests/slides for you to understand.

You can continue to the next slide to start learning! ->

What is the value of a decimal? And how do you know?

• Depending on where the decimal point is, will tell you the value of the number

• The numbers to the left of the decimal point are whole numbers, they are counted by ones, tens, hundreds, thousands, etc.

• The numbers to the right of the decimal point are decimal numbers/fractions, they are counted by tenths, hundredths, thousandths, ten thousandths, etc.

• When there are digits on the right side of the decimal point, you add the letters "ths" to show that you are now in decimals.

• Ex. 2.76 is pronounced two and seventy-six hundredths

Powers of ten

• A power of ten has an exponent and a base number

• A power of ten (like the one shown) is read "ten to the 3rd power"

• Remember, your exponent tells you how many places you will move

• You move you decimal point to the right if you are multiplying, and move your decimal point to left when dividing

• A power of ten is multiplied by itself ___ times depending on the exponent (Ex. 10³= 10 x 10 x 10, not 10 + 10 +10

• The exponent tells you how many zeros are in your number (10³= 1000)

Operations with Decimals/ Powers of Tens

• We already know the 4 types of operations.

Lets look into adding and subtracting decimals

EQ- How do we add and subtract decimals?

Really all you need to do is line up the decimal points. So when you line up the decimal point, you will be able to add/subtract normally.

Remember, if you need to regroup, then do so

Ex. 2.12 + 1.3 Ask yourself, are the decimal points aligned? If there is an empty spot, you can add a zero.

2.12

+1.30

-----

3.42

Open Ended

10 = 10 = 10¹

100 = 10 x 10 = 10²

1000 = 10 x 10 x 10 = 10³

10000 = 10 x 10 x 10 x 10 = 10⁴

100000 = 10 x 10 x 10 x 10 x 10 = 10^5

Hmm...

I see that every exponent equals to the same amount of zeros that it is equal to. Like 100 has 2 zeros, and in exponent form, it has an exponent of 2. This is the same pattern with all the powers of ten!

I also see that the exponent also tells how many times you multiply 10 by. Like in 10 x 10, your exponent was 2, and you multiplied 10 2 times. This pattern also continues!

These are some things that can make it easier to understand what the exponent does!

Multiple Choice

What is a decimal number?

• A number that is less than 1

• A number that has a decimal point and numbers

• A number that has no value

• None of the above

• A prime number

Multiple Choice

What does a power of ten have?

• A number that is the same as 1/2

• Nothing, it is just a normal number

• A ten with and exponent on top of it

• All of the above

• A composite number

Multiple Choice

What is 3.34 x 10²

• 3.34

• 3.340

• 334

• 3440

• None of the above

Poll

Do you like to use decimals/ powers of tens? (This is an opinion question)

• Yes, I am pretty good at it

• No, I don't really like it, it seems hard

• What are decimals and powers of tens?

• I like or don't like them at all for no reason

• I dont really have any opinion on it

Multiple Select

Choose the true answers that equal 10³

• 10 x 10 x 10

• 30

• 1000

• 100

• 10 x 10 x 10 x 10

Poll

Are you big brain?

• No, I'm smol brain

• Yes! I am galaxy brain!

• I am meh brain

• I don.t have a brain

• This question is dumb

Multiple Choice

Amy and Ben went to go milk the cows in their farm. Ben got 1/2 gallon of milk from the cow. While Amy got 5/7 gallons milk of the cow.

How many gallons of milk did they collect in total after getting milk from the cow?

• In total, Ben and Amy got 6/8 of a gallon of milk from the cow

• In total, Ben and Amy got 1 whole gallon of milk from the cow

• In total, Ben and Amy got 17/14 of a gallon of milk from the cow

• In total, Ben and Amy got 2/3 of a gallon of milk from the cow

Open Ended

Tell me a way you would solve 5122.64 - (2.13 x 10²⁾

Multiple Choice

If you know that 10³ is equal to 10 x 10 x 10 and not 10 + 10 +10. So what would be correct for 2⁴?

• 2 x 2 x 2 x 2

• 2 x 2 + 2 x 2

• 4 x 2

• 4 -2

• All of the above

Multiple Choice

You must multiply 10² by ___ to give you 2000

• 91

• 21

• 52

• 20

• nothing because 100 equals to 1

Multiple Select

The exponent tells you...

• How many places to move

• How many times your base number will be multiplied by itself

• Nothing

• How many times your base number will be added

• The answer to the equation

More slides and problems coming soon!

Did you answer and read all the questions?

Good!

Well I will be creating more slides and problems to have you guys see and understand more examples on powers of ten and decimal numbers.

Thank you! : )