Division by 10, 100, 1000

Division by 10, 100, 1000

...if you know multiplication, this will be easy!

Before we begin...

• Let's recap on our Multiplication x 10, x 100, x 1000

• It's super easy, we just use place value

• We do not "just add a 0"

• Because that doesn't work for decimals

• Let's try a few!

Multiple Choice

2 x 10 =

• 200

• 20

• 2000

• 10

Multiple Choice

12 x 10=

• 12

• 12,000

• 1,200

• 120

Multiple Choice

9 x 10=

• 9

• 900

• 9,000

• 90

Multiple Choice

7 X 700 =

• 490

• 4,900

• 4,200

• 420

Multiple Choice

3x600=

• 108

• 180

• 1800

• 1080

Multiple Choice

30 x 100

• 300

• 30,000

• 3,000

• 300,000

Multiple Choice

90 x 10=

• 900

• 90

• 9,000

• 90,000

Multiple Choice

_____x50=5,000

• 1

• 10

• 50

• 100

Multiple Choice

100x____=4800

• 4900

• 480

• 48

• 488

Division by 10, 100, 1000

• It's nice and easy, let's just use place value!

• Remember, that division is the opposite of multiplication.

• Let's try a few to see how we are starting:

Multiple Choice

600  $\div$  10

• 6

• 60

• 600

• 6,000

Multiple Choice

 $750\div10$  

• 7.5

• 75

• 7,500

• 750,000

Multiple Choice

600  $\div$  100

• 6

• 60

• 120

• 6,000

Multiple Choice

7,200 $\div$  100

• 7.2

• 77

• 72

• 720

Multiple Choice

 $850,000\div1,000$  

• 85

• 850

• 8,500

• 85,000

There is a relationship between each of the place values. Each column is 10 x greater the the previous.

There is a relationship between each of the place values. Each column is 10 x LESS the the previous. The same as ÷ 10.

Just look at those relationships, isn't place value marvellous!

Let's do some practice

For this first slide, we'll use the number 62 AND 5 tenths and we'll divide this by 10.

Multiple Choice

62.5 ÷ 10 = 6.25

• True

• False

Let's do some practice

Yes, 62.5 ÷ 10 is going to be 6.25 (6 AND 25 hundredths)-

What steps did you take to calculate this?

How is place value helping you?

What do you notice about the value of the 6 in your answer?

Let's do some practice

For this first slide, we'll use the number 62 AND 5 tenths and we'll divide this by 100.

Multiple Choice

62.5 ÷ 100 = 0.625

• True

• False

Let's do some practice

Yes, 62.5 ÷ 10 is going to be 6.25 (six hundred twenty five thousandths)

What steps did you take to calculate this?

How is place value helping you?

What do you notice about the value of the 6 in your answer?

Let's Practice with ÷ 10

Here, the following numbers we will ÷ 10.

Here come the questions:

Multiple Choice

364 ÷ 10

• 364

• 36.4

• 3.64

• 0.364

Multiple Choice

1237 ÷ 10

• 1.237

• 12370

• 123.7

• 12.37

Multiple Choice

5 ÷ 10

• 0.5

• .50

• 50

• 5

Okay, that's looking good! Same numbers this time...

...but ÷ 100

Multiple Choice

364 ÷ 100

• 364

• 36.4

• 3.64

• 0.364

Multiple Choice

1237 ÷ 100

• 1.237

• 12370

• 123.7

• 12.37

Multiple Choice

5 ÷ 10

• 0.5

• .05

• 50

• 5

Now, grab that place value chart that I have to you in school

Here come some questions

Multiple Choice

4 ÷ 10 =

• 4

• 0.4

• 0.004

• 40

Multiple Choice

530 ÷ 10 =

• 53

• 530

• 5.3

• 0.53

Multiple Choice

When you divide by 10, values are 10 x bigger so you move to the left?

• True

• False

Multiple Choice

425 ÷ 100

• 4250

• 42.5

• 4.25

• 0.425

Open Ended

8475 ÷ 100 = 84.75

Can you explain using place value, why this may be?

Can you use the value of 8,000 to justify your reasoning?