1. Multiply with 0 and 1
MAFS.3.OA.2.5

2. Multiply with 1
There is 1 goldfish in each of 3 fishbowls. How many goldfish are there?

3. Multiply with 1
There is 1 goldfish in each of 3 fishbowls. How many goldfish are there?
Write the multiplication and addition equations that correspond to the problem.
3 × 1 = 3
= 3

4. There are 3 goldfish in 1 fishbowl. How many goldfish are there?
Multiply with 1
There are 3 goldfish in 1 fishbowl. How many goldfish are there?

5. Multiply with 1
There are 3 goldfish in 1 fishbowl. How many goldfish are there?
Write the multiplication equation that corresponds to the problem.
1 × 3 = 3

6. Multiply with 1
What do you notice about the two multiplication equations?
3 × 1 = 3
1 × 3 = 3
When you multiply any number by 1, the product is the other factor.

7. Model it!
= 5
5 x 1

8. Model it!
= 7
1 x 7

9. Model it!
= 0
3 x 0

10. This represents 0 or NO groups of 15, which is 0 or NOTHING!
Model it!
0 x 15
= 0
This represents 0 or NO groups of 15, which is 0 or NOTHING!

11. Multiplying with 1
Let’s look at our Multiplication Table…

12. Multiplying with 1
Find all the multiples of 1…

13. Multiplying with 1 Find all the multiples of 1…
The multiples of 1 are all numbers because any number multiplied by 1 is the same number.
Any number is a multiple of 1.

14. Multiplying with 1
Let’s look at our 100 Chart…

15. Multiplying with 1
Find all the multiples of 1.

16. Multiplying with 1 What do you notice about all the multiples of 1?
The multiples of 1 are all numbers because any number multiplied by 1 is the same number.
Any number is a multiple of 1.

17. Nothing inside each group
Multiply with 0
Draw a model to solve each of the following:
3 × 2 = _____
4 × 5 = _____
1 × 3 = _____
4 × 0 = _____
0 × 3 = _____ 6 20 3
Nothing inside each group
No groups (zero groups) of 3

18. Multiply with 0 4 × 0 = _____ 0 × 3 = _____
What do you notice about the two multiplication equations?
4 × 0 = _____
0 × 3 = _____
Nothing inside each group
No groups (zero groups) of 3
When you multiply any number by 0, the product is always 0.

19. Multiplying with 0
Let’s look at our Multiplication Table…
Usually, 0 is not included on a multiplication table because 0 groups of any number is 0.

20. Multiplying with 0
Let’s look at our 100 Chart…

21. Multiplying with 0 Find all the multiples of 0…
There are no multiples of 0 on the 100 chart because the 100 chart does not show 0.
0 is the only multiple of 0.

22. Is 157 a multiple of 0? Is 157 is multiple of 1? Bonus Questions
How do you know?
Is 157 a multiple of 0?
Yes, the ones place is always a 0 or a 5 because when you skip count by 5, you start with 0, then add 5.
112 is NOT a multiple of 5 because the ones place is not a 0 or 5.

23. Exit Ticket Write an equation that represents the following situation.
Lola has 4 sheets of stickers with no stickers left on any sheet. How many stickers does Lola have altogether?
Timothy has 12 buckets with 1 liter of water in each bucket. Which equation matches how many liters of water Timothy has?
ⓐ = 13 ⓒ 12 – 1 = 11
ⓑ 12 × 1 = 12 ⓓ 12 × 0 = 0