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

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

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 1 + 1 + 1 = 3

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?

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

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.

Model it! = 5 5 x 1

Model it! = 7 1 x 7

Model it! = 0 3 x 0

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!

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

Multiplying with 1 Find all the multiples of 1…

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.

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

Multiplying with 1 Find all the multiples of 1.

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.

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

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.

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.

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

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.

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.

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? ⓐ 12 + 1 = 13 ⓒ 12 – 1 = 11 ⓑ 12 × 1 = 12 ⓓ 12 × 0 = 0