Multiplication and Division

In Mathematics, year five have been learning about multiplication and division. Take a look at the YouTube clips below to revise long multiplication and short division.

Click here to visit Jenny Eather’s Maths Dictionary. Remember to complete the set activities on Mathletics.

What do you need to remember when completing long multiplication or short division?

When would we need to use multiplication or division in everyday life?

Find the definitions of the following words and use them in a sentence: product, array, divide, multiply, composite, prime, quotient, remainder, digit and factor.

Filed under Mathematics

23 responses to “Multiplication and Division”

1. Isabelle

Dear 5W and Miss Azzopardi,

We have to remember about long multiplication and short division because we can complete it and it is hard sometimes to work it out.

A multiple is a number without a remainder and that is 15 and 20 or any multiple of five.
A digit is any numerals from 0 to 9 when forming part of a number.

2. Natalie

Dear 5W and Miss Azzopardi,
I think multiplication and division is very important to remember because if we want to share something equally we can always divide, and if we want to know how many objects fit into a 4 bags then we can always multiply. For long multiplication you need to remember that on the second line you need to put a zero, in lined with the last number of the first line.

For short division you need to remember to put the remainder on top of the next whole number. Using what I learnt, this is my mathematical sentence:
When multiplying, we multiply 2 factors to make a multiple. Also, when dividing, we divide 2 multiples which create a quotient as your answer. Both multiplying and dividing, can each have a result of a composite or prime number, remembering that a prime number has only 2 factors: itself and one, and a composite number has more than 2 factors.

Sincerely,
Natalie

3. Moufid

Dear 5W and Miss Azzopardi

I think multiplication and division is very important to remember because if we want to share something equally we can always divide, and if we want to know how many objects fit into a 4 bags then we can always multiply. For long multiplication you need to remember that on the second line you need to put a zero, in lined with the last number of the first line.

Sincerely,
Moufid

4. Jennifer.A

Dear 5W and Miss Azzopardi,

I think multiplication and division has been a very good topic in class . I have learnt how to do so much like how to figure out division problems and 2 digit multiplication sums. Something to remember is when doing 2 digit sums in multiplication ALWAYS put a 0 on you second line of multiplying. Also, you should always remember what a composite and prime number are. Here are definitions to some of the words:
Remainder
-The leftover number from a division sum, EG: 16 divided by 3 equals 5 r1
Composite number:
-A number that has more than 2 factors, EG: 8) 2,4,1,8,
Prime number:
-A number that has only 2 factors, EG: 2) 1,2
Did you learn something in maths?

Yours truly,
Jennifer.A

• Natalie

Dear Jennifer A,
Wow! You learnt a lot during the lessons on multiplication and division!

Sincerely,
Natalie

• Grace

Dear Jennifer A,

I have learnt a lot I multiplication and when I was starting to multiply with 2 or 3 digit numbers I always forgot the 0. I really liked multiplication but I also thought division was really fun.

Kind regards,
Grace

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6. Bella.Lolas

Dear Five White,

I think the lessons for multiplication and division have taught me and the class so much, we really enjoy them. What i remember when trying to solve long division, we look at the first number for instance 4 and look at the next number and see how many times 4 would be able to fit into it. For long multiplication you look at one of the numbers on the second row and times that number by the numbers above it, then put the number below. Then you go to the next line and for the first number always put a 0 and then multiply the other to the numbers above, THEN you go to the third line and add the numbers up.
For example

134
44
4×4-16
4×3-12
4×1-4
so on the line you put
4,2 and give the one to 4 and then you put 16 plus 4 equals 20
2420
line 2
4×4-16
4×3-12
4×1-44,
2 and give the one to 4 and then you put 16 plus 4 equals 20
02420
line 3
2plus2 4
4plus4 8
2plus2 4
0plus0 0
4840
Did you learn something

7. Bella.Lolas

Dear Five white

Prime number is a when it can’t be divided evenly by any number
(except 1 or itself).

Divide when it can’t be divided evenly by any number
(except 1 or itself).

Multiply Obtain from (a number) another that contains the first number a specified number of times

Sincerely
Bella

8. Linh- Cecilia's Aunty

Wow! Multiplication and Division looks really fun and interesting, Those videos about Multiplication and Division are very educational and useful for students in Years 4-5.

• Alicia

Hi Linh,

Those videos are very educational. Our teacher has taught our class a lot with those videos. Maybe it taught you a lot as well.

See ya, Alicia

9. Grace

Dear Miss Azzopardi and 5W,

I have learnt a lot from these lessons because I got to say I am not so good at multiplication but when we were practising the algorithms for multiplication I then understood what I had to do. If it weren’t for those lessons I would not have known what to do but know I can do 467×26. The definition of Prime is a number than only has two factors itself and 1. We can use multiplication when were in the shops and there are 6 items that cost the same amount and instead of adding it so many times we can just multiply it.

Sincerely,
Grace

• Jennifer.A

Dear Grace,

WOW GRACE!! It looks like you have learnt more than a lot, a heap more 🙂 I think you did very well in your test because you were listening in class a lot and you remembered a lot from lessons with Miss Azzopardi.

Sincerley,
Jennifer.A.

10. Alicia

Dear: Five white and Miss.Azzopardi,

I really enjoyed learning about multiplication and division. Here are some definitions.
Prime- A prime number is a number that only has two factors. Itself and one.

Composite- A composite number is a number that has more than two factors. E.G: 12 and 25.

Array- An array is a set of groups or it can be arranged in order but it is often used in rows or groups.

Tree diagram- (I will give you an example) 36= 3 times 12= (number 12 could be times again) 2 times 6=2 times 3 (you could stop if you think it was all times by 36!) 36
3 12
2 6
2 3

Can you think of any other dictionary meanings that include multiplication and division?

Alicia

• Jennifer E

Dear Alicia,

I really enjoyed the multiplication and division 🙂
Thanks for the definitions they really helped me understand.

Algorithm is another dictionary meaning you could include, an Algorithm is a step-by-step solution to a problem, an example of an algorithm is long division.

Yours Truly,
Jennifer E

11. James

Dear Miss Azzopardi & Five white,

Multiplication and division is far the most my favorite math subject in the world.Hopefully we will learn about fractions.

12. Kevin

Dear five white and ms Azzopardi,

I think multiplication and division is very important because in the future you would need to know how to share things equally.
I think we use multiplication and division in our daily life at school, shopping, tutor and more. The thing we need to remember is to remember the remainders.

Sincerely,
Kevin

• Kong

Dear Kevin,

I would certainly agree with your point that multiplication and division is important even in our daily life.

Sincerely,
Kong

13. Kong

Dear 5 White and Miss Azzopardi,

When we are doing short division, we need to remember that when the number at the left can’t fit into a digit in the right, we need to put a 0 at the top and add the digit to the next number. Such as a problem like 345 divided by 5, 5 can’t go into 3 so we put the 3 to the next number to make it the tens, but in this case we make 34.

Kind Regards,
Kong

14. Nathan

Dear 5W and Miss Azzopardi,

I think multiplication and division is ESSENTIAL to life because it will assist us in many ways. We need to remember is that if you are multiplying a number by 10 you just have to add a zero, if you divide by 10 you remove a zero, with 2 digit multiplication you MUST add a zero at the start of the second line.

15. phillip

Dear Five White and Miss Azzopardi,

I think Multiplication and Division is fun I learnt some new things and it was interesting. The activities were really fun and interesting.

Sincerely,
Phillip

16. Tony

Dear Five White and Miss Azzopardi,

Multiplication and Division can be very fun to do. Also I think people need Multiplication and Division in life because it helps us to work out problems and it can make us very smart in tests. If we want to be successful in life we have to be smart and I think if we do good in school we can become better learners and become a better person.

Sincerly,
Tony

17. Anthony

Dear Five White and Miss Azzopardi,

I learnt lot about multiplication and division. In multiplication and division I learnt how to do algorithms with multiplication and figure out sums quicker for division. When completing multiplication and short division you need to remember to add the remainders and in multiplication sums you need to add the zero if your adding by two numbers. I would need to use multiplication and division in my everyday life for e.g.

-to divide people when I am playing soccer or football

-multiply in maths games and

-at the shops for e.g if I went to the shops and I bought a packet of chewing gum which costed \$1.00 and if I bought five I would have to multiply 1 x 5 = 5.

I have learnt a lot of new things in multiplication and division.
How much have you learnt in multiplication and division?

Sincerely Anthony