# KS2 Maths Year 5 – 6b Multiplication and Division

Multiplication and Division

Multiplication and division are the inverse (opposite) of each other.

We can use multiples and division of smaller numbers to do longer division.

Division can be thought of as how many of a value ‘goes into’ the other.

When we use division for large numbers, we work in the opposite direction to multiplication, and see what fits into the largest place value first.

How to Multiply & Divide

What can we do now?

Now that you can do division, you can answer questions like these:

1)  What is the answer (quotient) when 755 is divided by 5?

2) Poppy has 4536 marbles, and wants to divide them evenly into 9 pots. How many marbles will go in each pot?

3)  After an earthquake the emergency services have to accommodate 9874 people. If an emergency shelter accommodates 7 people, how many will they need? National Curriculum

Pupils should learn to

• identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers
• know and use the vocabulary of prime numbers, prime factors and composite (nonprime) numbers
• establish whether a number up to 100 is prime and recall prime numbers up to 19
• multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers
• multiply and divide numbers mentally drawing upon known facts
• divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context
• multiply and divide whole numbers and those involving decimals by 10, 100 and 1000
• recognise and use square numbers and cube numbers, and the notation for squared ( 2 ) and cubed (3 )solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes
• solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign
• solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates.