Use long division with fraction remainders

Maths

Explain how to multiply a 3-digit number by a 2-digit number

Explain how to use long multiplication to multiply two 2-digit numbers regrouping ones to tens

Explain how to use long multiplication to multiply two 2-digit numbers with regrouping

Explain how to use long multiplication to multiply a 3-digit by a 2-digit number

Explain how to use long multiplication to multiply a 4-digit by a 2-digit number

Explain how to use the associative law to multiply efficiently

Explain when it is efficient to use factorising or long multiplication to multiply by 2-digits

Dividing numbers with up to 4 digits by multiples of 10

Using short and long division to divide by a 2-digit divisor

Dividing by a 2-digit divisor including using long division

Solve problems with 4-digit dividends using factors and long division

Dividing by a 2-digit divisor with a remainder

Use long division with decimal remainders

Solve problems involving remainders in context

In this unit pupils will learn to multiply a 3-digit by a 2-digit number They will use accurately short and long division and use a ratio chart to solve short and long division. In the future unit pupils will add, subtract, divide and multiply with integers, decimals, positive and negative values.

In the prior unit pupils will multiply a 3-digit number by a single-digit number using expanded and short multiplication. In this unit pupils will learn why the product stays the same when one factor is doubled and the other is halved and explain the effect on the product when scaling the factors by the same amount. 

In this unit pupils will extend their understanding of formal calculation strategies to multiply and divide by 2-digit numbers, explaining when other strategies are more efficient.

Multiplying and dividing by 2-digit numbers

Use the multiplication facts to derive 20 × 16 = {{ }}

Match the fractions with an equivalent fraction

Complete the sentence:
The remainder can be written as a fraction of the __________.

Sam wants to write her division equation 345 ÷ 12 = 28 r9 with a fraction remainder. Which is correct?

Solve the equation using long division and select the correct representation of the remainder as a fraction. 482 ÷ 15 =


Flamingos at the zoo eat 12 shrimp a day. How many days will 1,928 shrimp last? Complete a long division to solve the problem and select the simplified fraction remainder.

Match the division equations to their quotients.

Match the division equations to their remainders.

Select the fractions that are in their simplest form.

Select the fractions that could simplify to $$ {2} \over{3}$$ 

Calculate the equation using long division. If there is a remainder write this using r.

Use long division with fraction remainders

Lesson outcome