Working with Decimal Numbers

Addition with decimals

Subtraction with decimals

Multiplication with decimals

Dividing with decimals

Multiplication using the grid method

Multiplication problems

Rounding to a decimal place

Prerequisite Knowledge

• Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
• Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context
• Solve problems involving addition, subtraction, multiplication and division
• Multiply one-digit numbers with up to two decimal places by whole numbers
• Use written division methods in cases where the answer has up to two decimal places

Key Concepts

• Students should have a good understanding of the place value table to add and subtract with decimal numbers.
• When multiplying with decimal numbers students should be able to use a range of range of written methods.
• Estimations should be made when dividing and multiplying with decimals.
• When rounding to a decimal place the number is rounded up if it is exactly midway between two numbers.

Working mathematically

Develop fluency

• Consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system and place value to include decimals

Reason mathematically

• Extend their understanding of the number system; make connections between number relationships

Solve problems

• Develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems
• Develop their use of formal mathematical knowledge to interpret and solve problems, including in financial mathematics

Subject Content

Number

• Understand and use place value for decimals, measures and integers of any size
• Order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers; use the symbols =, ≠, <, >, ≤, ≥