## Addition And Subtraction Homework Year 2000

This list consists of visual resources, activities and games designed to support the new curriculum programme of study in Years 3 and 4. Containing tips on using the resources and suggestions for further use it covers:

**Year 3**: adding and subtracting numbers up to 3 digits mentally and using formal methods, estimating answers, using inverse operations to check answers and solving problems.

**Year 4**: adding and subtracting numbers up to 4 digits using formal methods, estimating answers, using inverse operations to check answers and solving two step addition and subtraction problems.

Visit the primary mathematics webpage to access all lists.

## Links and Resources

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Category:Mathematics

A wealth of interactive resources which may be used to demonstrate key teaching points across the mathematics curriculum.

**The interactive Number line** is a good way of showing how to count on or back to find the difference between two numbers.

Category:Mathematics

These booklets highlight common errors and misconceptions in addition and subtraction children may hold in KS2. E.g. page 23 highlights a possible reason for calculation errors; that a child may not yet be secure in number bonds to 20. An activity is detailed to help develop the child's understanding and help to fill in any gaps in their learning. A great resource for supporting small groups or individuals.

Category:Mathematics

Aimed at lower KS2, this resource provides games and activities, including photocopiable worksheets. They could be used with the whole class or with smaller groups practising specific topics.

Topic 3 looks at subtraction as the inverse operation of addition. It includes activities which practise counting back on a number line, finding out differences and revising and memorising subtraction number bonds.

As children may become confused if introduced to the standard condensed form of subtraction with exchange too early, topic 13 shows examples of and provides activities to practise subtraction of two digits by two digits using decomposition. Further resources aimed at Year 4 may be found in here.

Category:Mathematics

Three resource packs contains work cards including games, activities and calculations based around simple counting, number bonds to ten, addition using money and adding two and three digit numbers. Some activities use base ten to support column addition, others practise addition through games and investigation. They start with simple addition and extend to more difficult tasks.

Category:Mathematics

An activity idea for using Cuisenaire Rods to introduce subtraction. Could be a way of introducing subtraction to the whole class or to support smaller groups of learners. This activity could be adapted for use with coloured cubes, or squared paper and also be used to make addition sentences in a similar way.

Category:Mathematics

Six work cards for running activities on subtracting two digit numbers using physical apparatus and using the column method. One card demonstrates how base ten apparatus may be used to aid subtraction of two digit numbers from two digit numbers. This could be extended to subtract two digit numbers from three digit numbers. It also includes games to practise subtraction.

Category:Mathematics

A collection of worksheets which can be used to reinforce calculation skills. They are useful for homework or as a reinforcement of key ideas.

This selection of games may be laminated and used by children to practise calculation with many games on addition and subtraction. Use as a starter, activity with small groups, to extend or support or even for homework. The games practise addition subtraction with 1 or 3 digits.

Category:Mathematics

Books 8 and 9 are a collection of games which may be used in class to practise addition of single and two-digit numbers.

Category:Mathematics

Solving worded problems is always an area that children find difficult. This video shows a way of helping children develop their understanding of how the language of a problem relates to a particular mathematical operation. Sorting key words and phrases to decide which operation is required provides children with an approach that they could apply when faced with further worded problems.

Twelve resources to help children get you thinking mathematically.

###### Recall:

The four basic mathematical operations are:

Addition

**Adding** two (or more) numbers means to find their sum (or total). The symbol used for addition is '+'.

For example, 5 + 10 = 15

This is read as five plus ten is equal to fifteen or simply, five plus ten is fifteen.

Example 1

Find the sum of 9 and 8.

##### Solution:

9 + 8 = 17

Addition of Large Numbers

To add large numbers, list them in columns and then add only those digits that have the same place value.

Example 2

Find the sum of 5897, 78, 726 and 8569.

##### Solution:

Note:

- Write the numbers in columns with the thousands, hundreds, tens and units lined up.
- 7 + 8 + 6 + 9 = 30. Thus, the sum of the digits in the units column is 30. So, we place 0 in the units place and carry 3 to the tens place.
- The sum of the digits in the tens column after adding 3 is 27. So, we place 7 in the tens place and carry 2 to the hundreds place.
- The sum of the digits in the hundreds column after adding 2 is 22. So, we place 2 in the hundreds place and carry 2 to the thousdands place.

Subtraction

**Subtracting **one number from another number is to find the difference between them. The symbol used for subtraction is '–'. This is known as the minus sign.

For example, 17 – 8 = 9

This is read as seventeen take away eight is equal to nine (or seventeen take away eight is nine). Also, we can say that 17 minus 8 is 9.

Example 3

Subtract 9 from 16.

##### Solution:

16 – 9 = 7

Subtraction of Large Numbers

To subtract large numbers, list them in columns and then subtract only those digits that have the same place value.

Example 4

Find the difference between 7064 and 489.

##### Solution:

Note:

- Use the
**equals addition method**or the**decomposition method**. - Line up the thousands, hundreds, tens and units place values for the two numbers when placing the smaller number below the larger number as shown above.

Multiplication

**Multiplication** means times (or repeated addition). The symbol used for multiplication is '×'.

For example, 7 × 2 = 14

This is read as seven times two is equal to fourteen or simply, seven times two is fourteen.

To multiply a large number with another number, we write the numbers vertically and generally multiply the larger number with the smaller number.

Note:

A **product** is the result of the multiplication of two (or more) numbers.

Example 5

Calculate 765 × 9.

##### Solution:

Write the smaller number, 9, under the larger number, 765, and then calculate the multiplication.

Note:

- 9 × 5 = 45. So, place 5 units in the units column and carry the 4 (i.e. four tens) to the tens column.
- Calculate 9 × 6 and then add 4 to give 58 (i.e. 58 tens). Then place 8 in the tens column and carry 5 to the hundreds column.
- Finally multiply 7 by 9 and add 5 to give 68 (i.e. 68 hundreds). Write this number down as shown above.

Remember:

- To multiply two large numbers, write the numbers vertically with the larger number generally being multiplied by the smaller number which is called the multiplier.
- We use the 'times table' to find the product of the larger number with each digit in the multiplier, adding the results.
- Remember to add a zero for every place value after the multiplying digit. For example, if the multiplying digit is in the hundreds column, add two zeros for the tens column and for the units column.

Example 6

Calculate 38 × 70.

##### Solution:

Note:

- Multiplying 38 by 70 is quicker than multiplying 70 by 38 as 70 contains a zero.
- A zero is placed in the units column. Then we calculate 7 × 38 as shown above.

Example 7

Calculate 385 × 500.

##### Solution:

Note:

- Multiplying 385 by 500 is quicker than multiplying 500 by 385 as 500 contains two zeros.
- A zero is placed in the units column and also the tens column. Then we calculate 5 × 385 as shown above.

Example 8

Calculate 169 × 68.

##### Solution:

Note:

- To multiply 169 by 68, place 68 below 169.
- Then we calculate 8 × 169 and 60 × 169 as shown above.

Division

**Division** 'undoes' multiplication and involves a number called the **dividend** being 'divided' by another number called the **divisor**. The symbol used for division is '÷'.

Example 9

##### Solution:

Example 10

##### Solution:

Note:

- As division is the inverse of multiplication, start by dividing 4 into the column furthest to the left.
- 6 ÷ 4 = 1 and 2 is the remainder.
- Clearly, the remainder 2 is 200 (i.e. 20 tens); and we can carry this into the tens column to make 29.
- Now, 29 ÷ 4 = 7 with a remainder of 1. Clearly, the remainder of 1 is 10 (i.e. 10 units) and we carry this into the units column to make 12.
- Finally, 12 ÷ 4 = 3.

Example 11

##### Solution:

Summary

- The four basic mathematical operations are:

- Adding two (or more) numbers means to find their sum (or total).
- Subtracting one number from another number is to find the difference between them.
- Multiplication means times (or repeated addition). A product is the result of the multiplication of two (or more) numbers.
- Division 'undoes' multiplication.

Key Terms

basic operations, addition, sum, total, subtraction, difference, minus sign, equals addition method, decomposition method, multiplication, times, repeated addition, product, division, dividend, divisor, quotient, remainder

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