1.1.5
The Four Rules for Negative Numbers
The Four Rules for Negative Numbers
The Four Rules for Negative Numbers
You should be able to calculate: the sum, difference, product and quotient of negative numbers as well as positive numbers.
![Illustrative background for Calculating the sum](https://image-v2.cdn.app.senecalearning.com/2018-09/9d1fcee9-60da-4893-9c8e-fe86e0a8156b/Sum%20negative%20numbers,h_400,q_80,w_640.jpg)
![Illustrative background for Calculating the sum ?? "content](https://image-v2.cdn.app.senecalearning.com/2018-09/9d1fcee9-60da-4893-9c8e-fe86e0a8156b/Sum%20negative%20numbers,h_400,q_80,w_640.jpg)
Calculating the sum
Calculating the sum
- When calculating the sum of two negative numbers, you go down the number scale away from 0.
![Illustrative background for Calculating the product](https://image-v2.cdn.app.senecalearning.com/2018-09/a699c5dd-a152-4d24-93bd-6dc894441365/product-positive-negative-number,h_400,q_80,w_640.jpg)
![Illustrative background for Calculating the product ?? "content](https://image-v2.cdn.app.senecalearning.com/2018-09/a699c5dd-a152-4d24-93bd-6dc894441365/product-positive-negative-number,h_400,q_80,w_640.jpg)
Calculating the product
Calculating the product
- When you multiply two negative numbers together, the product is positive.
- But when you multiply one negative number by one positive number the product is always negative.
![Illustrative background for Calculating the quotient](https://image-v2.cdn.app.senecalearning.com/2018-09/6058a81b-1010-4505-ada1-8848692a79f1/quotient-negative-positive-numbers,h_400,q_80,w_640.jpg)
![Illustrative background for Calculating the quotient ?? "content](https://image-v2.cdn.app.senecalearning.com/2018-09/6058a81b-1010-4505-ada1-8848692a79f1/quotient-negative-positive-numbers,h_400,q_80,w_640.jpg)
Calculating the quotient
Calculating the quotient
- When both numbers in the division calculation are negative, the quotient is positive.
- When one number in the division calculation is negative and the other is positive, the quotient is negative.
![Illustrative background for Some tips](https://image-v2.cdn.app.senecalearning.com/2018-08/b8a50c91-d3b6-4b50-a1d3-590674dae798/thought-light-bulb-bubble-,h_400,q_80,w_640.jpg)
![Illustrative background for Some tips ?? "content](https://image-v2.cdn.app.senecalearning.com/2018-08/b8a50c91-d3b6-4b50-a1d3-590674dae798/thought-light-bulb-bubble-,h_400,q_80,w_640.jpg)
Some tips
Some tips
- Calculating the sum and difference:
- If the calculation's function (the + or −) is the same as the sign in front of the 2nd number in the equation, the answer will be positive.
- If the calculation's function (the + or −) is different to the sign in front of the 2nd number in the equation, the answer will be negative.
- Calculating the product and quotient:
- If the numbers in the equation are either both positive or both negative, the answer will be a positive number.
- If one number in the equation is positive and the other is negative, the answer will be a negative number.
1Proof
1.1Types of Numbers
1.2Notation
2Algebra & Functions
2.1Powers & Roots
2.2Quadratic Equations
2.3Inequalities
2.4Polynomials
2.5Graphs
2.7Transformation of Graphs
3Coordinate Geometry
3.1Straight Lines
3.2Circles
3.2.1Equations of Circles centred at Origin
3.2.2Finding the Centre & Radius
3.2.3Equation of a Tangent
3.2.4Circle Theorems - Perpendicular Bisector
3.2.5Circle Theorems - Angle at the Centre
3.2.6Circle Theorems - Angle at a Semi-Circle
3.2.7Equation of a Perpendicular Bisector
3.2.8Equation of a Circumcircle
3.2.9Circumcircle of a Right-angled Triangle
3.3Parametric Equations (A2 only)
4Sequences & Series
4.1Binomial Expansion
5Trigonometry
5.2Trigonometric Functions
5.3Triangle Rules
6Exponentials & Logarithms
6.1Exponentials & Logarithms
7Differentiation
7.1Derivatives
7.2Graphs & Differentiation
7.3Differentiation With Trigonometry and Exponentials
7.4Rules of Differetiation (A2 only)
7.5Parametric & Implicit Differentiation
8Integration
8.1Integration
9Numerical Methods
9.1Finding Solutions
9.2Finding the Area
10Vectors
10.12D Vectors
10.23D Vectors
10.3Vector Proofs
Jump to other topics
1Proof
1.1Types of Numbers
1.2Notation
2Algebra & Functions
2.1Powers & Roots
2.2Quadratic Equations
2.3Inequalities
2.4Polynomials
2.5Graphs
2.7Transformation of Graphs
3Coordinate Geometry
3.1Straight Lines
3.2Circles
3.2.1Equations of Circles centred at Origin
3.2.2Finding the Centre & Radius
3.2.3Equation of a Tangent
3.2.4Circle Theorems - Perpendicular Bisector
3.2.5Circle Theorems - Angle at the Centre
3.2.6Circle Theorems - Angle at a Semi-Circle
3.2.7Equation of a Perpendicular Bisector
3.2.8Equation of a Circumcircle
3.2.9Circumcircle of a Right-angled Triangle
3.3Parametric Equations (A2 only)
4Sequences & Series
4.1Binomial Expansion
5Trigonometry
5.2Trigonometric Functions
5.3Triangle Rules
6Exponentials & Logarithms
6.1Exponentials & Logarithms
7Differentiation
7.1Derivatives
7.2Graphs & Differentiation
7.3Differentiation With Trigonometry and Exponentials
7.4Rules of Differetiation (A2 only)
7.5Parametric & Implicit Differentiation
8Integration
8.1Integration
9Numerical Methods
9.1Finding Solutions
9.2Finding the Area
10Vectors
10.12D Vectors
10.23D Vectors
10.3Vector Proofs
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