Resources for Adding and Subtracting Integers
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Questions
10
With Worked SolutionClick Here -
Video Tutorials
2
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Adding and Subtracting Integers Theory
![\begin{center} \begin{tabular}{l|l} \(\begin{aligned}[t] 4+3&=7 \\ 4+(-3)&=4-3=1 \\ -4+3&=-1 \\ -4+(-3)&=-4-3=-7 \end{aligned}\)& \ \(\begin{aligned}[t] 4-3&=1 \\ 4-(-3)&=4+3=7 \\ -4-3&=-7 \\ -4-(-3)&=-4+3=-1 \end{aligned}\) \end{tabular} \end{center} \begin{multicols}{2} \textbf{Example 1}\\ \textbf{i)} \(3+(-4)=\)\\ \textbf{ii)} \(3-(-4)=\)\\ \textbf{Example 1 solution}\\ \textbf{i)} \(3+(-4)=3-4\)\\ start at 3 and go back 4 on the number line.\\ \(\therefore 3+(-4)=-1\)\\ \textbf{ii)} \(3-(-4)=3+4\)\\ start at 3 and go forward on the number line\\ \(\therefore 3+4=7\). \columnbreak \textbf{Example 2}\\ \textbf{i)} If the temperature is \(12^{\circ} \text{ C}\) and rises by \(6^{\circ} \text{ C}\), what is the temperature?\\ \textbf{ii)} A stone falls from a height of \(100 \text{~m}\) How far has it fallen when it is \(65 \text{~m}\) above the ground?\\ \textbf{Example 2 solution}\\ \textbf{i)} \(12^{\circ}+6^{\circ}=18^{\circ}\text{ C}\)\\ \textbf{ii)} \(100-65=35 \text{ m}\)\\ It has fallen \(35\)m. \end{multicols}](/media/v5qb131y/29799.png)