Skip to main content\(\newcommand{\identity}{\mathrm{id}}
\newcommand{\notdivide}{{\not{\mid}}}
\newcommand{\notsubset}{\not\subset}
\newcommand{\lcm}{\operatorname{lcm}}
\newcommand{\gf}{\operatorname{GF}}
\newcommand{\inn}{\operatorname{Inn}}
\newcommand{\aut}{\operatorname{Aut}}
\newcommand{\Hom}{\operatorname{Hom}}
\newcommand{\cis}{\operatorname{cis}}
\newcommand{\chr}{\operatorname{char}}
\newcommand{\Null}{\operatorname{Null}}
\newcommand{\tikzspacer}{
\draw (-8,0) circle (0.02);
\draw (8,0) circle (0.02);
}
\newcommand{\eqnspacer}{\hspace{25pt}}
\usepackage{cancel}
\usepackage{multirow}
\usepackage{hhline}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)
Worksheet Worksheet 3
1.
Perform the following calculations using a mental framework of integer chips.
\begin{equation*}
\begin{aligned}
3 + 4 \amp = \\
-2 + 8 \amp = \\
-5 + 1 \amp = \\
2 + (-5) \amp = \\
8 + (-4) \amp = \\
-3 + (-5) \amp = \\
-4 + 6 \amp = \\
-7 + 7 \amp = \\
6 + (-4) \amp =
\end{aligned}
\end{equation*}
2.
Perform the following calculations by rewriting them as addition calculations that can be done with integer chips and then performing the calculation.
\begin{equation*}
\begin{aligned}
8 - 4 \amp = \\
3 - 7 \amp = \\
-2 - 4 \amp = \\
4 - 9 \amp = \\
-3 - 3 \amp = \\
7 - 3 \amp = \\
-5 - 3 \amp = \\
5 - 7 \amp = \\
5 - 2 \amp =
\end{aligned}
\end{equation*}
3.
Practice your mental arithmetic by performing the following calculations.
\begin{equation*}
\begin{aligned}
21 - 48 \amp = \\
33 + (-15) \amp = \\
-27 + 59 \amp = \\
-32 + 15 \amp = \\
29 - (-55) \amp = \\
-18 + (-25) \amp = \\
11 + (-36) \amp = \\
-42 - (-26) \amp = \\
-42 + 37 \amp =
\end{aligned}
\end{equation*}
4.
Practice your mental arithmetic by performing the following calculations.
\begin{equation*}
\begin{aligned}
218 - 134 \amp = \\
-143 + 237 \amp = \\
-115 + (-283) \amp = \\
142 - 280 \amp = \\
-248 - (-333) \amp = \\
272 + (-358) \amp =
\end{aligned}
\end{equation*}