Question

Match each problem (term) with its sum or difference (definition). (12 points) 1. 8.34 − 1.374 2. 8.34 + 13.74 3. 83.4 + 1.374 4. 83.4 − 13.74 a. 69.66 b. 6.966 c. 84.774 d. 22.08

Answer 1

(a)

8.34 − 1.374

we can subtract it

`\frac{\begin{matrix}\space\space&\textbf{7}&\space\space&12&13&10\\ \space\space&\textbf{x}&.&x&x&x\\ -&\textbf{1}&.&3&7&4\end{matrix}}{\begin{matrix}\space\space&\textbf{6}&.&9&6&6\end{matrix}}`

so, we get

`8.34- 1.374=6.966`

so, option-b

(2)

8.34 + 13.74

we can add them

`\frac{\begin{matrix}\space\space&\textbf{1}&1&\space\space&\space\space&\space\space\\ \space\space&\textbf{0}&8&.&3&4\\ +&\textbf{1}&3&.&7&4\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&2&.&0&8\end{matrix}}`

so, we get

`8.34+13.74=22.08`

so, option-d

(3)

83.4 + 1.374

we can add them

`\frac{\begin{matrix}\space\space&\textbf{8}&3&.&4&0&0\\ +&\textbf{0}&1&.&3&7&4\end{matrix}}{\begin{matrix}\space\space&\textbf{8}&4&.&7&7&4\end{matrix}}`

`83.4+1.374=84.774`

so, option-c

(4)

83.4 − 13.74

we can subtract it

`\frac{\begin{matrix}\space\space&\textbf{7}&12&\space\space&13&10\\ \space\space&\textbf{x}&x&.&x&x\\ -&\textbf{1}&3&.&7&4\end{matrix}}{\begin{matrix}\space\space&\textbf{6}&9&.&6&6\end{matrix}}`

`83.4- 13.74=69.66`

so, option-a