3.2. Calculate the values of the expressions below without using a calculator. (Show your calculation.) NBIII Answers only, no mark(s) will be awarded. \begin{tabular}{|l|l|l|}\hline 3.2 .1 & $$ 4 imes(12-8) $$ & $$ (2) $$ \ \hline 3.2 .2 & $$ -4+2 imes 5-6 $$ \ \hline 3.2 .3 & $$ -(-4)^{2}-\sqrt{6^{2}}-(-2)^{3} $$ & $$ (2) $$ \ \hline 3.2 .4 & $$ \sqrt{-4 imes-9+8^{2}} $$ & $$ (4) $$ \ \hline 3.2 .5 & $$ \frac{6+3 imes 7}{-3} $$ & $$ (3) $$ \ \hline\end{tabular}

Question

3.2. Calculate the values of the expressions below without using a calculator. (Show your calculation.) NBIII Answers only, no mark(s) will be awarded. \begin{tabular}{|l|l|l|}\hline 3.2 .1 & $$ 4 	imes(12-8) $$ & $$ (2) $$ \ \hline 3.2 .2 & $$ -4+2 	imes 5-6 $$ \ \hline 3.2 .3 & $$ -(-4)^{2}-\sqrt{6^{2}}-(-2)^{3} $$ & $$ (2) $$ \ \hline 3.2 .4 & $$ \sqrt{-4 	imes-9+8^{2}} $$ & $$ (4) $$ \ \hline 3.2 .5 & $$ \frac{6+3 	imes 7}{-3} $$ & $$ (3) $$ \ \hline\end{tabular}

UpStudy AI · Accepted Answer

**3.2.1**  
Evaluate the expression:
$$
4 \times (12-8)
$$
1. Calculate the parenthesis:  
   $$
   12-8=4
   $$
2. Multiply:  
   $$
   4 \times 4=16
   $$
   
**3.2.2**  
Evaluate the expression:
$$
-4+2 \times 5-6
$$
1. Perform the multiplication:  
   $$
   2 \times 5=10
   $$
2. Substitute the result:  
   $$
   -4+10-6
   $$
3. Compute from left to right:  
   $$
   (-4+10)=6, \quad 6-6=0
   $$
   
**3.2.3**  
Evaluate the expression:
$$
-(-4)^{2}-\sqrt{6^{2}}-(-2)^{3}
$$
1. Calculate $$(-4)^2$$:  
   $$
   (-4)^2=16 \quad \text{so} \quad -16
   $$
2. Compute the square root:  
   $$
   \sqrt{6^2}=\sqrt{36}=6
   $$
3. Calculate $$(-2)^3$$:  
   $$
   (-2)^3=-8 \quad \text{and} \quad -(-2)^3 = -(-8)=8
   $$
4. Combine the results:  
   $$
   -16-6+8=-14
   $$
   
**3.2.4**  
Evaluate the expression:
$$
\sqrt{-4 \times -9+8^{2}}
$$
1. Multiply:  
   $$
   -4 \times -9=36
   $$
2. Compute the square:  
   $$
   8^2=64
   $$
3. Add inside the square root:  
   $$
   36+64=100
   $$
4. Take the square root:  
   $$
   \sqrt{100}=10
   $$
   
**3.2.5**  
Evaluate the expression:
$$
\frac{6+3 \times 7}{-3}
$$
1. Multiply in the numerator:  
   $$
   3 \times 7=21
   $$
2. Add in the numerator:  
   $$
   6+21=27
   $$
3. Divide:  
   $$
   \frac{27}{-3}=-9
   $$
**3.2.1** $$ 4 \times (12-8) = 16 $$ **3.2.2** $$ -4 + 2 \times 5 - 6 = 0 $$ **3.2.3** $$ -(-4)^2 - \sqrt{6^2} - (-2)^3 = -14 $$ **3.2.4** $$ \sqrt{-4 \times -9 + 8^2} = 10 $$ **3.2.5** $$ \frac{6 + 3 \times 7}{-3} = -9 $$

3.2. Calculate the values of the expressions below without using a
calculator. (Show your calculation.) NBIII Answers only, no mark(s) will
be awarded.

3.2 .1

3.2 .2

3.2 .3

3.2 .4

3.2 .5

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3.2. Calculate the values of the expressions below without using a calculator. (Show your calculation.) NBIII Answers only, no mark(s) will be awarded. 3.2 .1 3.2 .2 3.2 .3 3.2 .4 3.2 .5