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1. Add these integers. First find pairs of opposite integers to simplify addition. a) (-45)+(+48)+(+45)+(+6)= b) (+23)+(+87)+(-23)+(+5)= c) (+76)+(-69)+(-8)+(-76)= d) (+6)+(-43)+(-6)+(-56)+(+43)= __ e) (+53)+(-42)+(+9)+(+42)= __ f) (-925)+(+387)+(+925)= __ g) (-5)+(-3)+(-7)+(+7)= __

Question

1. Add these integers. First find pairs of opposite integers to simplify addition. a) (-45)+(+48)+(+45)+(+6)= b) (+23)+(+87)+(-23)+(+5)= c) (+76)+(-69)+(-8)+(-76)= d) (+6)+(-43)+(-6)+(-56)+(+43)= __ e) (+53)+(-42)+(+9)+(+42)= __ f) (-925)+(+387)+(+925)= __ g) (-5)+(-3)+(-7)+(+7)= __

1. Add these integers. First find pairs of opposite
integers to simplify addition.
a) (-45)+(+48)+(+45)+(+6)=
b) (+23)+(+87)+(-23)+(+5)=
c) (+76)+(-69)+(-8)+(-76)=
d) (+6)+(-43)+(-6)+(-56)+(+43)= __
e) (+53)+(-42)+(+9)+(+42)= __
f) (-925)+(+387)+(+925)= __
g) (-5)+(-3)+(-7)+(+7)= __

Solution

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DrakeMaster · Tutor for 5 years

Answer

### a) 54<br />### b) 92<br />### c) -77<br />### d) -56<br />### e) 62<br />### f) 387<br />### g) -8

Explain

## Step 1: Simplify by pairing opposites in (a)<br />### We have (-45) and (+45) which sum to 0. Then we have (+48) + (+6) = 54. So, $(-45)+(+48)+(+45)+(+6) = 0 + 54 = 54$.<br /><br />## Step 2: Simplify by pairing opposites in (b)<br />### We have (+23) and (-23) which sum to 0. Then we have (+87) + (+5) = 92. So, $(+23)+(+87)+(-23)+(+5) = 0 + 92 = 92$.<br /><br />## Step 3: Simplify by pairing opposites in (c)<br />### We have (+76) and (-76) which sum to 0. Then we have $(-69) + (-8) = -77$. So, $(+76)+(-69)+(-8)+(-76) = 0 + (-77) = -77$.<br /><br />## Step 4: Simplify by pairing opposites in (d)<br />### We have (+6) and (-6) which sum to 0. We also have (-43) and (+43) which sum to 0. Then we have $0 + 0 + (-56) = -56$. So, $(+6)+(-43)+(-6)+(-56)+(+43) = -56$.<br /><br />## Step 5: Simplify by pairing opposites in (e)<br />### We have (-42) and (+42) which sum to 0. Then we have $(+53) + (+9) = 62$. So, $(+53)+(-42)+(+9)+(+42) = 62$.<br /><br />## Step 6: Simplify by pairing opposites in (f)<br />### We have (-925) and (+925) which sum to 0. Then we have $0 + (+387) = 387$. So, $(-925)+(+387)+(+925) = 387$.<br /><br />## Step 7: Simplify by pairing opposites in (g)<br />### We have (-7) and (+7) which sum to 0. Then we have $(-5) + (-3) = -8$. So, $(-5)+(-3)+(-7)+(+7) = -8$.
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