Question
3. Add these integers Use regrouping to make more manageable sume (-450)+(+300)+(+80)= (-100)+(-25)+(+75)= b) (-145)+(+100)+(-25)= e (-100)+(+25)+(-7)= c) (-24)+(-30)+(-82)= fl (+80)+(+25)+(-50)+ 4. Add these integers Use the strategy of your choice a) (-58)+(+40)+(+8)= b) (+100)+(-57)+(+57)= c) (+46)+(+34)+(-20)+(-26)= d) (-125)+(-34)+(+125)+(-16)=
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Answer
### 3. a) -70, b) -50, c) -70, d) -82, e) -136, f) 55<br />### 4. a) -10, b) 100, c) 34, d) -50
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## Step 1: Simplify the first expression<br />### We have $(-450) + (+300) + (+80)$. This simplifies to $-450 + 300 + 80$. Adding the positives gives $380$. Then, $-450 + 380 = -70$.<br /><br />## Step 2: Simplify the second expression<br />### We have $(-100) + (-25) + (+75)$. This simplifies to $-100 - 25 + 75$. Combining the negatives gives $-125$. Then, $-125 + 75 = -50$.<br /><br />## Step 3: Simplify the third expression<br />### We have $(-145) + (+100) + (-25)$. This simplifies to $-145 + 100 - 25$. First, $-145 + 100 = -45$. Then, $-45 - 25 = -70$.<br /><br />## Step 4: Simplify the fourth expression<br />### We have $(-100) + (+25) + (-7)$. This simplifies to $-100 + 25 - 7$. First, $-100 + 25 = -75$. Then, $-75 - 7 = -82$.<br /><br />## Step 5: Simplify the fifth expression<br />### We have $(-24) + (-30) + (-82)$. This simplifies to $-24 - 30 - 82$. Combining all the negatives gives $-24 - 30 - 82 = -136$.<br /><br />## Step 6: Simplify the sixth expression<br />### We have $(+80) + (+25) + (-50)$. This simplifies to $80 + 25 - 50$. First, $80 + 25 = 105$. Then, $105 - 50 = 55$.<br /><br />## Step 7: Simplify 4a<br />### We have $(-58) + (+40) + (+8)$. This simplifies to $-58 + 40 + 8$. Combining the positives gives $48$. Then $-58 + 48 = -10$.<br /><br />## Step 8: Simplify 4b<br />### We have $(+100) + (-57) + (+57)$. This simplifies to $100 - 57 + 57$. The $-57$ and $+57$ cancel out, leaving $100$.<br /><br />## Step 9: Simplify 4c<br />### We have $(+46) + (+34) + (-20) + (-26)$. This simplifies to $46 + 34 - 20 - 26$. Combining the positives gives $80$. Combining the negatives gives $-46$. Then, $80 - 46 = 34$.<br /><br />## Step 10: Simplify 4d<br />### We have $(-125) + (-34) + (+125) + (-16)$. This simplifies to $-125 - 34 + 125 - 16$. The $-125$ and $+125$ cancel out. Then $-34 - 16 = -50$.
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