Question

Simplyfy the following
1. (-8)+(-9)+18+(-11)
2.(32)+8+(-63)+(-12)
3.(-260)+2+(-139)+73+(-41)
4.(-1)+44+(-896)+(-58)+1024
Answer with explanation
​

Answer 1

Answer:

1.Answer= -8

2.Answer= -35

3.Answer=. -365

4.Answer= 140

Answer 2

$\large\sf\underline{Question\:1\::}$

• $\sf\:(-8) +(-9) +18+(-11)$

‎

$\large\sf\underline{Solution\::}$

$\sf\:(-8) +(-9) +18+(-11)$

• Multiplying the signs and removing the brackets

$\sf\longrightarrow\:-8-9 +18-11$

• Arranging the +ve numbers and -ve numbers together

$\sf\longrightarrow\:18-8-9-11$

• Proceeding with simple calculations

$\sf\longrightarrow\:10-9-11$

$\sf\longrightarrow\:1-11$

$\small{\underline{\boxed{\mathrm\red{\longrightarrow\:-10}}}}$ ★

_________________________

‎

$\large\sf\underline{Question\:2\::}$

• $\sf\:32+8+(-63) +(-12)$

‎

$\large\sf\underline{Solution\::}$

$\sf\:32+8+(-63) +(-12)$

• Multiplying the signs and removing the brackets

$\sf\longrightarrow\:32+8-63-12$

• Proceeding with simple calculations

$\sf\longrightarrow\:40-63-12$

$\sf\longrightarrow\:-23-12$

$\small{\underline{\boxed{\mathrm\red{\longrightarrow\:-35}}}}$ ★

_________________________

‎

$\large\sf\underline{Question\:3\::}$

• $\sf\:(-260) +2+(-139) +73+(-41)$

‎

$\large\sf\underline{Solution\::}$

$\sf\:(-260) +2+(-139) +73+(-41)$

• Multiplying the signs and removing the brackets

$\sf\longrightarrow\:-260 +2-139 +73-41$

• Arranging the +ve numbers and -ve numbers together

$\sf\longrightarrow\:2+73-260-139-41$

• Proceeding with simple calculations

$\sf\longrightarrow\:75-260-139-41$

$\sf\longrightarrow\:-185-139-41$

$\sf\longrightarrow\:-324-41$

$\small{\underline{\boxed{\mathrm\red{\longrightarrow\:-365}}}}$ ★

_________________________

‎

$\large\sf\underline{Question\:4\::}$

• $\sf\:(-1)+44+(-896)+(-58)+1024$

‎

$\large\sf\underline{Solution\::}$

$\sf\:(-1)+44+(-896)+(-58)+1024$

• Multiplying the signs and removing the brackets

$\sf\longrightarrow\:-1+44-896-58+1024$

• Arranging the +ve numbers and -ve numbers together

$\sf\longrightarrow\:44+1024-1-896-58$

• Proceeding with simple calculations

$\sf\longrightarrow\:1068-1-896-58$

$\sf\longrightarrow\:1067-896-58$

$\sf\longrightarrow\:171-58$

$\small{\underline{\boxed{\mathrm\red{\longrightarrow\:113}}}}$ ★

_________________________

‎

$\large\sf\underline{Note\::}$

Solving all these problems is simple if we know some easy concept. Those concepts are as follows :

• When +ve is multiplied by -ve it becomes -ve.

• When +ve is multiplied by +ve it becomes +ve.

• When -ve is multiplied by -ve it becomes +ve.

• The number takes the sign of larger number.

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!! Hope it helps !!