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Evaluate each expression.

7) (-7) + (-10) – 5 +2 8) (-9) + 4 + (-8) – (-7)

8) (-6) – (2 x 4) – (-1) 10) (-8) + (-4 ÷ -4) – 8

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Answer:

Please check the explanation.

Step-by-step explanation:

Solving the expressions

7)

given the expression

[tex]\left(-7\right)+\:\left(-10\right)\:-\:5\:+2[/tex]

  • [tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
  • [tex]\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:[/tex]
  • [tex]\mathrm{Apply\:rule\:}+\left(-a\right)\:=\:-a[/tex]

so

[tex]=\left(-7\right)-10-5+2[/tex]

[tex]=-17-5+2[/tex]

[tex]=-22+2[/tex]

[tex]=-20[/tex]

8)

[tex]\left(-9\right)+4+\left(-8\right)-\left(-7\right)[/tex]

  • [tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
  • [tex]\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:[/tex]
  • [tex]\mathrm{Apply\:rule\:}+\left(-a\right)\:=\:-a[/tex]

so

[tex]=-5+\left(-8\right)-\left(-7\right)[/tex]

[tex]=-5-8-\left(-7\right)[/tex]

[tex]=-13-\left(-7\right)[/tex]

[tex]=-13+7[/tex]

[tex]=-6[/tex]

9)

[tex]\left(-6\right)\:-\:\left(2\:\times \:4\right)\:-\:\left(-1\right)\:[/tex]

  • [tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
  • [tex]\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:[/tex]

so

[tex]\left(-6\right)-\left(2\times \:4\right)-\left(-1\right)[/tex]

Calculate within parentheses

[tex]=\left(-6\right)-8-\left(-1\right)[/tex]

[tex]=-14-\left(-1\right)[/tex]

[tex]=-14+1[/tex]

[tex]=-13[/tex]

10)

[tex]\left(-8\right)\:+\:\left(-4\:\div \:-4\right)\:-\:8[/tex]

solving

[tex]\left(-8\right)+\left(-\frac{4}{-4}\right)-8[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]

[tex]=-8-\frac{4}{-4}-8[/tex]

[tex]=-8-\left(-1\right)-8[/tex]

[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]

[tex]=-8+1-8[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-8+1-8=-15[/tex]

[tex]=-15[/tex]

The value of the given expression 7) (-7) + (-10) – 5 +2 is -20, 8) (-9) + 4 + (-8) – (-7) is -6, 9) (-6) – (2 x 4) – (-1) is -11, 10) (-8) + (-4 ÷ -4) – 8 is -15.

What is BODMAS rule?

BODMAS stands for B- bracket, O- order, D-division, M-multiplication, A- addition, S- subtraction. We use this rule when there is more than one operation are present in the mathematical expression.

7)  (-7) + (-10) – 5 +2

here, we will use the BODMAS rule, the addition and subtraction will go from left to right.

= -7 -10 -5 + 2

= -17 -5 + 2

= -22 + 2

= -20

8) (-9) + 4 + (-8) – (-7)

=  -9 +4 -8 +7

= -5 -8 +7

= -13 + 7

= -6

9) (-6) – (2 x 4) – (-1)

= -6 - 8 +1

= -12 + 1

= -11

10) (-8) + (-4 ÷ -4) – 8

= -8 -4/ (-4) - 8

= -8 +1 -8

= -7 -8

= -15

Therefore, the value of the given expression 7) (-7) + (-10) – 5 +2 is -20, 8) (-9) + 4 + (-8) – (-7) is -6, 9) (-6) – (2 x 4) – (-1) is -11, 10) (-8) + (-4 ÷ -4) – 8 is -15.

Learn more about the BODMAS rule here:

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