Question

Q1.4. Simplify the following expressions,
a) -150+[{(-24) - 50 + (-10 + 16 × 2 - 17)} +120]
b) 18+ (-15 + 3 of {-51+ 3 +62- -5x5}]
e) 125 - (-20 of (-16) + {15 + (-5)}]
d) -120 = [-45-{15 -10 × (-18 - 15)}]​

Answer 1

Explanation:

How to solve

step 1: Firstly we will solve values inside small brackets.

Step 2: Expanding the small brackets and then solve with the larger brackets values .

Step 3: Now, Expanding the large brackets values and together solve both the values .

Step 4:Now,solve with the outside values and evaluate it is your simplest form.

a) -150+[{(-24) - 50 + (-10 + 16 × 2 - 17)} +120]

➙-150+[{( -24)-50+(-10+32-17)}+120]

➙-150+[{(-24)-50+(22-17)}+120]

➙-150+[(-24)-50+5+120]

➙-150+[ -24-50+125]

➙-150+[ -74+125]

➙150-[ 51]

➙150-51= 99

b) 18+ (-15 + 3 of {-51+ 3 +62- -5x5}]

➙18+(-15+3 × { -51+3+62-(-25)}]

➙18+(-12×{ 14+25})

➙18+(-12×39)

➙18+(-468)

➙18-468

= - 450

c) 125 - (-20 of (-16) + {15 + (-5)}]

➙125-(-20×(-16)+(15-5)

➙125-(32+10)

➙125-42

=83

d)-120 = [-45-{15 -10 × (-18 - 15)}]

➙-120= [ -45-{ 5 × (-23)}]

➙-120= [ -45 -( -115)]

➙-120= [ -45+115]

➙-120= 70

➙-120-70

= -190

Answer 2

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★

a)-150+[{(-24) - 50 + (-10 + 16 × 2 - 17)} +120]

→-150+[{(-24)-50+(-10+32-17)}+120]

→-150+[{(-24)-50+(22-17)}+120]

→-150+[(-24)-50+5+120]

→-150+[-24-50+125]

→-150+[-74+125]

→150-[51]

-150-51 99.

______________________

b) 18+ (-15 + 3 of (-51+ 3 +62--5x5}]

18+(-15+3 x {-51+3+62-(-25)}]

→18+(-12×{ 14+25})

→18+(-12-39)

→18+(-468)

-18-468

= - 450.

______________________

c) 125-(-20 of (-16)+(15+ (-5)}]

-125-(-20×(-16)+(15-5)

→125-(32+10)

→125-42

=83

_______________________

d)-120 = [-45-15 -10 × (-18 - 15)}]

-120= [-45-5 × (-23)}]

→-120= [-45-(-115)]

→-120= [-45+115]

→-120= 70

→-120-70

= -190

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