Question

a, ( 300-150x2):(1+2+3+...+2021)

b , (312:13-24):(26x7-8)x2022

 c .( ax10-90xa:9)x(ax2004+2013)

Answer 1

a) (300 - 150 × 2) : (1 + 2 + 3 + ... + 2021)

= (300 - 300) : (1 + 2 + 3 + ... + 2021)

= 0 : (1 + 2 + 3 + ... + 2021)

= 0

b) (312 : 13 - 24) : (26 × 7 - 8) × 2022

= (24 - 24) : (26 × 7 - 8) × 2022

= 0 : (26 × 7 - 8) × 2022

= 0 × 2022

= 0

c) (a × 10 - 90 × a : 9) × (a × 2004 + 2013)

= (10a - 90a : 9) × (a × 2004 + 2013)

= (10a - 10a) × (a × 2004 + 2013)

= 0 × (a × 2004 + 2013)

= 0

Answer 2

a)

\(\text{ ( 300-150x2):(1+2+3+...+2021)}\)

= \(0:(1+2+3+...+2021)\)

= \(0\)

b)

\(\text{ (312:13-24):(26x7-8)x2022}\)

 \(=0:(26x7-8)x2022\)

\(=0:174x2022\)

\(=0\)

c) 

( ax10-90xa:9)x(ax2004+2013)

= ( 10a-10a) x (ax2004+2013)

= 0 x (ax2004+2013)

= 0 

 

 

Answer 3

\(\text{a) (300 - 150 × 2) : (1 + 2 + 3 + ... + 2021)}\)

\(=\dfrac{300-300}{1+2+3+...+2021}=\dfrac{0}{1+2=3+...+2021}=0\)

\(\text{b) (312 : 13 - 24) : (26 × 7 - 8) × 2022}\)

  \(\text{=(24 - 24) : (26 × 7 - 8) × 2022}\)

\(\text{= 0 : (26 × 7 - 8) × 2022}\)

\(=0\)

c)\(\text{ (a × 10 - 90 × a : 9) × (a × 2004 + 2013) }\)

 

\(\text{= (10a - 90a : 9) × (a × 2004 + 2013)}\)

\(\text{= (10a - 10a) × (a × 2004 + 2013) = 0 × (a × 2004 + 2013) = 0}\)