Question

A . ( 12 ) x ( − 16 ) + 16 b . ( − 34 ) ÷ ( − 23 ) + 14 c . ( − 45 ) ÷ ( − 15 ) + 13 d . ( 23 ) - ( − 16 ) 13 e . ( − 42 ) + ( - 16 ) ÷ 13

Answer 1

Question

Simplify the following

A . ( 12 ) x ( − 16 ) + 16

b . ( − 34 ) ÷ ( − 23 ) + 14

c . ( − 45 ) ÷ ( − 15 ) + 13

d . ( 23 ) - ( − 16 ) - 13

e . ( − 42 ) + ( - 16 ) ÷ 13

Answer:

(A) -176

(B)
`(402)/(23)`

(C) 16

(D) 26

(E)
`(-562)/(13)`

Explanation:

(A)

( 12 ) x ( − 16 ) + 16

Following the rules of BODMAS

=> Solve the brackets first

12 x -16 + 16

=> Next, solve the multiplication(x)

-192 + 16

=> Solve the addition and subtraction

-176

(B)

( − 34 ) ÷ ( − 23 ) + 14

Following the rules of BODMAS

=> Solve the brackets first

-34 ÷ -23 + 14

=> Next, solve the division(÷)

`(-34)/(-23)` + 16

The negative signs can cancel out.

`(34)/(23)` + 16

=> Solve the fraction

`(34)/(23)` +
`(16)/(1)`

`(34 + 368)/(23)`

`(402)/(23)`

(C)

( − 45 ) ÷ ( − 15 ) + 13

Following the rules of BODMAS

=> Solve the brackets first

-45 ÷ -15 + 13

=> Next, solve the division(÷)

`(-45)/(-15)` + 13

The negative signs can cancel out.

`(45)/(15)` + 13

3 + 13

=> Solve the addition

3 + 13 = 16

(D)

( 23 ) - ( − 16 ) - 13

Following the rules of BODMAS

=> Solve the brackets first

23 - -16 - 13

=> Next, - - will give +

23 + 16 - 13

=> Next solve the addition

39 - 13

=> Next solve the subtraction

39 -13 = 26

(E)

( − 42 ) + ( - 16 ) ÷ 13

Following the rules of BODMAS

=> Solve the brackets first

-42 + -16 ÷ 13

=> Next, + - will give -

-42 - 16 ÷ 13

=> Next solve the division

-42 - 16 ÷ 13

-42 -
`(16)/(13)`

=> Next solve the fraction

`(-42)/(1)` -
`(16)/(13)`

`(-546-16)/(13)`

`(-562)/(13)`