Simplify the following
A . ( 12 ) x ( − 16 ) + 16
b . ( − 34 ) ÷ ( − 23 ) + 14
c . ( − 45 ) ÷ ( − 15 ) + 13
d . ( 23 ) - ( − 16 ) - 13
e . ( − 42 ) + ( - 16 ) ÷ 13
(A) -176
(B) [tex]\frac{402}{23}[/tex]
(C) 16
(D) 26
(E) [tex]\frac{-562}{13}[/tex]
(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(÷)
[tex]\frac{-34}{-23}[/tex] + 16
The negative signs can cancel out.
[tex]\frac{34}{23}[/tex] + 16
=> Solve the fraction
[tex]\frac{34}{23}[/tex] + [tex]\frac{16}{1}[/tex]
[tex]\frac{34 + 368}{23}[/tex]
[tex]\frac{402}{23}[/tex]
(C)
( − 45 ) ÷ ( − 15 ) + 13
Following the rules of BODMAS
=> Solve the brackets first
-45 ÷ -15 + 13
=> Next, solve the division(÷)
[tex]\frac{-45}{-15}[/tex] + 13
The negative signs can cancel out.
[tex]\frac{45}{15}[/tex] + 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 - [tex]\frac{16}{13}[/tex]
=> Next solve the fraction
[tex]\frac{-42}{1}[/tex] - [tex]\frac{16}{13}[/tex]
[tex]\frac{-546-16}{13}[/tex]
[tex]\frac{-562}{13}[/tex]
