Co mbi ned Oper ati ons i n Q. ( Gui de)
Co mbi ned operati ons are mat he mati cal expr essi ons wher e t wo ( 2) or mor e basic operati ons
(+, -, x, ÷) i ntervene i n the sa me exerci se.
Exa mpl e:
Di vi de Mul ti pl y
3 + 8 ÷ 2 - 3 x 1
Addi ti on Subt r ac t i on
Subtracti on
To resol ve thi s type of operati ons, you must take i nto account:
1-. The pr obl e ms are sol ved i n the f oll owi ng or der:
2-. You start by sol vi ng what is i nsi de the parent heses ( ), then the brackets and fi nall y
the key
3-. You must re me mber the steps to add nu mbers i n Z.
a) Nu mbers with equal si gns are added and the sa me si gn i s pl aced.
( - 4 ) + ( - 6 ) = - 10
( + 7 ) + ( + 2 ) = + 9; whi ch i s the sa me as what we say ( 7 ) + (2 ) = 9
b) Nu mbers with different si gns are subtracted and the si gn of the nu mber that has the
gr eat est absol ut e val ue i s pl aced.
( - 7 ) +( 9 ) = 2
( - 8 ) + ( 3 ) = -5
4-. Re me mber the Mul ti plicati on of si gns.
+ · + = + Exa mpl e (8) · (7) = 56
- · - = + Exa mpl e (- 7) · (-4) = 28
- · + =- Exa mpl e (- 2) · (7) = - 14
+ · - =- Exa mpl e ( 6) · (-3) = - 18
Co mbi ned operati ons are mat he mati cal expr essi ons wher e t wo ( 2) or mor e basic operati ons
(+, -, x, ÷) i ntervene i n the sa me exerci se.
Exa mpl e:
Di vi de Mul ti pl y
3 + 8 ÷ 2 - 3 x 1
Addi ti on Subt r ac t i on
Subtracti on
To resol ve thi s type of operati ons, you must take i nto account:
1-. The pr obl e ms are sol ved i n the f oll owi ng or der:
2-. You start by sol vi ng what is i nsi de the parent heses ( ), then the brackets and fi nall y
the key
3-. You must re me mber the steps to add nu mbers i n Z.
a) Nu mbers with equal si gns are added and the sa me si gn i s pl aced.
( - 4 ) + ( - 6 ) = - 10
( + 7 ) + ( + 2 ) = + 9; whi ch i s the sa me as what we say ( 7 ) + (2 ) = 9
b) Nu mbers with different si gns are subtracted and the si gn of the nu mber that has the
gr eat est absol ut e val ue i s pl aced.
( - 7 ) +( 9 ) = 2
( - 8 ) + ( 3 ) = -5
4-. Re me mber the Mul ti plicati on of si gns.
+ · + = + Exa mpl e (8) · (7) = 56
- · - = + Exa mpl e (- 7) · (-4) = 28
- · + =- Exa mpl e (- 2) · (7) = - 14
+ · - =- Exa mpl e ( 6) · (-3) = - 18
