Question

4. Calculaţi, folosind metoda factorului comun: a) 1001.2019-999.2019+8.2019; b) 198.201-196.201+2012; c) 30.79 +21-30+100-10;​

Answer 1

Răspuns:

Explicație pas cu pas:

$\bf a)~ 1001 \cdot 2019-999 \cdot2019+8 \cdot 2019=$

$\bf 2019 \cdot(1001-999 +8)=$

$\bf 2019 \cdot10 = \blue{\underline{~20~190}}$

$\bf b)~198\cdot201-196\cdot201+201\cdot27=$

$\bf 201\cdot(198-196+27)=$

$\bf 201\cdot 29 =$

$\purple{\underline{~\bf 5~829~}}$

$\bf c)~ 30\cdot 79 +21\cdot 30+100\cdot 10=$

$\bf 30\cdot (79 +21)+100\cdot10=$

$\bf 30\cdot 100+100\cdot10=$

$\bf 100\cdot (30+10)=$

$\bf 100\cdot 40=\red{\underline{~4~000~}}$

$==pav38==$