Cine îmi face exerciții are 10 puncte
Răspunsuri la întrebare
10 )
a) { [ ( 7 × 3 - 5 ) + 2 × 6 ] : 4 + 5 } × 10 - [ ( 4 + 9 ) × 5 - 60 ] =
= { [ ( 21 - 5 ) + 12 ] : 4 + 5 } × 10 - ( 13 × 5 - 60 ) =
= [ ( 16 + 12 ) : 4 + 5 ] × 10 - ( 65 - 60 ) =
= ( 28 : 4 + 5 ) × 10 - 5 =
= ( 7 + 5 ) × 10 - 5 =
= 12 × 10 - 5 =
= 120 - 5 =
= 115
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b)
( 10¹⁰ - 10⁹ ) : ( 10⁹ - 10⁸ ) = 10
= 10⁹ x ( 10 - 1 ) : [ 10⁸ x ( 10 - 1 ) ] =
= ( 10⁹ x 9 ) : ( 10⁸ x 9 ) =
= 10 x ( 10⁸ x 9 ) : ( 10⁸ x 9 )
= 10 x 1 =
= 10
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c)
( 2² x 2⁴ ) ² : 4⁶ - 16⁴ : 8⁵ : 2¹ : 2⁰ = 0
= ( 2⁶ )² : ( 2² )⁶ - ( 2⁴ )⁴ : ( 2³ )⁵ : 2 : 2⁰=
= 2¹² : 2 ²ˣ⁶ - 2 ⁴ ˣ ⁴ : 2 ³ ˣ⁵ : 2 : 2⁰ =
= 2 ⁽ ¹² ⁻ ¹² ⁾ - 2¹⁶ : 2¹⁵ : 2 : 2⁰ =
= 2⁰ - 2 ⁽ ¹⁶ ⁻ ¹⁵ ⁻ ¹ ⁻ ⁰ ⁾ =
= 1 - 2⁰ =
= 1 - 1 =
= 0
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d)
( 10 100 + 20 200 + ...... + 90 900 ) : ( 100 + 200 + ...... + 900 ) = 101
= 10 100 × ( 1 + 2 + 3 + ...... + 9 ) : [ 100 × ( 1 + 2 + ..... + 9 ) ] =
= ( 10 100 × 9 × 10 / 2 ) : ( 100 × 9 × 10 / 2 ) =
= 10 100 : 100 =
= 101