Question

ℓ. 500 – {5[409 – (2³.3 – 21)²] + 10³} : 15 m. 67 – [8 + 7.3² – 24 : 6 + (9 – 7)³] : 15

n. (–23) + 13 + (–17) + 57 o. (–123) + |–13| + (–7) p. |–10| + |45| + (–|–455|) + |–750|

q. –|–33| + (–15) + 20 – |45 – 40| – 57. h. 9.|40 – 37| – |2.13 – 52|

Answer 1

ℓ. 500 – {5[409 – (2³.3 – 21)²] + 10³} : 15

= 500 - {5[409-(8.3-21)²]+10³}:15

= 500-{5[409-(24-21)²]+1000}:15

= 500-{5[409-3²]+1000}:15

= 500-{5[409-9]+1000}:15

= 500-{[5.400]+1000}:15

= 500-{2000+1000}:15

= 500-3000:15

= 500-200

= 300

m. 67 – [8 + 7.3² – 24 : 6 + (9 – 7)³] : 15

= 67 – [8 + 7.9 – 4 + 2³] : 15

= 67 – [8 + 63 – 4 + 8] : 15

= 67 – [71 – 4 + 8] : 15

= 67 – [67 + 8] : 15

= 67 – 75 : 15

= 67 – 5

= 62

n. (–23) + 13 + (–17) + 57

= (–10) + [(–17) + 57]

= (–10) + 40

= 30

o. (–123) + |–13| + (–7)

= [(–123) + (–7)] + |–13|

= (–130) + 13

= (–117)

p. |–10| + |45| + (–|–455|) + |–750|

= 10 + 45 + (–455) + 750

= (10 + 45 + 750) + (–455)

= 805 + (–455)

= 350

q. –|–33| + (–15) + 20 – |45 – 40| – 57 = (–33) + (–15) + 20 – |5| – 57 = (–48) + (20 + 5 + 57) = (–48) + 82 = 34 h. 9.|40 – 37| – |2.13 – 52| = 9.|3| – |26 – 52| = 9.3 – |–26| = 27 – 26 = 1