5. Calculate without the use of a calcurator. a) \( 350 \div[35 \times(-10)] \) b) \( 1,5 \times 3-(14-18) \) c) \( \sqrt{81} \times(24 \div 6) \) d) \( 10 \% \) of 122
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The Deep Dive
Let's break this down step by step! For part a), we have \( 350 \div [35 \times (-10)] \). First, calculate \( 35 \times (-10) = -350 \). Then, \( 350 \div -350 = -1 \). For part b), we need to compute \( 1.5 \times 3 - (14 - 18) \). First, \( 1.5 \times 3 = 4.5 \) and \( (14 - 18) = -4 \). So, \( 4.5 - (-4) = 4.5 + 4 = 8.5 \). For part c), we're finding \( \sqrt{81} \times (24 \div 6) \). Since \( \sqrt{81} = 9 \) and \( 24 \div 6 = 4 \), this gives us \( 9 \times 4 = 36 \). Lastly, part d) involves finding \( 10\% \) of 122. To do this, you multiply \( 122 \times 0.10 = 12.2 \). In summary: a) -1 b) 8.5 c) 36 d) 12.2