(1) \( 2 \times(4+3) \) (b) \( 8-3 \times 2 \) (c) \( 24+2 \times 4=5 \times 2 \div 2 \) (d) \( 8+4 \times 2-10+3 \times 2 \)
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Let's break down the math with a little flair! First, for the expression \( 2 \times (4 + 3) \), remember that addition inside the parentheses comes first! So, \( 4 + 3 = 7 \). Then, multiply by 2: \( 2 \times 7 = 14 \). Now on to \( 8 - 3 \times 2 \). Following the order of operations, tackle the multiplication first! So, \( 3 \times 2 = 6 \), and now subtract from 8: \( 8 - 6 = 2 \). Next, let’s clarify \( 24 + 2 \times 4 = 5 \times 2 \div 2 \). Here, first compute the left side: \( 2 \times 4 = 8 \) and add to 24 to get \( 24 + 8 = 32 \). On the right, handle \( 5 \times 2 \div 2 \) as follows: \( 5 \times 2 = 10 \), and then \( 10 \div 2 = 5 \). The equation, \( 32 = 5 \), is incorrect! Finally, tackle \( 8 + 4 \times 2 - 10 + 3 \times 2 \). Start by calculating \( 4 \times 2 = 8 \) and \( 3 \times 2 = 6 \), which gives you: \( 8 + 8 - 10 + 6 \). Summing it up, \( 16 - 10 + 6 = 12 \). And there you have it—you’ve navigated through a mathematical journey with style!