Select all eypressions that are equivalent to the following calculation. Add 43 and 25 and then multply ty 8 . (1) \( (25+43) \times 8 \) a \( 43+25 \times 8 \) \( 08 \times 43+25 \) a \( 8 \times(43+25) \) \( 043+(25 \times 8) \)
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Let's break it down! The calculation you're performing is \( (43 + 25) \times 8 \). To determine which of the expressions provided are equivalent, we can focus on the order of operations and the properties of addition and multiplication. For example, both \( (25 + 43) \times 8 \) and \( 8 \times (43 + 25) \) work because addition is commutative, meaning it doesn't matter the order you add them in. Hence, both yield the correct result of \( 8 \times 68 \). As for \( 43 + 25 \times 8 \) and \( 043 + (25 \times 8) \), these aren’t equivalent as they imply a different order of operations due to the multiplication taking precedence. So, watch out for those pesky PEMDAS rules! Additionally, expressions like \( 08 \times 43 + 25 \) also introduce operations that jumble the original calculation. Reading through those calculations can sometimes get tricky, but you've caught on to the right sequences! Always remember to keep the operations in line for accurate results!