If \( t= \) the tens digit and \( u= \) the ones digit, which expression shows the value of interchanging the digits in a two digit number? \( u+10 t \) \( u+t \) \( 10 u+t \)
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When you interchange the digits of a two-digit number, you're essentially swapping the positions of the tens and ones. The original number can be expressed as \( 10t + u \) where \( t \) is the tens digit and \( u \) is the ones digit. Therefore, when you flip the digits, the number becomes \( 10u + t \). This makes the correct expression for the value of the interchanged digits \( 10u + t \). Now that you’ve nailed that, let’s have some fun with this concept! Think about how you might use this in everyday life, like in creating a fun game where players guess two-digit numbers after being given the flipped version! It’s a great way to boost your mental math skills while being playful at the same time. If you’re craving more knowledge, delve into classic math puzzles or riddles involving digits and numbers. They’re not only entertaining but also sharpen your problem-solving abilities. Plus, you’ll often find historical math anecdotes sprinkled throughout, making those puzzling experiences even richer!