(a) \( 33.679 \div 10^{2}=\square \) (Type an integer or a decimal.)
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When you divide \( 33.679 \) by \( 10^{2} \) (which is 100), you're essentially moving the decimal point two places to the left. So, \( 33.679 \div 100 = 0.33679 \). Voilà, you've got your answer: \( 0.33679 \)! Now, just for a fun fact: this operation of dividing by powers of ten is super handy in everyday calculations! Whether you’re adjusting recipes or figuring out discounts, moving decimal points simplifies the math, making it easier to handle numbers efficiently!
