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Explain the meaning of zero in each situation. (1) a 1) a drop of 200 feet-200 3. earn 10 points +10 5. gain 2 pounds +2 NAME merville DATE 2. an expansion of 3 cubic meters (4) 4. reduce by 8 inches 6. a drop of 7 degrees PERIOD umber line -8 - 7
Explain the meaning of zero in each situation. (1) a 1) a drop of 200 feet-200 3. earn 10 points +10 5. gain 2 pounds +2 NAME merville DATE 2. an expansion of 3 cubic meters (4) 4. reduce by 8 inches 6. a drop of 7 degrees PERIOD umber line -8 - 7
Final answer:Zeros can serve as placekeepers, signify significant figures, or indicate measurement precision. The presence or absence of a decimal point and the context can change the significance of zeros in a number. Choosing the right units for measurements is context-dependent and corresponds to the desired precision.Explanation:The zeros in different numerical contexts have varying meanings. They can function as placekeepers, significant figures, or indicate the precision of a measurement. In the case of a number like -200, the zeros are placekeepers that stabilize the decimal point's position, indicating the value is precisely two hundred, not just an estimate. When dealing with measurements, such as an expansion of 3 cubic meters represented as '3.00', the trailing zeros after the decimal point are significant figures. They indicate the measurement's precision and that the value has been measured to the hundredths place. This differs from a number like 1700, where, without a decimal point, the trailing zeros are not significant; they are simply value placeholders.Significant figures become particularly important in scientific measurements, as they inform us about the accuracy and precision of these measurements. For example, a value like '1700.00' with a decimal point includes, by convention, all zeros as significant, reflecting a high level of precision. Additionally, smaller units often use leading zeros (zeros to the left of a decimal point), such as '0.01', where the zero helps to clearly demarcate the decimal point.To choose appropriate units for various measurements, one must consider the context and the level of detail required. For instance, the distance between two towns is typically measured in kilometers or miles, the weight of a peanut might be given in grams, the length of a hand in centimeters, and the volume of a raindrop in milliliters....