QuestionApril 23, 2025

21 . Higher Order Thinking Rena knows a dollar coin has a mass of a little less than 10 grams. She guesses that 1 kilogram of dollar coins would be worth over a million dollars.Is this prediction reasonable?Explain your thinking.

21 . Higher Order Thinking Rena knows a dollar coin has a mass of a little less than 10 grams. She guesses that 1 kilogram of dollar coins would be worth over a million dollars.Is this prediction reasonable?Explain your thinking.
21 . Higher Order Thinking Rena knows
a dollar coin has a mass of a little less
than 10 grams. She guesses that 1
kilogram of dollar coins would be worth
over a million dollars.Is this prediction
reasonable?Explain your thinking.

Solution
4.0(240 votes)

Answer

100 Explanation 1. Convert kilograms to grams 1 kilogram = 1000 grams 2. Estimate the number of coins in 1 kilogram Each coin is approximately 10 grams, so \frac{1000 \text{ grams}}{10 \text{ grams/coin}} = 100 \text{ coins} 3. Calculate the value of 100 coins Each dollar coin is worth 1, so 100 \text{ coins} \times \1/\text{coin} = \100 4. Compare with the prediction Rena's prediction of over a million dollars is not reasonable.

Explanation

1. Convert kilograms to grams<br /> 1 kilogram = 1000 grams<br /><br />2. Estimate the number of coins in 1 kilogram<br /> Each coin is approximately 10 grams, so $ \frac{1000 \text{ grams}}{10 \text{ grams/coin}} = 100 \text{ coins}$<br /><br />3. Calculate the value of 100 coins<br /> Each dollar coin is worth $1, so $100 \text{ coins} \times \$1/\text{coin} = \$100$<br /><br />4. Compare with the prediction<br /> Rena's prediction of over a million dollars is not reasonable.
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