Let's go through each part of your request step by step:
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Placing the Decimal Point: The product that does not show a decimal point can be 631070. We have to place the decimal point in such a way that it yields a reasonable value. To express it with decimals:
- Place the decimal point between 0 and 7: 63107.0 (which is 63107)
- Place the decimal point between 7 and 2: 6310.7
- Place the decimal point between 2 and 3: 631.07
- Place the decimal point between 3 and 8: 63.107
Answer: The equivalent decimal forms are 63107, 6310.7, 631.07, and 63.107.
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Finding the Product: For the numbers represented as 631070, if we consider the original product as 631070, it seems you want to know which representation is correct:
- 6,310.7 is a reasonable representation if we treat it as 63107.0 after adding the decimal.
- 63,107 is also valid.
- 631,070 is not implied here since it suggests a larger value.
- 6,310,700 is definitely larger and incorrect.
Answer: The valid representations from this context are 6,310.7 and 63,107.
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Juanita's Earnings: Juanita earns $8.75 per hour and works 23 hours. To calculate her earnings:
\[ Earnings = Hourly Rate \times Hours Worked = 8.75 \times 23 \] \[ Earnings = 201.25 \]
Answer: $201.25
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Estimating the Product of 228 and 11.4: Rounding to the nearest ten:
- 228 rounds to 230.
- 11.4 rounds to 10.
Now, we find the product:
\[ Estimated Product = 230 \times 10 = 2300 \]
To find the exact product:
\[ Actual Product = 228 \times 11.4 = 2599.2 \]
Answer: Estimated product is 2300, and the actual product is 2599.2.
Let me know if you need further assistance!