Pregunta
ame the place value to which each number was rerumed.
Ask by Davey Craig. in the United States
Nov 19,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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0.546 was rounded to the nearest hundredth, and 4.805 was rounded to the nearest tenth.
Solución
To determine the place value to which each number was rounded, we can look at the digits involved in the rounding process.
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For 0.546 rounded to 0.55:
- The number 0.546 is rounded to the nearest hundredth (the second decimal place).
- The digit in the hundredths place is 4 (in 0.54), and the digit in the thousandths place is 6. Since 6 is 5 or greater, we round up the 4 to 5.
- Therefore, 0.546 was rounded to the nearest hundredth.
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For 4.805 rounded to 4.8:
- The number 4.805 is rounded to the nearest tenth (the first decimal place).
- The digit in the tenths place is 8 (in 4.8), and the digit in the hundredths place is 0. Since 0 is less than 5, we do not round up the 8.
- Therefore, 4.805 was rounded to the nearest tenth.
In summary:
- 0.546 was rounded to the nearest hundredth.
- 4.805 was rounded to the nearest tenth.
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Simplifique esta solución Extra Insights
When rounding 0.546 to 0.55, we round to the hundredths place. The digit in the thousandths place, which is 6, tells us to round up, thereby increasing the value in the hundredths place from 4 to 5. So, 0.546 is rounded based on the hundredths position.
In the case of 4.805 rounding to 4.8, we also round to the tenths place. Here, the digit in the hundredths place is 0, which means we don’t round up the 8, so it stays as 4.8. This demonstrates the importance of knowing which place value you’re rounding to in order to make the correct decision!
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