3 A question in a book asks students to write 7058 to three significant figures. One student writes the answer 7050. What mistake has he made? Another student writes the answer 706. What mistake has she made? Write down the correct answer.

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01-01-2024
Mathematics

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3 A question in a book asks students to write 7058 to three significant figures. One student writes the answer 7050. What mistake has he made? Another student writes the answer 706. What mistake has she made? Write down the correct answer.

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sfaoa32 sfaoa32 · Answer 1 · 2024-01-01T19:17:09+01:00

To write 7058 to three significant figures, we need to round the number to the nearest thousand.

1. The student who wrote 7050 made a mistake by rounding down the number. When rounding to the nearest thousand, we look at the digit in the thousands place, which is 0 in this case. Since the digit following 0 is less than 5, we do not round up. Therefore, the correct answer should be rounded down to 7000.

2. The student who wrote 706 made a mistake by rounding to the nearest hundred. When rounding to three significant figures, we look at the digit in the thousands place, which is 7 in this case. Since the digit following 7 is greater than 5, we round up. Therefore, the correct answer should be rounded up to 7100.

3. The correct answer, rounded to three significant figures, is 7000.

To summarize:

- The student who wrote 7050 rounded down incorrectly.

- The student who wrote 706 rounded to the nearest hundred instead of rounding to three significant figures.

- The correct answer is 7000 when rounding to three significant figures.

3 A question in a book asks students to write 7058 to three significant figures. One student writes the answer 7050. What mistake has he made? Another student writes the answer 706. What mistake has she made? Write down the correct answer. ​

Respuesta :

Otras preguntas

3 A question in a book asks students to write 7058 to three significant figures. One student writes the answer 7050. What mistake has he made? Another student writes the answer 706. What mistake has she made? Write down the correct answer.