Final answer:
To order these numbers from least to greatest, compare the coefficients and keep the powers of 10 as they are.
Step-by-step explanation:
- 2.74 x 10⁸
- 2.8 x 10⁸
- 2.25 x 10⁹
When ordering numbers written in scientific notation, we compare the values of the coefficients. In this case, 2.74 is the smallest, followed by 2.8, and then 2.25. The powers of 10 do not affect the order, so we keep them as they are. Therefore, the correct order from least to greatest is 2.74 x 10⁸, 2.8 x 10⁸, and 2.25 x 10⁹.
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Final answer:
To order the numbers from least to greatest, compare both the exponents and the coefficients. The correct order is 2.74 x 10⁸, 2.8 x 10⁸, 2.25 x 10⁹, which corresponds to answer option B.
Step-by-step explanation:
To order the numbers 2.25 x 10⁹, 2.74 x 10⁸, and 2.8 x 10⁸ from least to greatest, we need to compare their exponents first and then look at the coefficients if the exponents are the same. The largest exponent represents the largest number.
First, we have 2.74 x 10⁸ and 2.8 x 10⁸, both with the exponent of 8. Between these two, 2.74 is less than 2.8, so 2.74 x 10⁸ is less than 2.8 x 10⁸. Now we compare these with 2.25 x 10⁹. Since the exponent 9 is greater than 8, 2.25 x 10⁹ represents a number that is larger than both 2.74 x 10⁸ and 2.8 x 10⁸.
Therefore, the numbers in order from least to greatest are: 2.74 x 10⁸, 2.8 x 10⁸, 2.25 x 10⁹. Hence, the correct answer is option B) 2.74 x 10⁸, 2.8 x 10⁸, 2.25 x 10⁹.