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Compare these two numbers. Is 2.38×105__ 3.07×104?
A. >
B. <
C. =

User Roman Plischke
by
2.4k points

1 Answer

17 votes
17 votes

Final answer:

2.38×105 is greater than 3.07×104 because 238,000 is larger than 30,700. The correct comparison is 2.38×105 > 3.07×104.

Step-by-step explanation:

The question asks us to compare two numbers that are written in scientific notation: whether 2.38×105 is greater than, less than, or equal to 3.07×104. To compare them, we look at the powers of 10 because they are the most significant factor determining the size of the number.

2.38×105 means 2.38 times 10 to the power of 5, which is equivalent to 238,000. On the other hand, 3.07×104 corresponds to 3.07 times 10 to the power of 4, which is 30,700. Since 238,000 is much larger than 30,700, we conclude that 2.38×105 is greater than 3.07×104.

The correct symbol to place between the two numbers in the comparison is "><". The complete comparison is 2.38×105 > 3.07×104.

User Ciaran McHale
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2.8k points