Math  /  Numbers & Operations

QuestionWrite the number 7,300 in scientific notation.
Answer Attempt 1 out of 2
Answer: \square ×10\times 10 \square Submit Answer

Studdy Solution

STEP 1

1. Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10.
2. The number given is 7,300 7,300 .

STEP 2

1. Identify the significant figures.
2. Determine the power of 10.
3. Write the number in scientific notation.

STEP 3

Identify the significant figures in the number 7,300 7,300 . The significant figures are 7.3 7.3 .

STEP 4

Determine how many places the decimal point needs to be moved to convert 7,300 7,300 into a number between 1 and 10. The decimal point in 7,300 7,300 is after the last zero, so it needs to be moved 3 places to the left to become 7.3 7.3 .

STEP 5

Write the number in scientific notation by combining the significant figures with the power of 10. Since the decimal point was moved 3 places to the left, the power of 10 is 103 10^3 .
7,300=7.3×103 7,300 = 7.3 \times 10^3
The number 7,300 7,300 in scientific notation is:
7.3×103 \boxed{7.3 \times 10^3}

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