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Maria learned in science class that the closest distance between the Moon and Earth is 221,436 miles. In scientific notation, which expression BEST approximates this distance?

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Answer:

The number 221,436 in scientific notation is 2.21436 x 10⁵.

Explanation:

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. These numbers must be between 1-10

  • => 221,436 = 22,143.6 x 10¹

This number is too large. The number must be between 1 and 10.

  • => 22,143 x 10¹ = 2,214.36 x 10²

This number is too large. The number must be between 1 and 10.

  • 2,214.36 x 10² = 221.436 x 10³

This number is too large. The number must be between 1 and 10.

  • 221.436 x 10³ = 22.1436 x 10⁴

This number is too large. The number must be between 1 and 10.

  • 22.1436 x 10⁴ = 2.21436 x 10⁵

This number is perfect. It is between 1 and 10.

Hence, the number 221,436 in scientific notation is 2.21436 x 10⁵.

Hoped this helped.


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