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Zorluk: KolayScientific Notation

A high-efficiency water filter is designed to block microscopic particles that are 0.000720.00072 meters in diameter. How is this measurement expressed in scientific notation?

  1. A
    7.2×10−37.2 \times 10^{-3}
  2. 7.2×10−47.2 \times 10^{-4}Cevap
  3. C
    7.2×1047.2 \times 10^4
  4. D
    72×10−572 \times 10^{-5}

Cevap

The correct measurement in scientific notation is 7.2×10−47.2 \times 10^{-4}.
To convert 0.000720.00072 to scientific notation, the decimal point must be moved 44 places to the right to create a valid coefficient of 7.27.2. Because the original number is less than 11, the exponent is negative, resulting in 7.2×10−47.2 \times 10^{-4}.

Adım Adım Çözüm

1
Identify the non-zero digits to create a coefficient that is greater than or equal to 11 and less than 1010.
The coefficient is 7.27.2.
Scientific notation requires a single non-zero digit to the left of the decimal point.
2
Count the number of places the decimal point must move to change the original number (0.000720.00072) into the coefficient (7.27.2).
The decimal point moves 44 places to the right.
The number of places moved determines the numerical value of the exponent.
3
Determine the sign of the exponent based on the original number's size.
The exponent is −4-4.
Because the original number (0.000720.00072) is a decimal less than 11, the exponent must be negative.

Anahtar Kavram

Converting small decimal numbers into scientific notation using negative exponents.
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Scientific Notation

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