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Use prefix multipliers to express each measurement without exponents.

a. 38.8 × 10⁵ g

b. 55.2 × 10⁻¹⁰ s

c. 23.4 × 10¹¹ m

d. 87.9 × 10⁻⁷ L

Answer :

(a) 38.8 Mg, (b) 5520 ps, (c) 2340 Gm, (d) 879 nL

To express the given measurements using prefix multipliers without exponents, we will convert each scientific notation into regular metric units.

  1. 38.8 × 10⁵ g:

    • 10⁵ means 100,000.
    • We can express this in megagrams (Mg), where 1 Mg = 10³ g or 1,000 g.
    • Therefore, 38.8 × 10⁵ g = 38.8 × 100,000 g = 38.8 Mg.

  2. 55.2 × 10⁻¹⁰ s:

    • 10⁻¹⁰ means 0.0000000001 seconds.
    • This can be expressed in picoseconds (ps), where 1 ps = 10⁻¹² s.
    • To convert it, we find the equivalent in picoseconds: 55.2 × 10⁻¹⁰ s = 55.2 × 10² ps = 5520 ps.

  3. 23.4 × 10¹¹ m:

    • 10¹¹ means 100,000,000,000 meters.
    • This can be expressed in gigameters (Gm), where 1 Gm = 10⁹ m.
    • Therefore, 23.4 × 10¹¹ m = 23.4 × 100 Gm = 2340 Gm.

  4. 87.9 × 10⁻⁷ L:

    • 10⁻⁷ means 0.0000000879 liters.
    • This can be expressed in nanoliters (nL), where 1 nL = 10⁻⁹ L.
    • Thus, 87.9 × 10⁻⁷ L = 879 × 10⁻⁹ L = 879 nL.

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