1.2 Units and Standards

Restate $4.79 \times 10^{5} \text{kg}$ using a metric prefix such that the resulting number is bigger than one but less than 1000.

Identify some advantages of metric units.

What is the difference between a base unit and a derived unit? (b) What is the difference between a base quantity and a derived quantity? (c) What is the difference between a base quantity and a base unit?

The following times are given in seconds. Use metric prefixes to rewrite them so the numerical value is greater than one but less than 1000. For example, $7.9 \times 10^{−2} \text{s}$ could be written as either 7.9 cs or 79 ms. (a) $9.57 \times 10^{5} \text{s};$ (b) 0.045 s; (c) $5.5 \times 10^{−7} \text{s};$ (d) $3.16 \times 10^{7} \text{s}.$

The following lengths are given in meters. Use metric prefixes to rewrite them so the numerical value is bigger than one but less than 1000. For example, $7.9 \times 10^{−2} \text{m}$ could be written either as 7.9 cm or 79 mm. (a) $7.59 \times 10^{7} \text{m};$ (b) 0.0074 m; (c) $8.8 \times 10^{−11} \text{m};$ (d) $1.63 \times 10^{13} \text{m}.$

The following masses are given in kilograms. Use metric prefixes on the gram to rewrite them so the numerical value is bigger than one but less than 1000. For example, $7 \times 10^{−4} \text{kg}$ could be written as 70 cg or 700 mg. (a) $3.8 \times 10^{−5} \text{kg};$ (b) $2.3 \times 10^{17} \text{kg};$ (c) $2.4 \times 10^{−11} \text{kg};$ (d) $8 \times 10^{15} \text{kg};$ (e) $4.2 \times 10^{−3} \text{kg}.$