Question

Be sure to answer all parts and enter your answers in scientific notation. Write the 1 g equivalents using the following prefixes: (a) mega−, (b) kilo−, (c) deci−, (d) centi−, (e) milli−, (f) micro−, (g) nano−, (h) pico−. (a) 1 g = × 10 megagrams (b) 1 g = × 10 kilograms (c) 1 g = × 10 decigrams (d) 1 g = × 10 centigrams (e) 1 g = × 10 milligrams (f) 1 g = × 10 micrograms (g) 1 g = × 10 nanograms (h) 1 g = × 10 picograms

Answer 1

To convert 1 gram to different metric prefixes in scientific notation, we use the powers of ten specific to each prefix, ensuring the numeric value is between 1 and 1000. The result is megagrams (1e-6), kilograms (1e-3), decigrams (1e1), centigrams (1e2), milligrams (1e3), micrograms (1e6), nanograms (1e9), and picograms (1e12).

Step-by-step explanation:

The task involves converting the mass of 1 gram into various metric prefixes and expressing them in scientific notation, where the numeric value is greater than one but less than 1000. The prefixes include mega, kilo, deci, centi, milli, micro, nano, and pico. Below are the conversions using the appropriate powers of ten to express 1 gram in the specified units:

• (a) 1 g = 1 × 10-6 megagrams (Mg)
• (b) 1 g = 1 × 10-3 kilograms (kg)
• (c) 1 g = 1 × 101 decigrams (dg)
• (d) 1 g = 1 × 102 centigrams (cg)
• (e) 1 g = 1 × 103 milligrams (mg)
• (f) 1 g = 1 × 106 micrograms (μg)
• (g) 1 g = 1 × 109 nanograms (ng)
• (h) 1 g = 1 × 1012 picograms (pg)

Answer 2

Step-by-step explanation:

Gram is unit which is used to expressed mass of a substance. Many other units can be used to express the mass of a substance. All the units are inter changeable.

Conversion factors used to convert the units are:

(a) Gram to mega gram

`1g=1* 10^(-6)Mg`

(b) Gram to kilo gram

`1g=1* 10^(-3)kg`

(c) Gram to deci gram

`1g=1* 10^(1)1dg`

(d) Gram to centi gram

`1g=1* 10^(2)cg`

(e) Gram to mili gram

`1g=1* 10^(3)mg`

(f) Gram to micro gram

`1g=1* 10^(6)\mu g`

(g) Gram to nano gram

`1g=1* 10^(9)ng`

(h) Gram to pico gram

`1g=1* 10^(12)pg`

Hence, the conversion factors for gram equivalents are given above.