Question

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, 7.9×10−2m could be written either as 7.9 cm or 79 mm.

(a) 7.59×107m;
(b) 0.0074 m;
(c) 8.8×10−11m;
(d) 1.63×1013m.

Answer 1

Lengths rewritten with metric prefixes are (a) 75.9 Mm, (b) 7.4 mm, (c) 88 pm, and (d) 16.3 Gm, ensuring the numerical values lie between one and 1000, following the metric system.

Step-by-step explanation:

The task is to use metric prefixes to rewrite given lengths so that their numerical values are greater than one but less than 1000. Here's the conversion of the given lengths:

• (a) 7.59 × 107m can be written as 75.9 megameters (Mm), since 1 Mm equals 106m.
• (b) 0.0074 m can be written as 7.4 millimeters (mm), since 1 mm is 10-3m.
• (c) 8.8 × 10-11m can be written as 88 picometers (pm), since 1 pm equals 10-12m.
• (d) 1.63 × 1013m can be written as 16.3 gigameters (Gm), since 1 Gm equals 109m.