<\/p>\n\n\n\n
The order of magnitude of a physical quantity is that power of 10 which is closest to its magnitude. It gives an idea about how big or how small a given physical quantity is.<\/p>\n\n\n\n
To determine the order of magnitude of a number N, we first express it as<\/p>\n\n\n\n
N = n \u00d7 10x<\/sup>.<\/p>\n\n\n\n If 0.5 < n \u2264 5, then x will be the order of magnitude of N.<\/p>\n\n\n\n Few examples are illustrated in table given below:<\/p>\n\n\n\n Table: Order of magnitude<\/strong><\/p>\n\n\n\n Question:<\/strong> <\/p>\n\n\n\n Write the order of magnitude of the following measurements:<\/p>\n\n\n\n (i) 25,710,000 m (ii) 0.00000521 kg.<\/p>\n\n\n\n Solution: <\/strong><\/p>\n\n\n\n We first express each number in terms of nearest power of 10.<\/p>\n\n\n\n (i) 25,710,000 m =2.571 \u00d7 107<\/sup> m<\/p>\n\n\n\n As 0.5 < 2.571 < 5<\/p>\n\n\n\n \u2234 Order of magnitude = 7.<\/p>\n\n\n\n (ii) 0.00000521 kg = 0.521 \u00d7 10-5<\/sup>kg<\/p>\n\n\n\n As 0.5 < 0.521 < 5 \u2234 Order of magnitude = -5.<\/p>\n\n\n\n Question:<\/strong> <\/p>\n\n\n\n Write the order of magnitude of the following:<\/p>\n\n\n\n (i) 8 <\/p>\n\n\n\n (ii) 49 <\/p>\n\n\n\n (iii) 52 <\/p>\n\n\n\n (iv) 999<\/p>\n\n\n\n (v) 1001 <\/p>\n\n\n\n (vi) 753000 <\/p>\n\n\n\n (vii) 0.05 <\/p>\n\n\n\n (viii) 0.99.<\/p>\n\n\n\n Ans:<\/strong> 1, 1, 2, 3, 3, 6, – 2, 0<\/p>\n\n\n\n Table: Orders of Magnitude of length<\/strong><\/p>\n\n\n\n The order of magnitude of a physical quantity is that power of 10 which is closest to its magnitude. It gives an idea about how big or how small a given physical quantity is. To determine the order of magnitude of a number N, we first express it as N = n \u00d7 10x. If … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"_links":{"self":[{"href":"https:\/\/successrouter.com\/articles\/wp-json\/wp\/v2\/posts\/78"}],"collection":[{"href":"https:\/\/successrouter.com\/articles\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/successrouter.com\/articles\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/successrouter.com\/articles\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/successrouter.com\/articles\/wp-json\/wp\/v2\/comments?post=78"}],"version-history":[{"count":3,"href":"https:\/\/successrouter.com\/articles\/wp-json\/wp\/v2\/posts\/78\/revisions"}],"predecessor-version":[{"id":91,"href":"https:\/\/successrouter.com\/articles\/wp-json\/wp\/v2\/posts\/78\/revisions\/91"}],"wp:attachment":[{"href":"https:\/\/successrouter.com\/articles\/wp-json\/wp\/v2\/media?parent=78"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/successrouter.com\/articles\/wp-json\/wp\/v2\/categories?post=78"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/successrouter.com\/articles\/wp-json\/wp\/v2\/tags?post=78"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Measure number N<\/td> Expressed in nearest power of 10<\/td> Order of magnitude<\/td><\/tr> 8<\/td> 0.8 \u00d7 101<\/sup><\/td> 1<\/td><\/tr> 49<\/td> 4.9 \u00d7 101<\/sup><\/td> 1<\/td><\/tr> 52<\/td> 0.52 \u00d7 102<\/sup><\/td> 2<\/td><\/tr> 555<\/td> 0.555 \u00d7 103<\/sup><\/td> 3<\/td><\/tr> 999<\/td> 0.999 \u00d7 103<\/sup><\/td> 3<\/td><\/tr> 1001<\/td> 1001\u00d7io3<\/sup><\/td> 3<\/td><\/tr> 753000<\/td> 0.753 \u00d7 106<\/sup><\/td> 6<\/td><\/tr> 0.135<\/td> 1.35 \u00d7 10-1<\/sup><\/td> -1<\/td><\/tr> 0.05<\/td> 5 \u00d7 10-2<\/sup><\/td> -2<\/td><\/tr> 0.99<\/td> 0.99 \u00d7 100<\/sup><\/td> 0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n S. No.<\/strong><\/td> Size of object or distance<\/strong><\/td> Length (m)<\/strong><\/td><\/tr> 1.<\/td> Radius of a proton<\/td> 10-15<\/sup><\/td><\/tr> 2.<\/td> Size of atomic nucleus<\/td> 10-14<\/sup><\/td><\/tr> 3.<\/td> Size of hydrogen atom<\/td> 10-10<\/sup><\/td><\/tr> 4.<\/td> Size of typical virus<\/td> 10-8<\/sup><\/td><\/tr> 5.<\/td> Wavelength of light<\/td> 10-7<\/sup><\/td><\/tr> 6.<\/td> Size of red blood corpuscle<\/td> 10-5<\/sup><\/td><\/tr> 7.<\/td> Thickness of a paper<\/td> 10-4<\/sup><\/td><\/tr> 8.<\/td> Height of a person<\/td> 100<\/sup><\/td><\/tr> 9.<\/td> Height of Mount Everest<\/td> 104<\/sup><\/td><\/tr> 10.<\/td> Radius of the earth<\/td> 107<\/sup><\/td><\/tr> 11.<\/td> Distance of the moon from the earth<\/td> 108<\/sup><\/td><\/tr> 12.<\/td> Radius of the sun<\/td> 109<\/sup><\/td><\/tr> 13.<\/td> Distance of the sun from the earth<\/td> 1011<\/sup><\/td><\/tr> 14.<\/td> Distance of Pluto from the earth<\/td> 1013<\/sup><\/td><\/tr> 15.<\/td> Size of Milkway<\/td> 1021<\/sup><\/td><\/tr> 16.<\/td> Distance to Andromeda galaxy<\/td> 1022<\/sup><\/td><\/tr> 17.<\/td> Distance to the boundary of observable universe<\/td> 1026<\/sup><\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"