Question

Write each of the following numbers in usual form:
(i) 3.74 × 10⁵
(ii) 6.912 × 10⁸
(iii) 4.1253 × 10⁷
(iv) 2.5 × 10⁴
(v) 5.17 × 10⁶
(vi) 1.679 × 10⁹

Answer 1

(i) $3.74\times {10}^5=\frac{374}{100}\times {10}^5=\frac{374\times {10}^5}{{10}^2}=374\times {10}^{(5-2)}=374\times {10}^3=374000$
(ii) $6.912\times {10}^8=\frac{6912}{1000}\times {10}^8=\frac{6912\times {10}^8}{{10}^3}=6912\times {10}^{(8-3)}=6912\times {10}^5=691200000$
(iii) $4.1253\times {10}^7=\frac{41253}{10000}\times {10}^7=\frac{41253\times {10}^7}{{10}^4}=41253\times {10}^{(7-4)}=41253\times {10}^3=41253000$
(iv) $2.5\times {10}^4=\frac{25}{10}\times {10}^4=\frac{25\times {10}^4}{10}=25\times {10}^{(4-1)}=25\times {10}^3=25000$
(v) $5.17\times {10}^6=\frac{517}{100}\times {10}^6=\frac{517\times {10}^6}{{10}^2}=517\times {10}^{(6-2)}=517\times {10}^4=5170000$
(vi) $1.679\times {10}^9=\frac{1679}{1000}\times {10}^9=\frac{1679\times {10}^9}{{10}^3}=1679\times {10}^{(9-3)}=1679\times {10}^6=1679000000$