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Question

Fill in the blanks.
(i) 360000 written in standard form is .........
(ii) 0.0000123 written in standard form is .........
(iii) -23-2=.........
(iv) 3 × 10−3 in usual form is .........
(v) 5.32 × 10−4 in usual form is .........

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Solution

(i) The standard form of 36000 is 3.6×105.
360000=36×104=3.6×10×104=3.6×101+4=3.6×105

(ii) The standard form of 0.0000123 is 1.23×10-5.
0.0000123=12310000000=123107=1.23×100107=1.23×102107=1.23×102-7=1.23×10-5

(iii) -23-2=94
-23-2=3-22=32-22=94

(iv)The usual form of 3×10-3 is 0.003.
3×10-3=3103=31000=0.003

(v) The usual form of 5.32×10-4 is 0.000532.
5.32×10-4 =5.32104=5.3210000=0.000532

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