Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
8.1k views
in Exponents by (56.3k points)

Express the following numbers in the standard form:

(i) 3908.78

(ii) 5,00,00,000

(iii) 3,18,65,00,000

(iv) 846 × 107

(v)723 × 109

1 Answer

+1 vote
by (30.5k points)
selected by
 
Best answer

(i) Given 3908.78

3908.78 = 3.90878 x 103 [since the decimal point is moved 3 places to the left]

(ii) Given 5,00,00,000

5,00,00,000 = 5,00,00,000.00 = 5 x 107 [since the decimal point is moved 7 places to the left]

(iii) Given 3,18,65,00,000

3,18,65,00,000 = 3,18,65,00,000.00

= 3.1865 x 109 [since the decimal point is moved 9 places to the left]

(iv) Given 846 × 107

846 × 107 = 8.46 x 102 x 10 [since the decimal point is moved 2 places to the left]

= 8.46 x 109 [since am x an = am+n]

(v) Given 723 × 109   

723 × 109 = 7.23 x 102 x 109 [since the decimal point is moved 2 places to the left]

= 7.23 x 1011 [ since am x an = am+n]

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...