Question Details

Which of the following numbers is written in the standard form ?

Options

A

83.7 ×10-9

B

45×103

C

8.5×10-12

D

0.6×1015

Show Answer

Correct Answer :

Option C

8.5×10-12

Solution :

The correct answer is 8.5×10-12.

Understanding Standard Form (Scientific Notation):
A number is written in standard form (also known as scientific notation) when it is expressed in the format:

m×10n

where:
1. m is a number greater than or equal to 1 and strictly less than 10 (1≤m<10). This means there must be exactly one non-zero digit to the left of the decimal point.
2. n is an integer (positive, negative, or zero).

Evaluating the Given Options:

1. 83.7 × 10-9: Here, m=83.7. Since 83.7 is greater than 10, it is not in standard form.
2. 45 × 103: Here, m=45. Since 45 is greater than 10, it is not in standard form.
3. 8.5 × 10-12: Here, m=8.5. Since 1≤8.5<10, this number satisfies all conditions for standard form.
4. 0.6 × 1015: Here, m=0.6. Since 0.6 is less than 1, it is not in standard form.

Therefore, 8.5×10-12 is the only number written correctly in standard form.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • CTET
  • intermediate
  • No time limit
  • child development and pedagogy, mathematics, social science

  • SSC
  • intermediate
  • 2 hours and 30 mins
  • child development and pedagogy, mathematics, social science

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...