Question

Which of the following is equivalent to

235,000,000,000?

A2.35 x 10-⁹

B 2.35 x 10-10

C 2.35 x 1011

D 2.35 x 1012

Answer 1

C 2.35 x 10¹¹

Explanation:

You want the number 235,000,000,000 written in scientific notation.

Place value

The exponent of 10 when a number is written in scientific notation is the same as the exponent of 10 for the most significant digit when the number is written in expanded form using exponents.

235,000,000,000 = 2×10¹¹ +3×10¹⁰ +5×10⁹ +0×10⁸ +... +0

The place value multiplier for the most-significant digit is 10¹¹, so this is the multiplier when the number is written in scientific notation.

2.35×10¹¹