What is the result of multiplying (2.5 × 1010) × (3.5 × 10-7)? use the correct number of significant digits.

the result of multiplying (2.5 × 10¹⁰) and (3.5 × 10⁻⁷) is 8.8.10³ (cause the result must have 2 significant number)

Significant numbers are numbers obtained from the measurement results of exact numbers and the last number estimated

In scientific notation, all numbers are displayed before the big order is called significant numbers

the scientific notation can be described as:

a, ... x 10ⁿ

a, ... called an important number

10ⁿ is called a big order

Rules for significant numbers in general:

In the question it is known that (2.5 × 10¹⁰) and (3.5 × 10⁻⁷) both have a significant number in a row 2.5 and 3.5

so that it meets the rule of significant numbers which is multiplication of 2 significant number produces numbers that have the fewest significant numbers,  So the multiplication of the two will produce 2 significant number

So that we do the significant number then proceed a big order  

So the result = 8.75.10³

Because the result must have 2 significant number , the result is 8.8.10³ (8.75 we round up)

significant figures link

significant figures in the following number: 5.67 x 106 link

the number of significant figures is 0.025 link

0.080 significant figures link

the fewest number of significant figures link

oh it is true if thats what you are asking