Question

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

Answer 1

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

Further Explanation

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:

• 1. all non-zero numbers are significant numbers

• 2. a zero which is located between two non-zero numbers including a significant number

• 3. all zeros are located in the final row written behind the decimal point include significant number

• 4. zero decimal point is not significant number

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  

• 1. Multiplication of significant number2.5 x 3.5 = 8.75

• 2. a big order   multiplication 10¹⁰ x 10⁻⁷ = 10¹⁰⁻⁷ = 10³

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)

Learn more

significant figures brainly.com/question/11151926

significant figures in the following number: 5.67 x 106 brainly.com/question/7539478

the number of significant figures is 0.025 brainly.com/question/10343704

0.080 significant figures brainly.com/question/1999241

the fewest number of significant figures brainly.com/question/11464470

Answer 2

Answer :  The answer will be $8.6\times 10^3$

Explanation :

Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

The rule apply for the multiplication and division is :

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

The product of $(2.5\times 10^{10})\times (3.5\times 10^{-7})$

$\Rightarrow 8.6\times 10^3$

In the given expression, 2.5 has 2 significant figures and 3.5 has 2 significant figures. From this we conclude that 2 is the least significant figures in this problem. So, the answer should be in 2 significant figures.

Thus, the answer will be $8.6\times 10^3$