Question

How many times smaller is 4 × 10^-7 than 3.5 × 10^-4?​

Answer 1

`\sf = \: 3.5 * {10}^(- 4) / 4 * {10}^( - 7) \\ \sf = \: 3.5 / 4 * {10}^(- 4) / {10}^( - 7) \\ \sf = 0.875 * {10}^( - 4 - (7)) \\ \sf = 0.875 * {10}^( - 4 + 7) \\ \sf = 0.875 * {10}^(3) \\ \sf \: = 8.75 * {10}^(2)\\ \bf 875`

8.75×10² times smaller is 4 × 10^-7 than 3.5 × 10^-4.

Answer 2

The answer is 875 times smaller is 4 x 10−7 than 3.5 x 10−4.

Explanation:

What is the arithmetic operator?

Summarization, subtraction, division, and multiplication are the four fundamental mathematical operations covered under the term "arithmetic operators."

Summation is the process of adding two or more objects or variables.

For instance, 2 + 8 + 9

Subtraction is the negative of any two or more numbers added together.

For instance, 4 - 8

Division is the division of any two numbers or variables.

For instance, 4/8

Multiplication is the act of multiplying any two or more integers or variables.

For instance, 5 + 7.

Given the two numbers 3.5 x 104 and 4 x 107

Let's divide this now.

⇒ (3.5 x 10−4)/(4 x 10−7)

⇒ (35/40) × 10³

⇒ 875

In light of this, "The 875 times smaller is 4 x 107 than 3.5 x 10-4".

Hope this helps!