Question

0.00875 equals:

A. 8.75 × 10⁻²
B. 8.75 × 10⁻³
C. 8.75 × 10⁻⁴
D. 87.5 × 10⁻³
E. 875 × 10⁻⁴

Answer 1

Answer:

Simple question your answer is B

Answer 2

Answer:

0.00875 equals to 8.75 × 10⁻³.

So option B is the correct answer.

Step-by-step explanation:

Here given number is 0.00875.

By option test we can find the required answer.

Option -A:

$8.75 \times {10}^{ - 2} \\ = \frac{8.75}{100} \\ = 0.0875$

Option-B:

$8.75 \times {10}^{ - 3} \\ = \frac{8.75}{1000} \\ = 0.00875$

Option -C:

$8.75 \times {10}^{ - 4} \\ = \frac{8.75}{10000} \\ = 0.000875$

Option -D:

$87.5 \times {10}^{ - 3} \\ = \frac{87.5}{1000} \\ = 0.0875$

Option -E:

$875 \times {10}^{ - 4} \\ = \frac{875}{10000} \\ = 0.0875$

By all options test,we can say

$8.75 \times {10}^{ - 3}$ is equal to 0.00875.

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

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2) https://brainly.in/question/1169549