Please help me solve this problem

Question

asked Sep 21, 2024 193k views

2 Answers

Tesgoe · Answer 1 · 2024-09-26T22:21:16+0000

Answer:

Scientific notation: 5.4961 × 10²

Standard form: 549.61

Explanation:

Scientific notation is written in the form
a* 10^n , where
$1 \leq a < 10$ and
is any positive or negative whole number.

To subtract two numbers in scientific notation, first write the numbers in the same form, with the same exponent (power of 10).

To convert 3.9 × 10⁻¹ so that the base 10 has an exponent of 2, move the decimal point 3 places to the left and add 3 to the exponent:

$\implies 3.9 * 10^(-1) = 0.0039 * 10^2$

Therefore, we now have:

5.5 * 10^2 - 0.0039 * 10^2

Factor out the common term 10⁻¹:

$\implies (5.5 - 0.0039) * 10^2$

Subtract the numbers:

$\implies 5.4961 * 10^2$

The answer has been given in scientific notation. If the answer should be in standard form then:

$\implies 5.4961 * 10^2=549.61$