Question

Find the modulus for the complex number, -3 +5i. Round to the nearest tenth.

Answer 1

the modulus of the complex number -3 + 5i, rounded to the nearest tenth, is approximately 5.8.

Explanation:

For the complex number -3 + 5i, the modulus is given by:

| -3 + 5i | = √((-3)^2 + 5^2)

| -3 + 5i | = √(9 + 25)

| -3 + 5i | = √34

Rounding √34 to the nearest tenth, we get:

| -3 + 5i | ≈ 5.8

Therefore, the modulus of the complex number -3 + 5i, rounded to the nearest tenth, is approximately 5.8.

Answer 2

Explanation:

To find the modulus for the complex number, we need to use the absolute value formula. The modulus or absolute value of a complex number is the distance between the origin and the point representing the complex number in the complex plane.We can use the formula:

|z| = sqrt(x^2 + y^2)

where x and y are the real and imaginary parts of the complex number, respectively.

Given that the complex number is -3+5i, we can substitute in the values of x and y to the formula:

|z| = sqrt((-3)^2 + (5)^2)

|z| = sqrt(9 + 25)

|z| = sqrt(34)

|z| ≈ 5.8

Rounded to the nearest tenth, the modulus of -3+5i is approximately 5.8.