{"id":217598,"date":"2023-12-27T19:35:26","date_gmt":"2023-12-27T19:35:26","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/what-is-the-absolute-value-of-4i\/"},"modified":"2023-12-27T19:35:26","modified_gmt":"2023-12-27T19:35:26","slug":"what-is-the-absolute-value-of-4i","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/what-is-the-absolute-value-of-4i\/","title":{"rendered":"What is the absolute value of 4i?"},"content":{"rendered":"

The absolute value, also known as the modulus or magnitude, of a complex number is a measure of its distance from the origin on the complex plane. To find the absolute value of 4i, we need to calculate the magnitude of this complex number.<\/p>\n

A complex number can be expressed in the form a + bi, where “a” and “b” are real numbers and “i” is the imaginary unit (\u221a(-1)). In this case, 4i can be written as 0 + 4i.<\/p>\n

To find the absolute value of 4i, we use the formula:<\/p>\n

|a + bi| = \u221a(a^2 + b^2)<\/p>\n

Applying this formula to 4i, we have:<\/p>\n

|0 + 4i| = \u221a(0^2 + 4^2) = \u221a(0 + 16) = \u221a16 = 4<\/p>\n

Therefore, **the absolute value of 4i is 4**.<\/p>\n

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