Problem preview
N-CN.1 Warmup M2-055-A04-V01

Understand i as a number with i^2=-1 and represent complex numbers as a+bi.

Rewrite a simple complex expression in standard form \(a+bi\)

Problem

Rewrite \(3i+5\) in standard complex form \(a+\text{bi}\) by placing the real term first and preserving the imaginary coefficient.

Big Picture

What this problem is really about

Standard complex form places the real term first and the imaginary term second without changing either value. We’ll identify the two term types, use commutativity to reorder them, preserve the imaginary coefficient and sign, and check the resulting a-plus-bi structure.

Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now
Four variants of this problem type
Curriculum context
Course
Math II
Standard
N-CN.1
Category
Number and Quantity
Domain
The Complex Number System
Objective
Understand i as a number with i^2=-1 and represent complex numbers as a+bi.
Problem type
Rewrite a simple complex expression in standard form \(a+bi\)