IM Alg2.3.12 Practice: Arithmetic with Complex Numbers

Write each expression in the form a+bi, where a and b are real numbers.

You may plot the numbers in the complex plane as a guide.[br][list][*][math]2\cdot\sqrt{\text{-}4}[/math][br][/*][*][math]3i\cdot2i[/math][/*][*][math]i^4[/math][/*][*][math]4-3\sqrt{\text{-}1}[/math][/*][/list]

[size=150]Which expression is equivalent to [math](3+9i)-(5-3i)[/math]?[/size]

[math]15+27i[/math] [math]15-27i[/math] [math]\text{-}2-12i[/math] [math]\text{-}2+12i[/math]

[size=150]What are [math]a[/math] and [math]b[/math] when you write[math]\sqrt{\text{-}16}[/math] in the form [math]a+bi[/math], where [math]a[/math] and [math]b[/math] are real numbers?[/size]

[math]a=\text{-}4,b=0[/math] [math]a=0,b=\text{-}4[/math] [math]a=0,b=4[/math] [math]a=4,b=0[/math]

Fill in the boxes to make a true statement:

Plot each number on the real number line, or explain why the number is not on the real number line.

[list][*][math]\sqrt{16}[/math][/*][*][math]-\sqrt{16}[/math][/*][*][math]\sqrt{\text{-}16}[/math][/*][*][math]56^{\frac{1}{2}}[/math][/*][*][math]-56^{\frac{1}{2}}[/math][/*][*][math](-56)^{\frac{1}{2}}[/math][/*][/list]

[size=150]Which expression is equivalent to [math]\sqrt{\text{-}4}[/math]?[/size]

[math]2i[/math] [math]-2i[/math] [math]-4i[/math] [math]4i[/math]

IM Alg2.3.12 Practice: Arithmetic with Complex Numbers

Write each expression in the form a+bi, where a and b are real numbers.

Fill in the boxes to make a true statement:

Plot each number on the real number line, or explain why the number is not on the real number line.

Information: IM Alg2.3.12 Practice: Arithmetic with Complex Numbers