adding and subtracting complex numbers

Front

Define complex numbers.

Back

Complex numbers are numbers that have a real part and an imaginary part, expressed in the form a + bi, where a is the real part, b is the imaginary part, and i is the imaginary unit (i = √-1).

Tags

CCSS.HSN.CN.A.1

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1, which means i² = -1.

Tags

CCSS.HSN.CN.A.1

Front

How do you add complex numbers?

Back

To add complex numbers, combine their real parts and their imaginary parts separately. For example, (a + bi) + (c + di) = (a + c) + (b + d)i.

Tags

CCSS.HSN.CN.A.2

Front

How do you subtract complex numbers?

Back

To subtract complex numbers, subtract their real parts and their imaginary parts separately. For example, (a + bi) - (c + di) = (a - c) + (b - d)i.

Tags

CCSS.HSN.CN.A.2

Front

Calculate: (4 − 7i) − (-3 + 6i)

Back

7 − 13i.

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CCSS.HSN.CN.A.2

Front

Calculate: -12i + 7i

Back

-5i.

Tags

CCSS.HSN.CN.A.2

Front

Calculate: (1 − 2i) + (-4 + 2i)

Back

-3.

Tags

CCSS.HSN.CN.A.2

Front

What is the result of adding (3 + 4i) + (2 − 3i)?

Back

5 + i.

Tags

CCSS.HSN.CN.A.2

Front

What is the result of subtracting (5 + 2i) − (3 + 4i)?

Back

2 - 2i.

Tags

CCSS.HSN.CN.A.2

Front

If z1 = 2 + 3i and z2 = 1 − 2i, what is z1 + z2?

Back

3 + i.

Tags

CCSS.HSN.CN.A.2