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Number System and Imaginary Numbers

Authored by Nicholas Prear

Mathematics

9th - 12th Grade

Used 5+ times

Number System and Imaginary Numbers
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7 questions

Show all answers

1.

MATCH QUESTION

1 min • 5 pts

Match the following to the BEST (most exact) category that it belongs to

whole number

-4

irrational

0.3‾0.\overline{3}  

rational

5

integer

0

natural number

π\pi  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of real number has the following definitions?

  • - a non-repeating, non-terminating decimal,

  • - cannot be written as a fraction

irrational

prime

rational

imaginary

3.

MULTIPLE SELECT QUESTION

30 sec • 4 pts

The number  16\sqrt{16}  belongs to what number system(s)?

natural number

whole number

integer

rational number

imaginary number

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

The value of π cannot be written as the ratio of two integers. Which statement is true?

π is a rational number.

π is an irrational number.

The decimal expansion of π terminates.

The decimal expansion of π repeats.

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

i

-1

1

-i

6.

MATCH QUESTION

1 min • 5 pts

Match the following non-real roots with their complex number form: a⋅ia\cdot i where aa is a real number.

1225i\frac{12}{25}i

−36\sqrt[]{-36}

35⋅i3\sqrt[]{5}\cdot i

−144625\sqrt[]{-\frac{144}{625}}

5i5i

−45\sqrt[]{-45}

6i6i

−25\sqrt[]{-25}

10i10i

−100\sqrt[]{-100}

7.

MULTIPLE CHOICE QUESTION

30 sec • 3 pts

Solve the equation x2+25=0x^2+25=0

x = ±5i

x = -25

x = ±5

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