Real numbers

Presentation

•

Mathematics

•

5th - 8th Grade

•

Practice Problem

•

Medium

Jasmijn Jaarsma

Used 16+ times

FREE Resource

15 Slides • 9 Questions

Real numbers

Learning objectives

Today I will learn:

about the real number system
about the difference between rational and irrational numbers

Bar Notation

0.5656565656565656565656...
$\frac{1}{3}$
$0.\overline{3}$ or $0.\overline{33}$

Bar Notation

$x=0.\overline{56}$
$100x=56.\overline{56}$
$100x-x=56.\overline{56}-0.\overline{56}$
$99x=56$
$x=\frac{56}{99}$

Multiple Choice

Which one is greater?

0.3

$0.\overline{3}$

Fill in the Blanks

$0.\overline{45}$

Type answer...

Real Number system

Natural numbers

$N$
counting numbers
1, 2, 3, 4, 5, 6, ...
100,000,000
100,000,000,000

Whole numbers

$W$
natural numbers and 0
0, 1, 2, 3, 4, 5, ...

Integers

$Z$
whole valued positive or negative number or zero.
..., -3, -2, -1, 0, 1, 2, 3, ...

Rational numbers

$Q$
$\frac{a}{b}$
a & b = integers
$b\ne0$

Who am I?

Fill in the Blanks

Who am I

Type answer...

Rational and Irrational Numbers

Rational Numbers

$\frac{a}{b}$

a and b are integers

b\ne0

Open Ended

Is 5 a rational number? Explain your answer.

Type response here

Irrational Numbers

- cannot be written as $\frac{a}{b}$

- decimals never repeat
- decimals never end

Multiple Choice

A repeating decimal is what type of number?

Rational

Irrational

Multiple Choice

A never ending and never repeating decimal is which type of number?

Rational

Irrational

Multiple Choice

0.25

Rational

Irrational

Multiple Choice

$\pi$

Rational

Irrational

Multiple Choice

$0.\overline{21}$

Rational

Irrational

What did you learn?

Real numbers

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