Neverending NellTally Crew · numbers, fractions, measurement and shapes

Knits a scarf that never ends: rational and irrational numbers.

The Real Numbers

Rational and irrational numbers. In MathBound, the free Algebra I adventure game, Neverending Nell asks these problems, and the only way past is to solve them.

Part of Expressions and Real Numbers: chapter 1 of the standard course.

Play this battle free

10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Square Roots. Evaluate exact square roots of small perfect squares.
Rational and Irrational Numbers. Classify integers and repeating/terminating decimals as rational or irrational.
Order Real Numbers. Locate positive or negative rational numbers on a number line.

Worked examples

Made by the game’s own question engine. Try each one, then open its steps.

Example 1 · Square Roots

Which

of

these

numbers

is

a

perfect

square?

$169$
$26$
$168$
$170$

Show the worked steps

$A$ $perfect$ $square$ $is$ $a$ $whole$ $number$ $times$ $itself.$
$13 \cdot 13 = 169,$ $so$ $169 = 13 .$

Answer: $169$

Example 2 · Rational and Irrational Numbers

Which

is

the

smallest

set

of

numbers

that

contains

\frac{4}{7} ?

$rational$ $numbers$
$irrational$ $numbers$
$integers$
$whole$ $numbers$

Show the worked steps

$Natural$ $numbers$ $sit$ $inside$ $the$ $whole$ $numbers,$ $then$ $the$ $integers,$ $then$ $the$ $rational$ $numbers.$
$\frac{4}{7}$ $is$ $a$ $fraction$ $of$ $whole$ $numbers,$ $but$ $not$ $an$ $integer.$

Answer: $rational$ $numbers$

Example 3 · Order Real Numbers

Which

number

is

closest

to

0

on

the

number

line?

$1.5$
$4.6$
$2.3$
$- 2.2$

Show the worked steps

$Closest$ $to$ $0$ $means$ $the$ $smallest$ $distance$ $from$ $0,$ $whatever$ $the$ $sign.$
$∣1.5∣ = 1.5$ $is$ $the$ $smallest$ $distance.$

Answer: $1.5$

Where it is in your textbook

Textbook	Lessons
Standard course	1.5
Big Ideas Math Algebra 1	9.1
Big Ideas Math Algebra 1 (2022)	9.1
Carnegie Learning Algebra I	M5 2.5
CPM Core Connections Algebra	10.2.5
enVision Algebra 1	1-1
enVision Algebra 1 (2024)	1-1
Glencoe Algebra 1	0-2, 0-4
HMH Into Algebra 1	1.1
Holt McDougal Larson Algebra 1	2.1
Illustrative Mathematics Algebra 1	7.20-7.21
Illustrative Mathematics Algebra 1 (v.360)	8.20-8.21
Math Nation Algebra 1 (Florida B.E.S.T.)	1.4
OpenStax Elementary Algebra 2e	1.8
Pearson Algebra 1 Common Core	1-3
Reveal Algebra 1	1-3

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