Real Number System
Powers Of 10
Ordering Real Numbers
Scientific Notation
Estimating Square Roots
100

This is the smallest main subset of the real number system that includes zero, but does not include negative numbers or fractions.

What are the Whole Numbers?

100

The power of 10 written as 10evaluates to this whole number.

What is 1,000

100

When plotting -4 and -7 on a horizontal number line, this number is further to the right, making it the greater value

What is -4?

100

In scientific notation, a number is written as a * 10, where the factor a must be greater than or equal to 1, but strictly less than this number.

What is 10?

100

The square root of 25 is exactly 5 because this operation performed on 5 equals 25.

What is multiplying 5 by itself (or 52 / squaring 5)?

200

The number $0.333...$ (1/3) is rational because it repeats, while pi and the square root of 2 belong to this group because their decimal expansions neither terminate nor repeat.

What are Irrational Numbers?

200

A negative exponent indicates a reciprocal, so 10-1 is equivalent to this fraction or decimal.

What is 1/10 (or 0.1)?

200

To easily compare numbers like 3/4 , 78%, and 0.72, it is usually easiest to convert all of them into this common format.

What are decimals?

200

Written in standard form, the scientific notation expression 4.5 * 103 equals this whole number.

What is 4,500?

200

Without using a calculator, the square root of 50 lies between these two consecutive whole numbers.

What are 7 and 8?

300

The number $-15$ belongs to this set of numbers, which includes all whole numbers and their opposites, but does not include non-repeating or non-terminating decimals.

What are Integers?

300

Evaluating 10-4 gives a decimal with this total number of digits to the right of the decimal point.

What is 4? (The value is 0.0001)

300

Between the numbers sqrt{15} and 4, this number has the greater value.

What is 4?

300

Very small numbers use negative exponents in scientific notation. Written in standard form, 2.1 * 10-3 is equivalent to this decimal.

What is 0.0021?

300

The value of the square root of 80 is closest to this single whole number.

What is 9?

400

All of the subsets of the number 35/7

What is Natural,Whole,Integer,& Rational 

400

To make the value 0.00001 equal to a single power of 10, this integer must be used as the exponent.

What is -5? (Since 10-5 = 0.00001)

400

Placed in order from least to greatest, the set [sqrt{9}, 3.5, 3 1/5]begins with this number.

What is sqrt{9}?

400

The distance from Earth to the Sun is approximately 93,000,000 miles. Expressed in scientific notation, this distance is written as this.

What is 9.3 * 107?

400

To the nearest tenth, square root of 10 is approximately equal to this decimal value.

What is 3.2?

500

Square roots of perfect squares (like the square root of 36)are rational, but square roots of non-perfect squares (like the square root of 20) belong to this specific subset of real numbers.

What are Irrational Numbers?


500

The number 0.0001 is equal to 10x. This is the value of the exponent x.

What is -4?

500

Arranged in order from least to greatest, this is the correct sequence for the list: pi, sqrt{10}, 3.14, 3 1/5. 

What is 3.14, pi, sqrt{10}, 3 1/5?

500

The diameter of a red blood cell is about 0.000007 meters. Written in scientific notation, it is expressed as this.

What is 7 * 10-6?

500

Located between whole numbers 3 and 4, the expression the square root of 12 is closer to 3 than to 4 because 12 is closer to this perfect square than to 16.

What is 9?