Number and Number Sense (N&NS): Compare and Order Real Numbers

Which number is the smallest?

• 4.3 × 10⁻³

• 2.35 × 10⁴

• 2.3 × 10⁻⁴

• 5.35 × 10⁻⁴

Order the following real numbers in ascending order in the table below.

• 0.24, 3.76 × 10⁻², 25.45%, 3/5

• 3.76 × 10⁻², 0.24, 25.45%, 3/5

• 3/5, 0.24, 25.45%, 3.76 × 10⁻²

• 25.45%, 0.24, 3.76 × 10⁻², 3/5

Correctly place each number on the number line below. −√12, −2.98, −9/4, −3, −7/8

• From left to right on the number line: −√12, −3, −2.98, −9/4, −7/8

• From left to right on the number line: −3, −√12, −2.98, −9/4, −7/8

• From left to right on the number line: −√12, −2.98, −3, −9/4, −7/8

• From left to right on the number line: −√12, −3, −9/4, −2.98, −7/8

Which statement is true?

• √49/9 > 0.6̅

• 5/6 < 7.6 × 10⁻²

• 4 × 10⁻³ < 2/5

• −5 1/5 < −√36

Order the following numbers from greatest to least in the table provided.

• 43.7, 372%, 7.23 × 10⁻¹, 23/1,000, 8 × 10⁻³

• 372%, 43.7, 7.23 × 10⁻¹, 23/1,000, 8 × 10⁻³

• 43.7, 7.23 × 10⁻¹, 372%, 23/1,000, 8 × 10⁻³

• 43.7, 372%, 23/1,000, 7.23 × 10⁻¹, 8 × 10⁻³

• 7/8

• 18.5

• 7/4

Between which two consecutive whole numbers is √45?

• 6 and 7

• 36 and 49

• 5 and 6

• 5 and 9

Identify each number which has a square root that lies between the whole numbers 4 and 12.

• 9

• 49

• 36

• 100

• 130

Look at the number line below and circle which point represents √177?

• Point A

• Point B

• Point C

• Point D

Fill in boxes and estimate which number is better approximation.

• 3 < √11 < 4; 3 is the better approximation

• 3 < √11 < 4; 4 is the better approximation

• 2 < √11 < 3; 2 is the better approximation

• 4 < √11 < 5; 4 is the better approximation