## Standards with the same topic and subject but for other grades

The positive and negative square root of any whole number other than a perfect square lies between two consecutive integers (e.g., √57 lies between 7 and 8 since 7² = 49 and 8² = 64; −√11 lies between −4 and −3 since (−4)² = 16 and (−3)² = 9).

Find the positive or positive and negative square roots of a given whole number from 0 to 400. (Use the symbol √ to ask for the positive root and −√ when asking for the negative root.)

Scientific notation is used to represent very large or very small numbers.

Any real number raised to the zero power is 1. The only exception to this rule is zero itself. Zero raised to the zero power is undefined.

The square root of a whole number that is not a perfect square is an irrational number (e.g., √2 is an irrational number). An irrational number cannot be expressed exactly as a fraction 𝑎/𝑏 where 𝑏 does not equal 0.

A number written in scientific notation is the product of two factors — a decimal greater than or equal to 1 but less than 10, and a power of 10 (e.g., 3.1 x 10⁵= 310,000 and 2.85 x 10-⁴ = 0.000285).

Compare and order no more than four numbers greater than 0 written in scientific notation. Ordering may be in ascending or descending order. (b)