1.2.1 Name the Prime numbers between 0 and 15 1.2.2 Illustrate on a number line: \( \{x \mid 0

Ask by Paul Bradley. in South Africa

Mar 11,2025

Let's solve the problems step by step. ### 1.2.1 Name the Prime Numbers Between 0 and 15 Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. The prime numbers between 0 and 15 are: - 2 (divisors: 1, 2) - 3 (divisors: 1, 3) - 5 (divisors: 1, 5) - 7 (divisors: 1, 7) - 11 (divisors: 1, 11) - 13 (divisors: 1, 13) Thus, the prime numbers between 0 and 15 are: **2, 3, 5, 7, 11, 13**. ### 1.2.2 Illustrate on a Number Line To illustrate the prime numbers on a number line, we can represent the numbers from 0 to 15 and mark the prime numbers. The number line will look like this: ``` 0---1---2---3---4---5---6---7---8---9---10---11---12---13---14---15 * * * * * * ``` Where the asterisks (*) represent the prime numbers: 2, 3, 5, 7, 11, 13. ### 1.3 Between Which Two Whole Numbers Does \( \sqrt[3]{27} \) Lie? To find the cube root of 27, we can calculate: \[ \sqrt[3]{27} = 3 \] Now, we need to determine between which two whole numbers this value lies. Since \( \sqrt[3]{27} = 3 \), it lies exactly on the whole number 3. Thus, the answer is that \( \sqrt[3]{27} \) lies between the whole numbers **3 and 4** (inclusive of 3). In summary: - Prime numbers between 0 and 15: **2, 3, 5, 7, 11, 13** - Number line illustration: Asterisks at 2, 3, 5, 7, 11, 13 - \( \sqrt[3]{27} \) lies between **3 and 4**.