MATHEMATICS GRADE 9 ASSIGNMENT 1 FEBRUARYQuestion 11.1. Given: $\sqrt{9+25}$ ; $\pi-4$ ; $\sqrt[3]{-27}$ ; $\frac{2}{3}$ ; $\frac{18}{2}$ ; $\sqrt{-27}$From The List Given Above, Write Down:1.1.1.

Introduction

In this assignment, we will be working with various mathematical expressions and operations. We will be given a list of expressions and asked to simplify or evaluate them. This will help us to understand and apply mathematical concepts and formulas in different situations.

Given Expressions

The following expressions are given:

• $\sqrt{9+25}$
• $\pi-4$
• $\sqrt[3]{-27}$
• $\frac{2}{3}$
• $\frac{18}{2}$
• $\sqrt{-27}$

Simplifying the Expressions

1.1.1.1. Simplifying $\sqrt{9+25}$

To simplify the expression $\sqrt{9+25}$, we need to first evaluate the expression inside the square root.

$\sqrt{9+25} = \sqrt{34}$

However, we can simplify this expression further by finding the prime factorization of 34.

$34 = 2 \times 17$

Therefore, we can write:

$\sqrt{34} = \sqrt{2 \times 17} = \sqrt{2} \times \sqrt{17}$

1.1.1.2. Simplifying $\pi-4$

To simplify the expression $\pi-4$, we need to recall the value of $\pi$.

$\pi \approx 3.14$

Therefore, we can write:

$\pi-4 \approx 3.14-4 = -0.86$

1.1.1.3. Simplifying $\sqrt[3]{-27}$

To simplify the expression $\sqrt[3]{-27}$, we need to recall the cube root of -27.

$\sqrt[3]{-27} = -3$

1.1.1.4. Simplifying $\frac{2}{3}$

The expression $\frac{2}{3}$ is already simplified.

1.1.1.5. Simplifying $\frac{18}{2}$

To simplify the expression $\frac{18}{2}$, we need to divide 18 by 2.

$\frac{18}{2} = 9$

1.1.1.6. Simplifying $\sqrt{-27}$

To simplify the expression $\sqrt{-27}$, we need to recall the square root of -27.

$\sqrt{-27} = \sqrt{-3^3} = \sqrt{-3} \times \sqrt{3^2} = 3i\sqrt{3}$

where $i$ is the imaginary unit.

Conclusion

In this assignment, we simplified and evaluated various mathematical expressions. We used different mathematical concepts and formulas to simplify the expressions and found their values. This will help us to understand and apply mathematical concepts and formulas in different situations.

Discussion

• What are some common mathematical expressions that can be simplified using the concepts learned in this assignment?
• How can we apply the concepts learned in this assignment to real-world problems?
• What are some challenges or difficulties that we may face when simplifying and evaluating mathematical expressions?

Answer Key

$$ $$ $$ $$ $$ $$

Introduction

In this Q&A article, we will be addressing some common questions and concerns related to the mathematics grade 9 assignment 1: February. We will be providing detailed answers to help students understand and apply mathematical concepts and formulas in different situations.

Q&A

Q1: What is the value of $\sqrt{9+25}$?

A1: To simplify the expression $\sqrt{9+25}$, we need to first evaluate the expression inside the square root.

$\sqrt{9+25} = \sqrt{34}$

However, we can simplify this expression further by finding the prime factorization of 34.

$34 = 2 \times 17$

Therefore, we can write:

$\sqrt{34} = \sqrt{2 \times 17} = \sqrt{2} \times \sqrt{17}$

Q2: What is the value of $\pi-4$?

A2: To simplify the expression $\pi-4$, we need to recall the value of $\pi$.

$\pi \approx 3.14$

Therefore, we can write:

$\pi-4 \approx 3.14-4 = -0.86$

Q3: What is the value of $\sqrt[3]{-27}$?

A3: To simplify the expression $\sqrt[3]{-27}$, we need to recall the cube root of -27.

$\sqrt[3]{-27} = -3$

Q4: What is the value of $\frac{2}{3}$?

A4: The expression $\frac{2}{3}$ is already simplified.

Q5: What is the value of $\frac{18}{2}$?

A5: To simplify the expression $\frac{18}{2}$, we need to divide 18 by 2.

$\frac{18}{2} = 9$

Q6: What is the value of $\sqrt{-27}$?

A6: To simplify the expression $\sqrt{-27}$, we need to recall the square root of -27.

$\sqrt{-27} = \sqrt{-3^3} = \sqrt{-3} \times \sqrt{3^2} = 3i\sqrt{3}$

where $i$ is the imaginary unit.

Q7: How can we apply the concepts learned in this assignment to real-world problems?

A7: The concepts learned in this assignment can be applied to real-world problems in various ways. For example, we can use the concept of simplifying expressions to solve problems in physics, engineering, and computer science. We can also use the concept of evaluating expressions to solve problems in finance, economics, and business.

Q8: What are some challenges or difficulties that we may face when simplifying and evaluating mathematical expressions?

A8: Some common challenges or difficulties that we may face when simplifying and evaluating mathematical expressions include:

• Difficulty in understanding the concept of simplifying and evaluating expressions
• Difficulty in applying mathematical concepts and formulas to real-world problems
• Difficulty in handling complex or abstract mathematical concepts
• Difficulty in working with different mathematical operations and formulas

Conclusion

In this Q&A article, we addressed some common questions and concerns related to the mathematics grade 9 assignment 1: February. We provided detailed answers to help students understand and apply mathematical concepts and formulas in different situations.

Discussion

• What are some common mathematical expressions that can be simplified using the concepts learned in this assignment?
• How can we apply the concepts learned in this assignment to real-world problems?
• What are some challenges or difficulties that we may face when simplifying and evaluating mathematical expressions?

Answer Key

1.1.1.1. $\sqrt{34} = \sqrt{2} \times \sqrt{17}$ 1.1.1.2. $\pi-4 \approx -0.86$ 1.1.1.3. $\sqrt[3]{-27} = -3$ 1.1.1.4. $\frac{2}{3}$ 1.1.1.5. $\frac{18}{2} = 9$ 1.1.1.6. $\sqrt{-27} = 3i\sqrt{3}$