Indices Laws

 

Hi students! This is going to be the last tutorial of the week: Number and Place Value. We will look at laws of indices or you can also say operation on indices/exponents. This will cover how to deal with operators between numbers having powers or exponents. Lastly, there is going to be a recap of learnings in this week and your understanding will be assessed through a questionnaire.

Closely observe the Index laws in the following image !

Now move on to the following media/resource and click to open it. Read it and understand through examples. Then solve the exercises and tally with answers provided at the end of exercises.

Capture images of the working of exercise questions and upload using the form below!!

Exercise Submission Form

Weekly Recap of Mathematical Concepts

1. Prime and Composite Numbers: Prime numbers are those that have only two distinct positive divisors: 1 and themselves. For example, 7 is prime because it is only divisible by 1 and 7. Composite numbers have more than two divisors. For example, 12 is composite because it can be divided by 1, 2, 3, 4, 6 and 12.

2. Factors and Multiplication: Understanding factors involves breaking down numbers into their simplest building blocks. A factor tree can help visualize this, like for 36 which breaks down into 2 × 2 × 3 × 3.

3. Index Notation and Exponents: Index notation (or exponents) simplifies multiplication of the same number multiple times. For instance, $2^3$ represents 2 multiplied by itself three times which equals 2 x 2 x 2 = 8.

4. Applying Knowledge of Factors: This involves strategies like expressing numbers as products of powers of prime factors. For example, 90 can be written as $2^1 × 3^2 × 5^1$.

Complete this last quiz to evaluate your understanding of the topic.