Economic Analysis Directorate: State of FS Province Constraints
The Economic Analysis Directorate delves into the socio-economic state of the Free State Province, highlighting key constraints to economic development and competitiveness. Chief Economist IJ Moses presented a paper at the CUT-curriculum conference in May 2010, emphasizing the need for strategic interventions and policies to address these challenges. The Directorate aims to provide valuable insights and data-driven recommendations for fostering sustainable economic growth in the region.
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Presentation Transcript
By- Mrs. Vaishali Pathak
Lets say you go to the market and bring 2 packets of tomatoes. One packet has 4 tomatoes and the other has just one. Now, you put all the tomatoes together in one packet. How many tomatoes will that packet have? The packet will have 5 tomatoes. Putting together of quantities is nothing but an addition. To help you visualize the operation, addition is putting two or more groups together to end up with a larger group in the end.
Addition can be best understood using real-life objects, and some visual models like NUMBER LINE. The smaller numbers make it easier to understand the concept. As you can see in the image given below there is a number line showing starting at 5 if you take 7 jumps then you will reach at number 12. Which is nothing but 5 + 7 = 12.
Another simple idea used for the addition of two numbers is the concept of place value. As the numbers become bigger, they gain place values. The key concept to remember is that ONLY like number let's say 1423, being added to a three-digit number let's say 176, then the addition would look like as shown below. ONLY like places places can can be be added added at at a a time time. So, if you have a four-digit Thousands Thousands Hundreds Hundreds Tens Tens Ones Ones 1 4 2 3 0 1 7 6
So, in order to add 1423 and 176, you write both the numbers one below the other in such a way that the place values are all aligned. So, it would look like this: 1423 + 0176 1599 Since ancient times, simple additions are done with the help of a simple, yet powerful instrument called the abacus.
In the above example, adding two digits result in a value less than 10. But what happens if the sum of a particular place value exceeds 10? We then carry over the value to the next higher place value. But why specifically 10? It is because we have a base-10 number system. In the image shown above the sum of 7 ones and 6 ones is 13. It is nothing but 1 ten and 3 ones. We retain the value of units place which is 3. And carry over 1 ten to the tens place. Thus adding 1 ten + 3 tens + 2 tens = 6 tens
Let's take another example to understand this better. Let's say we have to add 1476 + 246. The first step is to place the number under the right place values. As shown below. 1 1 1 4 7 6 + 2 4 6 1 7 2 2 Now start adding the numbers from the ones place, if a value exceeds 10 then carryover to the next higher place value.
In addition, when carrying over a number from one place value to the other, children make mistakes. When adding a three-digit number to a two-digit number, students may place the numbers one below the other incorrectly.
