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Column addition involves writing numbers in place-value columns and adding the digits in each column separately. To solve 379 + 562: 1) The numbers are written in columns for hundreds, tens, and ones. 2) Adding the columns gives 81311. 3) Adjustments are made by moving digits between columns until each column contains only one digit, giving the final answer of 941.
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Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
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Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
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Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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- 2. Column Addition Column addition involves: โข Recording numbers in place-value columns; โข Adding in place-value columns; and โข Making and moving groups of 1s, 10s, 100s, and so on. Everyday
- 3. Column Addition Solve: 379 + 562 We set up the problem by writing the numbers in their place-value columns. H = hundreds T = tens O = ones T 3 7 9 + 5 6 2 Everyday H O
- 4. Column Addition Solve: 379 + 562 We add the digits in each column, keeping the sums separate in the place-value columns. It doesnโt matter if we start at the left or at the right. H T O 3 7 9 + 5 6 2 Everyday 8 1113
- 5. Column Addition Solve: 379 + 562 We make adjustments so each column has only one digit. This can be done in any order, but itโs most efficient to start with the ones place-value column. H T O 3 7 9 + 5 6 2 8 13 11 Everyday
- 6. Column Addition Solve: 379 + 562 The 11 in the ones column represents 11 ones. Remember: 11 = 10 + 1 Move 10 ones to the tens column as 1 ten. H T O 3 7 9 + 5 6 2 8 13 11 Everyday
- 7. Column Addition Solve: 379 + 562 Now we can rewrite the answer: โข There are still 8 hundreds. โข There are 14 tens (13 tens + 1 ten = 14 tens). โข There is only 1 one left in the ones column. Remember that we moved 10 ones to the tens column as 1 ten. H T O 3 7 9 + 5 6 2 8 13 11 14 Everyday 18
- 8. Column Addition Solve: 379 + 562 Now letโs adjust the tens column. The 14 in the tens column represents 14 tens. 14 tens = 10 tens + 4 tens Remember: 10 tens is 1 hundred. Move 10 tens to the hundreds column as 1 hundred. H T O 3 7 9 + 5 6 2 8 13 11 8 14 1 Everyday
- 9. Column Addition Solve: 379 + 562 Now letโs adjust the tens column. The 14 in the tens column represents 14 tens. 14 tens = 10 tens + 4 tens Remember: 10 tens is 1 hundred. Move 10 tens to the hundreds column as 1 hundred. H T O 3 7 9 + 5 6 2 8 13 11 8 14 1 9 4 1 Everyday
- 10. Column Addition Now we can rewrite the answer: โข There are now 9 hundreds in the โข hundreds column (8 hundreds + 1 โข hundred = 9 hundreds). โข There are only 4 tens left in the โข tens column. (Remember that we โข moved 10 tens to the hundreds column.) โข There is still 1 one in the ones column. Since we now have exactly one digit in each of the place-value columns, our work is done. H T O 3 7 9 + 5 6 2 8 13 11 8 14 1 4 Everyday 19
- 11. Column Addition 379 + 562 = 941 H T O 3 7 9 + 5 6 2 8 13 11 8 14 1 9 4 1 Everyday