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Expansion of Numbers in terms of powers of 10 Video Lecture - Class 7
FAQs on Expansion of Numbers in terms of powers of 10 Video Lecture - Class 7
| 1. What is the concept of expansion of numbers in terms of powers of 10? |  |
Ans. The concept of expansion of numbers in terms of powers of 10 involves expressing a number as a product of a digit and a power of 10. For example, the number 356 can be expanded as 3 × 10² + 5 × 10¹ + 6 × 10⁰.
| 2. How do you expand a given number using powers of 10? | |
Ans. To expand a given number using powers of 10, we start by writing the number as a sum of products of digits and the corresponding powers of 10. Each digit in the number represents the number of units, tens, hundreds, etc., depending on its position.
| 3. What is the significance of expansion of numbers in terms of powers of 10? | |
Ans. The expansion of numbers in terms of powers of 10 helps in understanding the place value system and the positional notation of numbers. It allows us to represent large numbers in a more concise and systematic manner, making mathematical operations and calculations easier.
| 4. Can you provide an example of expanding a number using powers of 10? | |
Ans. Sure! Let's expand the number 4,567 using powers of 10. The expansion would be: 4 × 10³ + 5 × 10² + 6 × 10¹ + 7 × 10⁰. This means that 4,567 can be expressed as the sum of 4 thousands, 5 hundreds, 6 tens, and 7 units.
| 5. In what real-life situations can the concept of expansion of numbers in terms of powers of 10 be applied? | |
Ans. The concept of expansion of numbers in terms of powers of 10 is commonly used in various fields such as science, finance, engineering, and astronomy. It is particularly useful when dealing with very large or very small numbers, such as measuring distances in space, expressing the magnitude of earthquakes, or calculating financial values in millions or billions.
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Dec 17, 2024 Last updated |
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