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Tag: Exponents and Powers
Exponents and Powers | Study
Exponents And Powers | Study
Exponents and Powers | Study
Exponents And Powers | Study
Exponents and Powers | Study
Pre-Requisires
Test & Enrich
English Version Exponents and Powers Exponents | Speed Notes
Notes For Quick Recap
Exponents are used to express large numbers in shorter form to make them easy to read, understand, compare and operate upon. (Scroll down to continue …)
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Audio, Visual & Digital Content
Expressing Large Numbers in the Standard Form: Any number can be expressed as a decimal number between 1.0 and 10.0 (including 1.0) multiplied by a power of 10. Such form of a number is called its standard form or scientific motion. Very large numbers are difficult to read, understand, compare and operate upon. To make all these easier, we use exponents, converting many of the large numbers in a shorter form. The following are exponential forms of some numbers?
Here, 10, 3 and 2 are the bases, whereas 4, 5 and 7 are their respective exponents. We also say, 10,000 is the 4th power of 10, 243 is the 5th power of 3, etc. Numbers in exponential form obey certain laws, which are: For any non-zero integers a and b and whole numbers m and n,
(g) (–1) even number = 1 (–1) odd number = – 1
Hindi Version Dig Deep
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- Integers | Study
- Fractions and Decimals | Study
- Data Handling | Study
- Simple Equations | Study
- Lines and Angles | Study
- The Triangle And Its Properties | Study
- Comparing Quantities | Study
- Rational Numbers | Study
- Perimeter and Area | Study
- Exponents and Powers | Study
- Symmetry | Study
- Visualising Solid Shapes | Study
Assessments
Personalised Assessments
Exponents And Powers | Study
Pre-Requisires
Test & Enrich
English Version Exponents and Powers | Speed Notes
Notes For Quick Recap
Numbers with exponents obey the following laws of exponents.
Very small numbers can be expressed in standard form using negative exponents. (Scroll down to continue …)
Study Tools
Audio, Visual & Digital Content
Use of Exponents to Express Small Number in Standard form:
- Very large and very small numbers can be expressed in standard form.
- Standard form is also called scientific notation form.
(iii) A number written as number such that is said to be in standard form if m is a decimal and n is either a positive or a negative integer.
Examples: 150,000,000,000 = 1.5 x 1011.
Exponential notation is a powerful way to express repeated multiplication of the same number.
For any non-zero rational number ‘a’ and a natural number n, the product a x a x a x x a(n times) = an.
It is known as the nth power of ‘a’ and is read as ‘a’ raised to the power n’.
The rational number a is called the base and n is called exponent.
Hindi Version Dig Deep
Topic Level Resources
Sub – Topics
Select A Topic
Topic:
Chapters Index
Select Another Chapter
- Rational Numbers | Study
- Linear Equations In One Variable | Study
- Understanding Quadrilaterals | Study
- Data Handling | Study
- Squares And Square Roots | Study
- Cubes And Cube Roots | Study
- Comparing Quantities | Study
- Algebraic Expressions And Identities | Study
- Mensuration | Study
- Exponents And Powers | Study
- Direct And Inverse Proportions | Study
- Factorisation | Study
- Introduction to Graphs | Study
Assessments
Personalised Assessments
Exponents and Powers | Study
Pre-Requisires
Test & Enrich
English Version Exponents and Powers Exponents | Speed Notes
Notes For Quick Recap
Exponents are used to express large numbers in shorter form to make them easy to read, understand, compare and operate upon. (Scroll down to continue …)
Study Tools
Audio, Visual & Digital Content
Expressing Large Numbers in the Standard Form: Any number can be expressed as a decimal number between 1.0 and 10.0 (including 1.0) multiplied by a power of 10. Such form of a number is called its standard form or scientific motion. Very large numbers are difficult to read, understand, compare and operate upon. To make all these easier, we use exponents, converting many of the large numbers in a shorter form. The following are exponential forms of some numbers?
Here, 10, 3 and 2 are the bases, whereas 4, 5 and 7 are their respective exponents. We also say, 10,000 is the 4th power of 10, 243 is the 5th power of 3, etc. Numbers in exponential form obey certain laws, which are: For any non-zero integers a and b and whole numbers m and n,
(g) (–1) even number = 1 (–1) odd number = – 1
Hindi Version Dig Deep
Topic Level Resources
Sub – Topics
Select A Topic
Topic:
Chapters Index
Select Another Chapter
- Integers | Study
- Fractions and Decimals | Study
- Data Handling | Study
- Simple Equations | Study
- Lines and Angles | Study
- The Triangle And Its Properties | Study
- Comparing Quantities | Study
- Rational Numbers | Study
- Perimeter and Area | Study
- Exponents and Powers | Study
- Symmetry | Study
- Visualising Solid Shapes | Study
Assessments
Personalised Assessments
Exponents And Powers | Study
Pre-Requisires
Test & Enrich
English Version Exponents and Powers | Speed Notes
Notes For Quick Recap
Numbers with exponents obey the following laws of exponents.
Very small numbers can be expressed in standard form using negative exponents. (Scroll down to continue …)
Study Tools
Audio, Visual & Digital Content
Use of Exponents to Express Small Number in Standard form:
- Very large and very small numbers can be expressed in standard form.
- Standard form is also called scientific notation form.
(iii) A number written as number such that is said to be in standard form if m is a decimal and n is either a positive or a negative integer.
Examples: 150,000,000,000 = 1.5 x 1011.
Exponential notation is a powerful way to express repeated multiplication of the same number.
For any non-zero rational number ‘a’ and a natural number n, the product a x a x a x x a(n times) = an.
It is known as the nth power of ‘a’ and is read as ‘a’ raised to the power n’.
The rational number a is called the base and n is called exponent.
Hindi Version Dig Deep
Topic Level Resources
Sub – Topics
Select A Topic
Topic:
Chapters Index
Select Another Chapter
- Rational Numbers | Study
- Linear Equations In One Variable | Study
- Understanding Quadrilaterals | Study
- Data Handling | Study
- Squares And Square Roots | Study
- Cubes And Cube Roots | Study
- Comparing Quantities | Study
- Algebraic Expressions And Identities | Study
- Mensuration | Study
- Exponents And Powers | Study
- Direct And Inverse Proportions | Study
- Factorisation | Study
- Introduction to Graphs | Study
Assessments
Personalised Assessments
