How do you write index notation?
How do you write index notation?
Index notation is a method of representing numbers and letters that have been multiplied by themself multiple times.
- For example, the number 360 can be written as either 2×2×2×3×3×5. or 23×33×5.
- 23. is read as ”2 to the power of 3” or “2 cubed” and means 2 × 2 × 2.
- 32.
What are the rules of index?
Laws of indices
- (read as ‘ squared’) means a × a . has been multiplied by itself twice. The index, or power, here is 2.
- (read as ‘ cubed’) means a × a × a . has been multiplied by itself three times.
- (read as ‘ to the power of 4’) means a × a × a × a . has been multiplied by itself four times, and so on.
What is the index notation of 25?
5 × 5 is known as the expanded form (or factor form) of 25 and 52 is known as the index form of 25. Generally when a number is multiplied by itself any number of times, the expression is simplified by using the index notation.
What is the index notation of 72?
For example, the number 72 can be written as a product of primes as: 72 = 23• 32.
Why do we use index notation?
Index notation is a way of representing numbers (constants) and variables (e.g. x and y ) that have been multiplied by themselves a number of times. We use index notations, or the plural ‘indices’, to simplify expressions or solve equations involving powers. E.g. 6 is being multiplied by itself 4 times.
How many rules of indices are there?
Six rules of the Law of Indices.
What is the index notation of 360?
For example, the number 360 can be written as either 2 × 2 × 2 × 3 × 3 × 5 or as 23 × 32 × 5.
What is the index form of 120?
Factors of 120 are numbers that, when multiplied in pairs give the product as 120. There are overall 16 factors of 120, of which 2, 3 and 5 are its prime factors. The Prime Factorization of 120 is 23 × 3 × 5….Factors of 120 in Pairs.
| Product that Results in 120 | Pair Factors of 120 |
|---|---|
| 8 × 15 | (8,15) |
| 10 × 12 | (10,12) |
What is the prime factor of 48?
Factors of 48 are the list of integers that can be evenly divided into 48. It has a total of 10 factors of which 48 is the biggest factor and the prime factors of 48 are 2 and 3. The Prime Factorization of 48 is 24 × 3.
What is a factor tree for 54?
Factors of 54 are the list of integers that can be evenly divided into 54. There are overall 8 factors of 54 among which 54 is the biggest factor and its positive factors are 1, 2, 3, 6, 9, 18, 27 and 54….Factors of 54 in Pairs.
| Factors | Pair factors |
|---|---|
| 3 × 18 = 54 | 3, 18 |
| 6 × 9 = 54 | 6, 9 |
| 9 × 6 = 54 | 9, 6 |
| 18 × 3 = 54 | 18, 3 |
