So, we can write 8 as 23.
Likewise, 27 can be written as 33
and 125 can be written as 53.
So far, we have considered numbers that have a group of the same factors. Sometimes, a number has more than one group of the same factors as shown in the following example.
Example 20
Write 200 in simplest index form.
Solution:
Key Term
simplest index form
You write the numbers in the form of a table.
360= 23 times 45
its called word form
3,700,000,000,000
23 x 33 = 216
Ah, index form is a way to write numbers using exponents. So, if we want to write 64 in index form, we can express it as 2^6. Isn't that just lovely? It's like a little mathematical painting on canvas!
Index form of 9765625 is 9.765625 × 106
You write the numbers in the form of a table.
360= 23 times 45
its called word form
Think of the "ex" in index as meaning exponent. Write the prime factorization with exponents. 216 = 23 x 33
3,700,000,000,000
You can write index in Hindi as "सूची" (pronounced as "soochi").
"index" is the singular form - "indices" is the plural :)
Writing numbers in standard form is writing numbers regular. For example One million in standard form is 1,000,000.
23 x 33 = 216
2118077 word form