Answer:
Number Standard Power of 10 Factors of 10 Exponential
700 7 x 10² 7 x 10² 7 x 100 7 x 10²
9,000 9 x 10³ 9 x 10³ 9 x 1000 3² x 10³
80,000 8 x 10⁴ 8 x 10⁴ 8 x 10000 2³ x 10⁴
Step-by-step explanation:
To write the numbers in a standard form, we need to identify the first digit, and then count the number of digits after that number.
For example, 700 can be written as 7 x 10²
Because the first digit is 7 and there are 2 zeros after the 7.
So, 9,000 is 9 x 10³
80,000 is 8 x 10⁴
Then, if we write the number using a power of 10, we will have the same results as the standard form, because the number has only one digit that is different from zero.
On the other hand, if we will use factors of 10 to express the number, we will use numbers like 10, 100, 1000, and so we get:
700 = 7 x 100
9,000 = 9 x 1,000
80,000 = 8 x 10,000
Finally, for the exponent form, we can write the numbers in the same way as the standard form but we will factorize the number 9 and 8 as follows:
9 = 3² because 3 x 3 = 9
8 = 2³ because 2 x 2 x 2 = 8
Therefore, the exponent form is:
700 = 7 x 10²
9,000 = 3² x 10³
80,000 = 2³ x 10⁴
So, the complete table is:
Number Standard Power of 10 Factors of 10 Exponential
700 7 x 10² 7 x 10² 7 x 100 7 x 10²
9,000 9 x 10³ 9 x 10³ 9 x 1000 3² x 10³
80,000 8 x 10⁴ 8 x 10⁴ 8 x 10000 2³ x 10⁴