What is the exponential form of 10 000 000?
The number of zeroes you count is the exponent. 10,000,000 = 107 4. So: 10,000,000 written in exponential notation is 107.
The correct answer is 104 (option (b)). Converting number into exponential form by doing prime factorization of number.
| Powers of 10 | |
|---|---|
| 101=10 | 101=1 |
| 106=1,000,000 (one million) | 10-5=0.00001 (one hundred thousandth) |
| 107=10,000,000 (ten million) | 10-6=0.000001 (one millionth) |
| 108=100,000,000 (one hundred million) | 10-7=0.0000001 (one ten millionth) |
| Words | Decimal Representation | Scientific Notation |
|---|---|---|
| ten million | 10,000,000 | 1 x 107 |
| one hundred million | 100,000,000 | 1 x 108 |
| one billion | 1,000,000,000 | 1 x 109 |
| ten billion | 10,000,000,000 | 1 x 1010 |
We've found that in the number a x 10 b, a is 1, and b is 6, so we have that 1000000 = 1 x 10 6.
Log of one million equals six written in its equivalent exponential form is 10 to the power of six equals one million.
The way to express any large number in scientific notation is to multiply the first digit by 10 raised to the power of the number of digits after the first one. So 10,000,000 would be expressed as 1×107 , or simply 107 .
More Examples on Expanded Form:
300 in the expanded form is 300+0+0, as there are zero tens and zero ones. The expanded form of 10,000 is 10000+0+0+0+0. In the number 10,000, there are zero thousand, zero hundred, zero tens and zero ones.
10,000,000 (ten million) is the natural number following 9,999,999 and preceding 10,000,001.
100,000,000 (one hundred million) is the natural number following 99,999,999 and preceding 100,000,001. In scientific notation, it is written as 108.
What power of 10 is 100000000?
| Name | Power | Number |
|---|---|---|
| million | 6 | 1,000,000 |
| ten million (crore (India)) | 7 | 10,000,000 |
| hundred million | 8 | 100,000,000 |
| billion (milliard) | 9 | 1,000,000,000 |
Therefore, 10 million is equivalent to 1 crore.
| Exponential Form | Expanded Form | Value |
|---|---|---|
| 105 | 10 • 10 • 10 • 10 • 10 | 100,000 |
| 104 | 10 • 10 • 10 • 10 | 10,000 |
| 103 | 10 • 10 • 10 | 1,000 |
| 102 | 10 • 10 | 100 |
Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.
That is, 1,500,000 is the same as 1.5 times 1 million, and 1 million is 10 × 10 × 10 × 10 × 10 × 10, or 106 (which is read as “ten to the sixth power”). Therefore, 1,500,000 can be rewritten as 1.5 times 106, or 1.5 × 106.
2000000 = 2 × 106.
This can also be expressed as 2 × 10^6 , using the caret symbol, or as 2e+6, which is called 2000000 in e-notation, further discussed in the section ahead.
What is 15000000 in scientific notation? 15,000,000 written in scientific notation is 1.5 × 107.