Scientific Notation

The mantissa is multiplied by 10 raised to the power as shown by the exponent. So, if the exponent is 4, then you multiply the mantissa by 10^4 = 10,000. If the exponent is -4 then you multiply the mantissa by 10^(-4) = 0.0001 or, equivalently, divide by 10^4.

It is 4.68*10^-4 metres.

3.0523 x 10^-5

2,380,000 is 2.38*10^6 in standard form or scientific notation

I believe its 5.05x10^3

4.8*101

6.0*10-6

To write a number in scientific notation you first need to divide the number by a power of 10 such that the answer has units as the greatest place value. In this case, you can divide by 100,000 to get 6.35. The next step is to represent this power of 10 next to the number as a multiplication. We use 100,000 which is 105. Thus, 635,000 in scientific notation is 6.35x105

7.0 in Scientific Notation = 7 x 100

9.29558876 x 10-7

5*1011

7700 = 7.7*103

about 13.7 Billion years

It is: 1.97*10^8

The number 406,000 is equivalent to the scientific notation of 4.06 x 10 to the third power.

5.63 x 10^4

0.000000515 = 5.15 x 10^-7

It is: 2.24*10^4

3,940 = 3.94 × 103

The exponent is an unknown variable. It is a variable because it will change into a known number when we get further into the equation.

Take this for example.

4x=8 - where x is the exponent.

To work out the problem we simply move the 4 over the equal's sign. Since it is 4x, this means that it is 4 times x. Since we are moving the 4 over the equals sign, we have to change the multiplication, into a division.

x=8/4 which equals 2. The x is a 2.

To check, we we substitute the 2 with the x in the equation. 4x2=8, which is correct.

0.0000673 in scientific notation is: 6.73 × 10-5

5.6 * 10 ^ -9

Note that we interpret 5000 as 5000.0. Move 3 decimal places to the left from the starting point, so the exponent for base 10 is 3. Therefore, 5000 in Scientific Notation is 5 x 103

Scientific notation is a way of writing numbers that are too big or too small to be conveniently written in decimal form.

In normalized scientific notation all numbers are written in the form a x 10^b (a times ten raised to the power of b) where a is a nonzero single-digit integer and b is an integer.

953 in scientific notation is 9.53 x 10^2

8.32*10-3