To multiply two numbers:
For example:
3.5*103 x 4.3*10-5
3.5*4.3 = 15.05. Since this is not less than 10, divide it by 10 so that the mantissa of the answer is 1.505. Also, remember to add one to the power.
Sum of powers (exponents) = 3 + -5 + 1 (from the mantissa multiplication) = -1
So the final answer is 1.505*10-1
Add them
Multiplying numbers in scientific notation is easier when the numbers are very, very large or very, very small. Multiplying 0.000000000385 x 0.0000000474 is a pain. Multiplying 3.85 x 10-10 x 4.74 x 10-8 is not.
exponential
Standard notation (in the UK) is the same as scientific notation. So the one rule to use is DO NOTHING!
9.7 in scientific notation is written as (9.7 \times 10^0). This is because the number is already in the range of 1 to 10, which is the standard format for scientific notation. Since multiplying by (10^0) equals 1, it does not change the value of the number.
Yes, it does.
Add them
Multiplying numbers in scientific notation is easier when the numbers are very, very large or very, very small. Multiplying 0.000000000385 x 0.0000000474 is a pain. Multiplying 3.85 x 10-10 x 4.74 x 10-8 is not.
exponential
Multiplying each factor by powers of ten
Standard notation (in the UK) is the same as scientific notation. So the one rule to use is DO NOTHING!
9.7 in scientific notation is written as (9.7 \times 10^0). This is because the number is already in the range of 1 to 10, which is the standard format for scientific notation. Since multiplying by (10^0) equals 1, it does not change the value of the number.
2000.1 in scientific notation is written as 2.0001 x 10^3. The number is expressed in scientific notation by moving the decimal point three places to the left to create a number between 1 and 10, and then multiplying by 10 raised to the appropriate power to account for the decimal shift.
The result of multiplying 1,000,000,000,000,000,000,000,000 by 115 is 115,000,000,000,000,000,000,000,000. This can also be expressed in scientific notation as 1.15 × 10^27.
It is 8.9*10^-5 in scientific notation
Scientific notation must include the numbers one to nine followed by a decimal point. Also, if the decimal is moved toward the left hand side, the number will become larger.
It is "(scientific notation)".