Suppose p = a*10^x and q = b*10^y are two numbers in scientific notation. Then p*q = (a*b)*10^(x+y) where 1 <= |a|,|b| < 10 implies that 1 <= |a*b| < 100.
If a*b is greater than or equal to 10, let a*b = 10*c then in scientific notation, p*q = c*10^(x+y+1). Also p/q = (a/b)*10^(x-y) where, 1 <= |a|,|b| < 10 implies that 0 < |a/b| <= 1.
If a/b is less than 1, let a/b = c/10 then in scientific notation, p/q = c*10^(x-y-1). Suppose you have two numbers in scientific notation.
· Rename them so that the exponents (powers of 10) are the same, · add the two mantissae to form the new mantissa, and append the 10 and exponent, · if the resulting mantissa is 10 or greater then rename the mantissa and adjust the exponent accordingly.
For the first stage you may rename both numbers or either one.
For example,
3.5*10^3+ 4.5*10^4= 3.5*10^3+ 45*10^3= (3.5+45)*10^3= 48.5*10^3= 4.85*10^4
or
3.5*10^3+ 4.5*10^4= 0.35*10^4+ 4.5*10^4= (0.35+4.5)*10^4= 4.85*10^4
To express 400,000 x 200 in scientific notation, first calculate the product: 400,000 x 200 = 80,000,000. In scientific notation, this is written as 8.0 x 10^7.
0.7867000000000002
To express ( 1.64 \times 1002.0 \times 102 ) in scientific notation, first calculate the product: ( 1.64 \times 1002.0 \approx 1640.68 ), and then multiply by ( 102 ) to get approximately ( 167,000 ). In scientific notation, this is written as ( 1.67 \times 10^5 ).
It is 8.9*10^-5 in scientific notation
It is "(scientific notation)".
You do not simply calculate scientific notation for nothing. You need a number for which you calculate the scientific notation.
maybe scientific notation...?
To express 400,000 x 200 in scientific notation, first calculate the product: 400,000 x 200 = 80,000,000. In scientific notation, this is written as 8.0 x 10^7.
0.7867000000000002
To express ( 1.64 \times 1002.0 \times 102 ) in scientific notation, first calculate the product: ( 1.64 \times 1002.0 \approx 1640.68 ), and then multiply by ( 102 ) to get approximately ( 167,000 ). In scientific notation, this is written as ( 1.67 \times 10^5 ).
It is 8.9*10^-5 in scientific notation
It is "(scientific notation)".
take the negative logarithm ex. 10^-4 has a pH of 4
This number in scientific notation is 9.8x10-5.
It is: 2.7*10^0 in scientific notation
The scientific notation for 89,450 is: 8.945 × 104
9.32 x 105 already is in scientific notation.9.32 x 105 already is in scientific notation.9.32 x 105 already is in scientific notation.9.32 x 105 already is in scientific notation.