answersLogoWhite

0

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

User Avatar

Wiki User

9y ago

What else can I help you with?

Related Questions

Calculate scientific notation?

You do not simply calculate scientific notation for nothing. You need a number for which you calculate the scientific notation.


What to do if you have more than eight numbers to calculate?

maybe scientific notation...?


What is 400000 x 200 in 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.


How do you calculate 3.70g - 2.9133g answer in scientific notation?

0.7867000000000002


What is 1.64x1002.0x102 in scientific notation?

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 ).


How do you convert 0.000089 into scientific notation?

It is 8.9*10^-5 in scientific notation


What is scientific notation in parentheses?

It is "(scientific notation)".


How do you calculate from scientific notation to pH?

take the negative logarithm ex. 10^-4 has a pH of 4


What is 0.000098 in scientific notation?

This number in scientific notation is 9.8x10-5.


What is 27 in scientific notation?

It is: 2.7*10^0 in scientific notation


What is the scientific notation for 89.450?

The scientific notation for 89,450 is: 8.945 &times; 104


What is the scientific notation of 9.32x105?

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.