What are the rules in multiplying scientific notation?

Answer 1

1) Move the decimal until your number appears to be between 1 and 10 count the spaces that you move the decimal.

2) use the number of spaces as the exponent of 10 (the base)

3) if the original number was greater than 10, the exponent is positive, if the original number was less than 1 then the exponent is negative.

EX: 250,000 becomes 2.5 x 105

but 0.0025 becomes 2.5 x 10-3

Answer 2

When multiplying, the indices of the two numbers are added together whereas for division they are subtracted. In either case, the result needs to be adjusted so that the mantissa is in the range [1, 10).

Answer 3

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).

Answer 4

You simply add the exponents to multiply and subtract them to divide.

Answer 5

rules in changing/converting the decimal numerals to scientic notation and vice versa

Answer 6

Multiply the mantissas, add the exponents. Normalize the result, if desired.

Answer 7

If a*b < 10 then (a*10^x)*(b*10^y) = (a*b)*10^(x+y)If a*b > 10 then (a*10^x)*(b*10^y) = (a*b/10)*10^(x+y+1)

Answer 8

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Answer 9

Refer to the related links below.

Answer 10

yes