What is the procedure in converting scientific notation to natural notation?

Answer 1

1. Move the decimal point the same number of digits as the power of the 10. If the power is negative move to the left, positive to the right.
2. If the digits run out before the decimal point has move enough digits, insert zeros until the decimal point has moved enough digits.
3. If the decimal point ends up after the units digits and there are no decimal digits (ie the number is a whole number), the decimal point can be removed; if the decimal point is in front of the first digit, write a zero in front of it.

examples:

1.23 x 101

1. power of 10 is 1, so move decimal point 1 digit to the right
2. 1.23 ⇒ 12.3

1.23 x 102

1. power of 10 is 2, so move decimal point 2 digits to the right
2. 1.23 ⇒ 123.
3. decimal point after units, number is a whole number, so 123. ⇒ 123

1.23 x 103

1. power of 10 is 3, so move decimal point 3 digits to the right
2. 1.23 ⇒ 1230. (inserting a zero)
3. decimal point after units, number is a whole number, so 1230. ⇒ 1230

1.23 x 100

1. power of 10 is 0, so move decimal point 0 digits to the right
2. 1.23 ⇒ 1.23

1.23 x 10-1

1. power of 10 is -1, so move decimal point 1 digit to the left
2. 1.23 ⇒ .123
3. Decimal point before first digit, precede by a zero: .123 ⇒ 0.123

1.23 x 10-3

1. power of 10 is -3, so move decimal point 3 digits to the left
2. 1.23 ⇒ .00123 (inserting two zeros)
3. Decimal point before first digit, precede by a zero: .00123 ⇒ 0.00123