Converting between
scientific notation and normal numbers. Examples:
· Convert from Scientific Notation to Real Number:
5.14 x 105 = 514000 Scientific notation consists of a coefficient (here 5.14) multiplied by 10 raised to an exponent (here 5). To convert to a real number, start with the base and multiply by 5 tens like this: 5.14 x 10 x 10 x 10 x 10 x 10 = 514000.0. Multiplying by tens is easy: one simply moves the decimal point in the base (5.14) 5 places to the right, adding extra zeroes as needed.
· Convert from Real Number to Scientific Notation:
0.000345 = 3.45 x 10-4 Here we wish to write the number 0.000345 as a coefficient times 10 raised to an exponent. To convert to scientific notation, start by moving the decimal place in the number until you have a number between 1 and 10; here it is 3.45. The number of places to the left that you had to move the decimal point is the exponent. Here, we had to move the decimal 4 places to the right, so the exponent is -4.
5.5 x 103 =
3.9 x108 =
3.0 x102 =
2.6 x107 =
9.92 x 103 =
1.234 x 109 =
2.67 x 103 =
255.500=
0.00356=
140000=
0.0037878=
299000=
2289.000=
scientific notation and normal numbers. Examples:
· Convert from Scientific Notation to Real Number:
5.14 x 105 = 514000 Scientific notation consists of a coefficient (here 5.14) multiplied by 10 raised to an exponent (here 5). To convert to a real number, start with the base and multiply by 5 tens like this: 5.14 x 10 x 10 x 10 x 10 x 10 = 514000.0. Multiplying by tens is easy: one simply moves the decimal point in the base (5.14) 5 places to the right, adding extra zeroes as needed.
· Convert from Real Number to Scientific Notation:
0.000345 = 3.45 x 10-4 Here we wish to write the number 0.000345 as a coefficient times 10 raised to an exponent. To convert to scientific notation, start by moving the decimal place in the number until you have a number between 1 and 10; here it is 3.45. The number of places to the left that you had to move the decimal point is the exponent. Here, we had to move the decimal 4 places to the right, so the exponent is -4.
5.5 x 103 =
3.9 x108 =
3.0 x102 =
2.6 x107 =
9.92 x 103 =
1.234 x 109 =
2.67 x 103 =
255.500=
0.00356=
140000=
0.0037878=
299000=
2289.000=