turn standard form into scientific notation:
1. 12457.686 m
2. 0.000065423 g
3. 128.90 g
4. 0.0000007532 m
turn scientific notation back to standard form:
1. 1.37 x 10^4m
2. 2.875 x 10^2g
3. 8.755 x 10^-5g
4. 7.005 x 10^-3m
All it takes is movement of the decimal place. I will do one of each problem.
1. 12457.686 m = 1.2457686 * 10^4
(Move decimal places to the left.)
1. 1.37 x 10^4m = 13,700
(Move decimal place to the right.)
To convert standard form into scientific notation:
1. 12457.686 m:
Move the decimal point after the first non-zero digit, which is 1 in this case. Count the number of decimal places you moved.
12457.686 = 1.2457686 x 10^4 m
2. 0.000065423 g:
Move the decimal point after the first non-zero digit, which is 6 in this case. Count the number of decimal places you moved.
0.000065423 = 6.5423 x 10^-5 g
3. 128.90 g:
Move the decimal point after the first non-zero digit, which is 1 in this case. Count the number of decimal places you moved.
128.90 = 1.289 x 10^2 g
4. 0.0000007532 m:
Move the decimal point after the first non-zero digit, which is 7 in this case. Count the number of decimal places you moved.
0.0000007532 = 7.532 x 10^-7 m
To convert scientific notation back to standard form:
1. 1.37 x 10^4 m:
Move the decimal point to the right by the exponent value (4 in this case).
1.37 x 10^4 = 13700 m
2. 2.875 x 10^2 g:
Move the decimal point to the right by the exponent value (2 in this case).
2.875 x 10^2 = 287.5 g
3. 8.755 x 10^-5 g:
Move the decimal point to the left by the absolute value of the exponent value (-5 in this case).
8.755 x 10^-5 = 0.00008755 g
4. 7.005 x 10^-3 m:
Move the decimal point to the left by the absolute value of the exponent value (-3 in this case).
7.005 x 10^-3 = 0.007005 m