Question

Convert to standard form.
7.32 x 10^-9

Answer 1

To convert 7.32 x 10^-9 to standard form, move the decimal point 9 places to the left, producing 0.00000000732.

Step-by-step explanation:

To convert the expression 7.32 x 10^-9 into standard form, you must shift the decimal point 9 places to the left, since the exponent on 10 is a negative 9 (indicating a very small number). Starting with 7.32, we move the decimal to the left one place at a time: 0.732, 0.0732, 0.00732, etc., until we've moved it nine places in total. The resulting standard form is 0.00000000732.

In more detailed steps, here is how the conversion would look:

1. Write down the number 7.32.
2. Since the exponent is negative, move the decimal to the left. For each step, insert a zero:
3. 10^-1: 0.732 ->
4. 10^-2: 0.0732 ->
5. 10^-3: 0.00732 ->
6. ... until you reach 10^-9.
7. After nine places, you'll have 0.00000000732.