5 x 10 raised to 6 + 2 x 10 raised to 3 + 7 x 10 raised to 0 =
Answers
Answer:
What about numbers that are not exact powers on ten, such as 2000, 0.0003, etc.? Actually, they are only a little more complicated to write down than powers of ten. Take 2000 as an example:
2000 = 2 x 1000 = 2 x 103
As another example, take 0.00003, or "three ten-thousandths":
0.0003 = 3 x 1 / 10,000 = 3 x 10-4
There is a simple procedure for getting a decimal number into the "standard form" for scientific notation:
First, write down the number as the number itself times 100. This can be done because 100 equals one, and any number times one equals that number. The number is now in the standard form:
coefficient x 10 exponent
Second, start moving the decimal point in the coefficient to the right or left. For each place you move the decimal place to the left, add 1 to the exponent. For each place you move it to the right, subtract 1 from the exponent. What you are doing is dividing (or multiplying) the coefficient by 10 each time, while at the same time multiplying (or dividing) the exponent term by 10 each time. Since what you do to the exponent term undoes what you do to the coefficient, the total number does not change.
Some examples will hopefully make it clear:
2000 = 2000 x 100= 200 x 101= 20 x 102= 2 x 103
0.0003 = 0.0003 x 100= 0.003 x 10-1 = 0.03 x 10-2 = 0.3 x 10-3= 3 x 10-4
You should move the decimal point until there is exactly one nonzero digit to the left of the decimal point, as in the last case of each example given. We then say that the number is fully in the standard form. You should always express scientific notation numbers in the standard form. Notice that you don't really have to write down each of the steps above; it is enough to count the number of places to move the decimal point and use that number to add or subtract from the exponent. Some examples:
250,000 = 2.5 x 105 5 places to the left
0.000035 = 3.5 x 10-5 5 places to the right
0.00000001 = 1 x 10-8 = 10-8 8 places to the right
Answer:
5002007
Step-by-step explanation:
5×10⁶ + 2 × 10³ + 7 × 10 ⁰
5000000 + 2000 + 7
5002007
HOPE IT HELPED