When you are translating a number from scientific notation to standers form what does the exponent tell you a.the numbers of zeros to add to the number b.the number of places to move the decimal left c.same as b but right d.the number of times to multiply the first factor by itself
1.234 x 10^3 = 1234
When translating a number from scientific notation to standard form, the exponent tells you the number of places to move the decimal point.
To do this, follow these steps:
1. Determine the base of the scientific notation, which is a number between 1 and 10 (inclusive).
2. Multiply the base by 10 raised to the power of the exponent. This will give you the original value in standard form.
For example, let's say you have the number 3.5 x 10^4 in scientific notation. Here, the base is 3.5, and the exponent is 4.
To convert this to standard form:
1. Multiply the base (3.5) by 10 raised to the power of the exponent (4): 3.5 x (10^4) = 35,000.
2. The result, 35,000, is the number in standard form.
In summary, the exponent in scientific notation tells you the number of places to move the decimal point in order to convert it to standard form, specifically to the left (b) or right (c) depending on the sign of the exponent.
Here are two examples, you decide what I did.
3.45 x 10^7 = 34500000 , where was decimal and where is it now ?
5.632 x 10^-3 = 0.005632 , where was decimal and where is it now
did you notice that when the exponent on 10 is positive, the number is "big"
and when the exponent on 10 is negative, the number is "small"