between which two digits should a decimal point be placed so the value of the resulting number is 8.7654321 x 10^4 ?
8 x 10,000 is 80,000
so put the decimal between 4 and 3
Right. All you need to do is look at your exponent. Positive tells us to move that many spaces to the right, and negative tells us to move that many spaces to the left. Positive four tells us to move it four to the right, which is between the four and three.
To determine the placement of the decimal point, we need to consider the scientific notation form: a number between 1 and 10 multiplied by a power of 10.
In the given number, "8.7654321 x 10^4", we have the value 8.7654321 multiplied by 10 raised to the power of 4.
To express this number in decimal form, we need to move the decimal point four places to the right since the exponent is positive. Therefore, the decimal point should be placed between the digits 8 and 7.
The resulting decimal number is: 87.654321.
So, the decimal point should be placed between 8 and 7 in order to obtain the value of 8.7654321 x 10^4.