apply write an expression for the quantity 506,000 cm in which it is clear that all the zeros are significant.
5.06000 x 10^5
To write an expression for the quantity 506,000 cm in a way that makes it clear all the zeros are significant, you can use scientific notation.
In scientific notation, a number is expressed as a product of a number between 1 and 10 and a power of 10.
To write 506,000 cm in scientific notation, you need to move the decimal point so that there is only one non-zero digit to the left of the decimal point. In this case, the first non-zero digit is 5.
To reach this, you need to move the decimal point 5 places to the left. This means the number will be multiplied by 10⁵.
So, the expression for 506,000 cm in scientific notation is:
5.06 x 10⁵ cm
This expression clearly shows that all the zeros are significant, as the significant digits (5, 0, 6) remain unchanged in the scientific notation form.
To write an expression for the quantity 506,000 cm using significant zeros, we need to use scientific notation.
In scientific notation, any zeros between significant digits are also considered significant. Therefore, we can write 506,000 cm as 5.06 × 10^5 cm.
In this expression, the coefficient 5.06 has three significant figures (5, 0, and 6), and the exponent 5 indicates the number of places the decimal point has been moved to the right to obtain the original value of 506,000 cm.