Express 40/42 in Standard Form
Standard form refers to the way of representing a number in the form of a x 10^n where 1 ≤ a < 10="" and="" n="" is="" an="" integer.="" to="" express="" 40/42="" in="" standard="" form,="" we="" need="" to="" follow="" the="" steps="" />
Step 1: Simplify the Fraction
To simplify 40/42, we can divide both the numerator and denominator by their common factor, 2. So,
40/42 = (2 x 20) / (2 x 21) = 20 / 21
Step 2: Determine the Value of a
To determine the value of a, we need to look at the numerator, which is 20. Since 2 ≤ 20 < 10="" x="" 2,="" we="" can="" say="" that="" a="" />
Step 3: Determine the Value of n
To determine the value of n, we need to count the number of places we need to move the decimal point to the right to get a single digit number. In this case, we need to move the decimal point one place to the right to get 2.0. So, n = -1.
Step 4: Write the Number in Standard Form
Now that we have determined the value of a and n, we can write 40/42 in standard form as:
40/42 = 0.9523809523809524 = 2 x 10^-1 x 0.9523809523809524 = 2 x 0.09523809523809524 x 10^-1
Therefore, 40/42 in standard form is 2 x 0.09523809523809524 x 10^-1.