Which number represents 4.6 × 10^-4 in standard form?
To write 4.6 × 10^-4 in standard form, move the decimal point four places to the left. Thus, the number is 0.00046.
To express a number in standard form, we need to write it as a number between 1 and 10 multiplied by a power of 10.
In this case, 4.6 × 10^-4 is already written in scientific notation, where 4.6 is the number between 1 and 10, and 10^-4 is the power of 10.
Therefore, the number 4.6 × 10^-4 is already in standard form.
To express a number in standard form, we need to eliminate any exponents and write it as a single digit followed by a decimal point and zeros (if necessary). In this case, we have 4.6 multiplied by 10 raised to the power of -4.
To convert this into standard form, we start by moving the decimal point four places to the left because of the negative exponent. Doing so gives us 0.00046. However, we want to make this number a single digit followed by a decimal point and zeros.
To do this, we can rewrite it as 4.6 × 10^-4 = 4.6 × (10^-1)^4, remembering that raising a number to a negative power is equivalent to taking the reciprocal of the positive power. This can be further simplified to 4.6 × (1/10)^4.
Using the rule that (a/b)^n = a^n / b^n, we can rewrite this as 4.6 × 1^4 / 10^4 = 4.6 / 10^4.
Now, let's divide 4.6 by 10,000 since 10^4 equals 10,000. This gives us 0.00046.
Therefore, the number 4.6 × 10^-4 in standard form is 0.00046.