Rewrite 3.41 × 10 −4 in standard form:

Alright, guys. Let's get some practice taking numbers that are already in scientific notation and then rewriting them in standard form. And remember that the rule basically just comes down to what the exponent tells us to do in terms of shifting the decimal place. So we're gonna take this number here, 3.41. And this exponent here tells us that we're gonna shift the decimal place 4 times. And the rule is if it's a negative exponent, then we're gonna get a number that's much smaller than 1. So that tells us which way to go. So it's, negative 4, which means that to get a number that's much smaller than 1, we have to shift the decimal place to the left 4 times. So our decimal place lands over here, and we just fill in the zeros. So we have 0 zero zero three four one with an extra zero over here before the decimal. That turn turns out to be answer choice a. That's our correct answer. Alright, guys. That's it for this one. Let me, let's keep

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Multiple Choice

Rewrite 3.41 × 10⁻⁴ in standard form:

0.000341

34,100

0.0000341

3,410

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Verified step by step guidance

Understand that rewriting a number in standard form involves expressing it as a decimal number between 1 and 10 multiplied by a power of ten.

Identify the given number: 3.41 × 10^-4. This is already in scientific notation, where 3.41 is the coefficient and 10^-4 is the power of ten.

To convert this into standard decimal form, move the decimal point in the coefficient 3.41 four places to the left, because the exponent is -4.

Moving the decimal point four places to the left from 3.41 results in 0.000341.

Verify the conversion by checking that the number of decimal places moved matches the exponent of ten, ensuring the correct standard form is achieved.