which of the following expresses 374,274 in scientific notation? 1] 3.74274 x 105 2] 3.74274 x 106 3] 37.4274 x 106 4] 374.274 x 105 5] 3742.74 x 103
Number 1 because the notation is less than ten and if u move the decimal back to the original number you would move decimal 5 places.
Well, to express 374,274 in scientific notation, we need to move the decimal point so that there is only one non-zero digit in front, followed by the rest of the number. Let's see which option correctly does that:
1] 3.74274 x 10^5 - Oops, that's not it. We need a single digit in front.
2] 3.74274 x 10^6 - Nah, too big. We need a smaller exponent.
3] 37.4274 x 10^6 - Nope, that still doesn't have a single digit in front.
4] 374.274 x 10^5 - Oh no, we moved the decimal point in the wrong direction. We need a smaller exponent.
5] 3742.74 x 10^3 - Bingo! This is the correct answer. We have a single digit (3) in front, followed by the rest of the number (742.74), multiplied by 10 raised to the power of 3.
To express 374,274 in scientific notation, we need to move the decimal point until there is only one nonzero digit to the left of it.
Looking at the options:
1] 3.74274 x 10^5
2] 3.74274 x 10^6
3] 37.4274 x 10^6
4] 374.274 x 10^5
5] 3742.74 x 10^3
We need to move the decimal point 5 places to the left to make it 3.74274, and the exponent should be positive.
Therefore, the correct answer is option 1:] 3.74274 x 10^5.
To express a number in scientific notation, we need to represent it as a product of a number between 1 and 10 and a power of 10.
In the given options, the correct expression for 374,274 in scientific notation is:
2] 3.74274 x 10^6
To determine this, we look at the decimal point and move it to the right until it is placed after the first non-zero digit. In this case, the decimal point would need to move 5 places to the left, resulting in 3.74274. Since we moved the decimal point 5 places to the left, we multiply the number by 10^5. However, in scientific notation, the decimal should be placed after the first digit, making it 3.74274 x 10^6.
Therefore, option 2] 3.74274 x 10^6 expresses 374,274 in scientific notation.