Which I'd larger?
3.2 × 10¹² or 4.7 × 10¹¹
3.2 × 10¹² is larger than 4.7 × 10¹¹.
The mass of a cruise ship is 37,250,000kg. Estimate the mass using scientific notation, using the greatest place value.
The greatest place value in the mass of the cruise ship, 37,250,000kg, is the hundred millions place.
In scientific notation, this would be written as 3.725 × 10⁷ kg.
To compare which number is larger between 3.2 × 10¹² and 4.7 × 10¹¹, we need to compare the coefficients (the numbers before the 10 raised to a power).
The coefficient for 3.2 × 10¹² is 3.2.
The coefficient for 4.7 × 10¹¹ is 4.7.
Since 4.7 is greater than 3.2, we can conclude that 4.7 × 10¹¹ is larger than 3.2 × 10¹².
To determine which number is larger, you need to compare the values of the exponents of the numbers in scientific notation. In this case, we have:
3.2 × 10¹²
and
4.7 × 10¹¹
The number with the larger exponent is the larger number.
Since 10¹² is greater than 10¹¹, we can conclude that 3.2 × 10¹² is larger than 4.7 × 10¹¹.