Use scientific notation to determine which of these numbers is greater: 34,853,760 or 43,835,760. Write your answer in scientific notation, expressed to the exact decimal place.
To convert these numbers into scientific notation, we need to write them in the form of "a × 10^b", where "a" is a number between 1 and 10, and "b" is an integer.
For the number 34,853,760, we can write it as 3.4853760 × 10^7.
For the number 43,835,760, we can write it as 4.3835760 × 10^7.
The exponent (the "b" value) is the same for both numbers (7), so we need to compare the "a" values. In this case, 4.3835760 is greater than 3.4853760.
Therefore, in scientific notation, 43,835,760 is greater than 34,853,760.
To compare the numbers 34,853,760 and 43,835,760 in scientific notation, we need to express them in the form of "a × 10^b" where "a" is a number between 1 and 10, and "b" is an integer.
34,853,760 can be written in scientific notation as 3.485376 × 10^7.
43,835,760 can be written in scientific notation as 4.383576 × 10^7.
Comparing the exponents, we see that both numbers have an exponent of 7.
To determine which number is greater, we compare the coefficients:
3.485376 < 4.383576
Therefore, the number 43,835,760 is greater than 34,853,760 in scientific notation.
To determine which number is greater, we can convert both numbers into scientific notation.
Scientific notation is a way to express numbers as a product of a coefficient and a power of 10. The general form of scientific notation is given by:
A x 10^n
where A is a decimal number between 1 and 10 (inclusive), and n is an integer.
Let's convert the given numbers into scientific notation:
34,853,760 = 3.4853760 x 10^7
43,835,760 = 4.3835760 x 10^7
Now, we can compare the coefficients (the decimal numbers before "x 10^7") to determine which is greater. In this case, 4.3835760 is greater than 3.4853760.
Therefore, the number 43,835,760 is greater than 34,853,760, expressed in scientific notation as 4.3835760 x 10^7.