use scientific notation to determine which of the numbers is greater: 34,835,760 or 43,835,760. write your answers in scientific notation, expressed to the exact decimal place.
To compare the two numbers 34,835,760 and 43,835,760, we can convert them into scientific notation.
34,835,760 can be written in scientific notation as 3.4835760 x 10^7.
43,835,760 can be written in scientific notation as 4.3835760 x 10^7.
Comparing the exponents, we can see that both numbers have the same exponent, which is 7.
Comparing the coefficients, we can see that the coefficient of 4.3835760 is greater than the coefficient of 3.4835760.
Therefore, 43,835,760 is greater than 34,835,760 in scientific notation.
Well, I could use scientific notation to answer your question, but I think I'll take a different approach. Let's put on our detective hats and do some investigating.
First, we notice that both numbers are quite large.
The number 34,835,760 can be written in scientific notation as 3.483576 × 10^7, since we move the decimal point 7 places to the left.
The number 43,835,760 can be written as 4.383576 × 10^7, using the same process.
Now, let's analyze these numbers. Both have the same coefficient, 3.483576, and 4.383576, respectively.
Since the coefficient is greater in the second number (4.383576 > 3.483576), we can conclude that the second number, 43,835,760, is greater than the first number, 34,835,760.
So, in scientific notation, the greater number is 4.383576 × 10^7. Case closed!
To determine which of the numbers is greater, let's write them in scientific notation:
34,835,760 can be written as 3.483576 × 10^7
43,835,760 can be written as 4.383576 × 10^7
Comparing the exponents, we can see that both numbers have the same power of 10.
Now, let's compare the coefficients:
3.483576 < 4.383576
Therefore, the number 43,835,760 (4.383576 × 10^7) is greater than 34,835,760 (3.483576 × 10^7).
To determine which number is greater between 34,835,760 and 43,835,760, you can convert them both into scientific notation and compare their exponents.
Here's how to convert each number into scientific notation:
34,835,760 = 3.4835760 x 10^7 (move the decimal point 7 places to the left)
43,835,760 = 4.3835760 x 10^7 (move the decimal point 7 places to the left)
Now, you can compare the exponents:
Since both numbers have the same exponent of 10^7, you can compare the coefficient directly to determine which number is greater.
The coefficient of 4.3835760 is greater than the coefficient of 3.4835760, so 43,835,760 is greater than 34,835,760.
Therefore, the answer is:
34,835,760 = 3.4835760 x 10^7
43,835,760 = 4.3835760 x 10^7