Use scientific notation to determine which of these numbers is greater 34,835,760 or 43, 835,760 write your answer in scientific notation expressed to the exact decimal place
To express the numbers in scientific notation, we need to move the decimal point to the right until there is only one non-zero digit to the left of the decimal point.
34,835,760 can be expressed as 3.4835760 × 10^7.
43,835,760 can be expressed as 4.3835760 × 10^7.
Comparing the two numbers, we can see that 4.3835760 × 10^7 (43,835,760) is greater than 3.4835760 × 10^7 (34,835,760).
Therefore, 43,835,760 is greater than 34,835,760.
To determine which number is greater, we can compare the exponents in scientific notation.
The number 34,835,760 can be expressed in scientific notation as 3.4835760 × 10^7.
The number 43,835,760 can be expressed in scientific notation as 4.3835760 × 10^7.
Comparing the exponents, we can see that both numbers have the same exponent, which is 7.
To compare the numbers accurately, we need to compare the coefficients. The coefficient of the second number (4.3835760) is greater than the coefficient of the first number (3.4835760).
Therefore, the number 43,835,760 (4.3835760 × 10^7) is greater than the number 34,835,760 (3.4835760 × 10^7).
To compare these numbers using scientific notation, we need to write them in the form of A x 10^B, where A is a decimal greater than or equal to 1 and less than 10, and B is an integer.
Let's start with the first number, 34,835,760. To express it in scientific notation, we need to move the decimal point until we have a number between 1 and 10. In this case, we will move the decimal point 7 places to the left, giving us 3.4835760. Therefore, we can write the first number in scientific notation as 3.4835760 x 10^7.
Now let's move on to the second number, 43,835,760. Similarly, we move the decimal point until we have a number between 1 and 10. In this case, we will move the decimal point 7 places to the left, resulting in 4.3835760. Thus, we can write the second number in scientific notation as 4.3835760 x 10^7.
In scientific notation, the exponent of 10 (B) represents the number of decimal places we moved the decimal point. As we can see, both numbers have the same exponent of 10^7.
Now, to determine which number is greater, we compare the coefficient (A) of each number. In this case, 4.3835760 is greater than 3.4835760. Hence, the number 43,835,760 is greater than 34,835,760.
Therefore, 43,835,760 is greater than 34,835,760 when expressed in scientific notation to the exact decimal place.