Use scientific notation to determine which of these numbers has greatest value:654,987,034;645,897,430; or 546,789,340. Write your answer in scientific notation, expressed to the exact decimal place
To determine which number has the greatest value, we need to express each number in scientific notation and compare their exponents.
654,987,034 = 6.54987034 x 10^8
645,897,430 = 6.45897430 x 10^8
546,789,340 = 5.46789340 x 10^8
Comparing the exponents, we see that all the numbers have the same exponent (10^8). However, the greatest value is determined by the coefficient in front of the power of 10.
Therefore, the number with the greatest value is 654,987,034 in scientific notation: 6.54987034 x 10^8.
To compare these numbers, let's convert them into scientific notation.
654,987,034 can be written as 6.54987034 x 10^8 (moving the decimal point 8 places to the left).
645,897,430 can be written as 6.4589743 x 10^8 (moving the decimal point 8 places to the left).
546,789,340 can be written as 5.4678934 x 10^8 (moving the decimal point 8 places to the left).
Comparing the coefficients (the numbers before the multiplication sign), we can see that 6.54987034 is the largest among the three. Therefore, the number 654,987,034 has the greatest value in scientific notation, expressed to the exact decimal place.
To determine which of these numbers has the greatest value using scientific notation, we need to convert each number into scientific notation.
The first number, 654,987,034, can be expressed as 6.54987034 × 10^8.
The second number, 645,897,430, can be expressed as 6.4589743 × 10^8.
The third number, 546,789,340, can be expressed as 5.4678934 × 10^8.
Comparing the exponents, we can see that all three numbers have the same power of 10. Therefore, the value differences will depend on the coefficients before the power of 10.
Comparing the coefficients, we can observe that the first number, 6.54987034, is greater than the second number, 6.4589743, and the third number, 5.4678934.
Therefore, the number with the greatest value is 654,987,034 when expressed in scientific notation, which is 6.54987034 × 10^8.