4. Use scientific notation to determine which of these numbers has the least value: 86,659,000; 867,450,000; or 86,423,000. Write your answer in scientific notation, expressed to the exact decimal place.
To find the number with the least value, we need to compare the coefficients (the numbers before the multiplication sign) and the exponents (the numbers after the multiplication sign) in scientific notation.
Converting the given numbers to scientific notation:
86,659,000 = 8.6659 x 10^7
867,450,000 = 8.6745 x 10^8
86,423,000 = 8.6423 x 10^7
Comparing the coefficients, we see that 8.6423 is the smallest value.
Therefore, the number 86,423,000 has the least value in scientific notation: 8.6423 x 10^7.
To determine which number has the least value, we can convert the given numbers into scientific notation and compare their exponents.
86,659,000 can be written as 8.6659 × 10^7.
867,450,000 can be written as 8.6745 × 10^8.
86,423,000 can be written as 8.6423 × 10^7.
Comparing the exponents, we can see that the number with the least value is 86,659,000, written in scientific notation as 8.6659 × 10^7.
To determine which number has the least value, we can convert each number into scientific notation and compare their exponents.
First, let's write each number in scientific notation:
86,659,000 = 8.6659 x 10^7
867,450,000 = 8.6745 x 10^8
86,423,000 = 8.6423 x 10^7
Now we can compare the exponents.
The exponent in scientific notation represents the number of decimal places we need to move the decimal point to the right (if positive) or to the left (if negative) to obtain the original number.
The number with the smallest exponent has the least value.
In this case, the numbers with exponents are:
8.6659 x 10^7 : exponent = 7
8.6745 x 10^8 : exponent = 8
8.6423 x 10^7 : exponent = 7
Comparing the exponents, we find that 8.6745 x 10^8 has the largest exponent (8). Therefore, it has the greatest value among the given numbers.
Hence, the number with the least value in scientific notation is 8.6659 x 10^7, expressed to the exact decimal place.