Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value

Answer 1

To compare the numbers 364,879; 463,000; and 436,765 using scientific notation, we first convert each number:

1. 364,879 can be expressed in scientific notation as \(3.64879 \times 10^5\).
2. 463,000 can be expressed as \(4.63 \times 10^5\).
3. 436,765 can be expressed as \(4.36765 \times 10^5\).

Now, we can compare the coefficients (the numbers before the exponent):

• \(3.64879\)
• \(4.63\)
• \(4.36765\)

Since \(3.64879\) is the smallest among these coefficients, we can conclude:

• 364,879 has the least value.

So, the number with the least value is 364,879.

Answer 2

Use scientific notation to compare these numbers: 12,740,876,635; 1,345,763,334; and 12,920,370,000, which has the greatest value?

Answer 3

To compare the numbers \( 12,740,876,635 \), \( 1,345,763,334 \), and \( 12,920,370,000 \) using scientific notation, we first convert each number:

1. 12,740,876,635 can be expressed in scientific notation as \( 1.2740876635 \times 10^{10} \).
2. 1,345,763,334 can be expressed as \( 1.345763334 \times 10^{9} \).
3. 12,920,370,000 can be expressed as \( 1.292037 \times 10^{10} \).

Now, we can compare the values:

• For \( 12,740,876,635 \): \( 1.2740876635 \times 10^{10} \)
• For \( 1,345,763,334 \): \( 1.345763334 \times 10^{9} \) (note that \( 10^9 \) is smaller than \( 10^{10} \), so this will be the smallest value)
• For \( 12,920,370,000 \): \( 1.292037 \times 10^{10} \)

Since \( 12,920,370,000 \) has the highest coefficient among the numbers expressed with the same exponent of \( 10^{10} \), we can conclude:

• 12,920,370,000 is the greatest value among the three numbers.