Use scientific notation to compare these numbers 12, 740, 876, 635; next one, 345, 763, 334 nest 12, 920, 370, 000 which has the greatest value Would it be 1.345 U 334×10 to the power of nine or 1.2740876635×10 with the power of 10 or 12, 920, 370, 000 or one, 29037×10 to the power of 10

Answer 1

To compare the numbers using scientific notation, we first need to convert each number into scientific notation.

1. 12,740,876,635 in scientific notation:

   • Move the decimal point 10 places to the left:
   • \( 12,740,876,635 = 1.2740876635 \times 10^{10} \)

2. 345,763,334 in scientific notation:

   • Move the decimal point 8 places to the left:
   • \( 345,763,334 = 3.45763334 \times 10^8 \)

3. 12,920,370,000 in scientific notation:

   • Move the decimal point 10 places to the left:
   • \( 12,920,370,000 = 1.292037 \times 10^{10} \)

Now we can compare these numbers:

• 1.2740876635 × 10^10
• 3.45763334 × 10^8
• 1.292037 × 10^10

To compare them, we can already see that the two numbers in \( 10^{10} \) form will be larger than the one in \( 10^{8} \).

Next, we compare the two numbers that are in \( 10^{10} \):

• 1.2740876635 × 10^{10}
• 1.292037 × 10^{10}

Since \( 1.292037 > 1.2740876635 \), we conclude that 1.292037 × 10^{10} (which is equivalent to 12,920,370,000) is the largest number.

Therefore, the greatest value among the three numbers is 12,920,370,000 or 1.292037 × 10^{10}.