Question

Write the following numbers in standard form and compare them:

A) 6.7 x 10^(-11) and 4.7 x 10^(-12)
B) 6.7 x 10^(-11) = 4.7 x 10^(-12)
C) 6.7 x 10^(-11) < 4.7 x 10^(-12)
D) 6.7 x 10^(-11) > 4.7 x 10^(-12)

Answer 1

When written in standard form, 6.7 x 10^(-11) becomes 0.000000000067 and 4.7 x 10^(-12) becomes 0.0000000000047. By comparing these, 6.7 x 10^(-11) is greater than 4.7 x 10^(-12) because 0.000000000067 is a larger number than 0.0000000000047.

Step-by-step explanation:

To write the numbers in standard form (also known as standard notation), we express them as ordinary decimal numbers without exponents. Comparing these two numbers, 6.7 x 10^(-11) and 4.7 x 10^(-12):

• Standard form of 6.7 x 10^(-11): 0.000000000067
• Standard form of 4.7 x 10^(-12): 0.0000000000047

Comparing the two:

• 6.7 x 10^(-11) = 0.000000000067
• 4.7 x 10^(-12) = 0.0000000000047
• 6.7 x 10^(-11) > 4.7 x 10^(-12) because 0.000000000067 is greater than 0.0000000000047.