Question

Work out the value of (6.8 x 10^7) < (1.3 x 10^8)

a) 6.8×10^7 <1.3×10^8

b) 6.8×10^7>1.3×10^8

c) 6.8×10^7=1.3×10^8

d) 6.8×10^7≥1.3×10^8

Answer 1

To compare (6.8 x 10^7) and (1.3 x 10^8), we look at the coefficients because the exponents are the same. As 6.8 is less than 1.3, (6.8 x 10^7) is less than (1.3 x 10^8), making option a) the correct answer.

Step-by-step explanation:

The question asks to work out the value of (6.8 x 10^7) < (1.3 x 10^8). To compare these two numbers in scientific notation, we look at the exponents and the coefficients. Both numbers have the same base (10), so we can directly compare the coefficients, 6.8 and 1.3, since the exponents are the same. It is clear that 6.8 is less than 1.3 when the exponents are equal, meaning 6.8 x 10^7 is less than 1.3 x 10^8. Therefore, the correct answer is a) 6.8×10^7 < 1.3×10^8.