Question

Divide 2.875×10^6 by 2.3×10^ 3

.
a) 1.25×10^3
b) 0.575×10^2
c) 0.575×10^3
d) 1.25×10^2

Answer 1

To divide 2.875×106 by 2.3×103, divide the coefficients and subtract the exponents of 10 to get the answer, which is 1.25×103. Expressing 6.022 × 1023 in standard notation would result in a very large number with 23 zeroes after 6022.

Step-by-step explanation:

To solve the problem of dividing 2.875×106 by 2.3×103, we first divide the coefficients (2.875 ÷ 2.3) and then subtract the exponents of 10 (6 - 3), as is the rule for dividing numbers in scientific notation. Dividing the coefficients gives us 1.25, and subtracting the exponents gives us 103. Hence, the correct answer is 1.25×103, which corresponds to option a).

To express 6.022 × 1023 in standard notation, you would write out the number 6.022 followed by 23 zeroes. This exercise helps in understanding large numbers commonly used in scientific contexts, such as Avogadro's number.