Question

1) Shannon and Kristoph are dividing numbers written in scientific notation.

Shannon’s expression: Kristoph’s expression:

4.2x10^9 4.2x10^2
1.4x10^4 1.4x10^-3

A) Without completing the division, explain how you can determine that their answers will have the same value.

B) What is the value of their expressions written in scientific notation?

C) What is the value of their expressions written in standard form?

Please Help

Answer 1

(A)

The answers will have the same value, beacuse both scientific notations have the same coefficient, 4.2 and 1.4. Also, if you mentally subtract the exponents of those powers, you would have the same exponent. So, equal coefficient and equal exponent will give the same result.

(B)

The value of each expression can be found by dividing coefficients and powers.

`(4.2 * 10^(9) )/(1.4 * 10^(4) )=3 * 10^(9-4) = 3 * 10^(5)`

(C)

The value of each expression in standard form is

`3 * 10^(5)=300,000`

Remember that standard form refers to the number without the ten-power.