Question

Simplify the mathematical expressions and arrange them in order of their values from least to greatest. ↓ ↓ ↓ ↓

Answer 1

Answer and Step-by-step explanation:

To simplify algebraic expressions, follow the basic rules:

1. Remove brackets or parentheses by multiplying factors;

2. Use exponent rule to remove grouping, if terms have exponents;

3. Add or subtract like terms;

4. Combine constants;

In the expressions above, there only constants and scientific notations, i.e., exponents elevated on a base 10. So, to simplify, we multiply the numbers and add the exponents:

(4.27 x 10⁸)(9.2 x 10⁻⁵) = 39.28 x 10³

(6.96 x 10⁵)(8.43 x 10⁻²) = 58.67 x 10³

`((7.25.10^(5))(9.36.10^(-7)))/((7.95.10^(-2))(4.13.10^(-3)))=` 2.07 x 10³

`((8.32.10^(4))(9.67.10^(1)))/((7.56.10^(11))(5.79.10^(-8)))` = 1.84 x 10²

`((1.89.10^(4))(5.92.10^(3)))/((2.74.10^(-2))(4.67.10^(2)))=` 0.875 x 10⁷

All the exponents are positive, which means, comma "moves" to the right.

The numbers arranged from least to greatest will be

1.84 x 10² < 2.07 x 10³ < 39.28 x 10³ < 58.67 x 10³ < 0.875 x 10⁷