Question

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

1. (4.27 × 10^8) × (9.2 × 10^-5)
2. (7.95 × 10^-2) × (4.13 × 10^-3)
3. (2.74 × 10^-2) × (4.67 × 10^2)
4. (8.32 × 10^4) × (9.67 × 10^1)
5. (7.25 × 10^5) × (9.36 × 10^-7)
6. (6.96 × 10^5) × (8.43 × 10^-2)
7. (1.89 × 10^4) × (5.92 × 10^3)
8. (7.56 × 10^11) × (5.79 × 10^-8)

Answer 1

To simplify and arrange the given mathematical expressions in order of their values from least to greatest, we need to calculate each expression and then arrange them. The values arranged from least to greatest are: 3.28135 × 10^-4, 6.786 × 10^-1, 1.27858 × 10^0, 3.9314 × 10^4, 5.85728 × 10^4, 4.37124 × 10^4, 8.05144 × 10^6, 1.11968 × 10^8.

Step-by-step explanation:

To simplify and arrange the given mathematical expressions in order of their values from least to greatest, we need to calculate each expression. Let's start by evaluating each expression:

1. (4.27 × 10^8) × (9.2 × 10^-5) = 3.9314 × 10^4
2. (7.95 × 10^-2) × (4.13 × 10^-3) = 3.28135 × 10^-4
3. (2.74 × 10^-2) × (4.67 × 10^2) = 1.27858 × 10^0
4. (8.32 × 10^4) × (9.67 × 10^1) = 8.05144 × 10^6
5. (7.25 × 10^5) × (9.36 × 10^-7) = 6.786 × 10^-1
6. (6.96 × 10^5) × (8.43 × 10^-2) = 5.85728 × 10^4
7. (1.89 × 10^4) × (5.92 × 10^3) = 1.11968 × 10^8
8. (7.56 × 10^11) × (5.79 × 10^-8) = 4.37124 × 10^4

Now, let's arrange these values from least to greatest:

1. 3.28135 × 10^-4
2. 6.786 × 10^-1
3. 1.27858 × 10^0
4. 3.9314 × 10^4
5. 5.85728 × 10^4
6. 4.37124 × 10^4
7. 8.05144 × 10^6
8. 1.11968 × 10^8