Subjects algebra

Arrange Numbers Bf6461

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1. **State the problem:** Arrange the numbers $0.19 \times 10^0$, $0.019 \times 10^1$, $1.9 \times 10^2$, and $10.9 \times 10^3$ in order from smallest to largest. 2. **Convert each number to standard decimal form:** - $0.19 \times 10^0 = 0.19$ - $0.019 \times 10^1 = 0.019 \times 10 = 0.19$ - $1.9 \times 10^2 = 1.9 \times 100 = 190$ - $10.9 \times 10^3 = 10.9 \times 1000 = 10900$ 3. **Compare the decimal values:** - $0.19$ - $0.19$ - $190$ - $10900$ 4. **Arrange from smallest to largest:** - $0.19$, $0.19$, $190$, $10900$ 5. **Final answer:** $$0.19 \times 10^0 = 0.019 \times 10^1 < 1.9 \times 10^2 < 10.9 \times 10^3$$