1. **State the problem:** We want to evaluate the number 127.143 step by step using place value. 2. **Understand place values:** Each digit in a decimal number has a place value depending on its position relative to the decimal point. 3. **Break down the number 127.143:** - The digit 1 is in the hundreds place, so its value is $1 \times 100 = 100$. - The digit 2 is in the tens place, so its value is $2 \times 10 = 20$. - The digit 7 is in the ones place, so its value is $7 \times 1 = 7$. - The digit 1 is in the tenths place, so its value is $1 \times 0.1 = 0.1$. - The digit 4 is in the hundredths place, so its value is $4 \times 0.01 = 0.04$. - The digit 3 is in the thousandths place, so its value is $3 \times 0.001 = 0.003$. 4. **Add all the values together:** $$100 + 20 + 7 + 0.1 + 0.04 + 0.003 = 127.143$$ 5. **Conclusion:** The number 127.143 is composed of these place values added together, confirming its value step by step.