Final answer:
To order the numbers 4/10, 4/5, 0.45, and 0.9 from least to greatest, compare the fractions and decimals to determine their order.
Step-by-step explanation:
To order the numbers 4/10, 4/5, 0.45, and 0.9 from least to greatest, we need to compare the value of each number.
1. First, we compare the fractions 4/10 and 4/5. Both fractions have the same numerator, but the denominator of 4/10 is smaller than the denominator of 4/5. Therefore, 4/10 is smaller than 4/5.
2. Next, we compare the decimals 0.45 and 0.9. Both decimals have the same whole number part (0), but the decimal part of 0.45 is smaller than the decimal part of 0.9. Therefore, 0.45 is smaller than 0.9.
Putting all the numbers in order from least to greatest, we have:
- 4/10
- 0.45
- 4/5
- 0.9