Final answer:
To arrange the decimals 1.7, 0.9, 1.07, and 0.7 in increasing order, compare each decimal place to determine the sequence: 0.7, 0.9, 1.07, and then 1.7.
Step-by-step explanation:
To arrange the decimals in increasing order, we first compare the whole number parts. If these are the same, we then compare the next decimal place to the right, and continue this process until a difference is found. In our case, we want to arrange 1.7, 0.9, 1.07, and 0.7 in ascending order. When looking at the decimal numbers, we must first fill in any missing places with zeros to make comparison easier. To illustrate:
• 1.7 becomes 1.70
• 0.9 remains 0.9
• 1.07 remains 1.07
• 0.7 becomes 0.70
Now, we can compare the decimals place by place:
1. 0.70 - since it has the smallest whole number part (0)
2. 0.9 - next smallest whole number part (0), with a larger tenth place than 0.70
3. 1.07 - smallest of those with a whole number part of 1
4. 1.70 - largest tenth place among those with a whole number part of 1
Therefore, the decimals in increasing order are 0.7, 0.9, 1.07, 1.7.