Question

number the units in each column from least to greatest.

1. ____ second

____ day
____ minute
____ month
____ week

1. ____ year

____ day
____ century
____ millennium
____ hour

1. ____ leap year

____ second
____ decade
____ year
____ score of years

Explanation:

Problem 10: Ordering second, day, minute, month, week from least to greatest

Step 1: Recall the durations

• Second: A very short unit of time.
• Minute: 60 seconds, so longer than a second.
• Hour: 60 minutes, but we don't have hour here. Day: 24 hours, so longer than a minute.
• Week: 7 days, longer than a day.
• Month: Approximately 4 weeks (varies, but generally longer than a week).

Step 2: Order from least to greatest

1. second (shortest)
2. minute (longer than second)
3. day (longer than minute)
4. week (longer than day)
5. month (longer than week)

Step 1: Recall the durations

• Hour: 60 minutes, short.
• Day: 24 hours, longer than hour.
• Year: 365 (or 366) days, longer than day.
• Century: 100 years, longer than year.
• Millennium: 1000 years, longer than century.

Step 2: Order from least to greatest

1. hour (shortest)
2. day (longer than hour)
3. year (longer than day)
4. century (longer than year)
5. millennium (longer than century)

Step 1: Recall the durations

• Second: Shortest.
• Year: 365/366 days. Leap year is a type of year (366 days), so same order as year for length comparison (leap year ≈ year in duration scale here, just a type of year).
• Decade: 10 years, longer than year.
• Score of years: 20 years, longer than decade.

Step 2: Order from least to greatest

1. second (shortest)
2. year (or leap year, since leap year is a year)
3. decade (10 years, longer than year)
4. score of years (20 years, longer than decade)
5. (Note: Leap year is a year, so we can consider leap year and year as similar in length for ordering. So order: second, year (leap year), decade, score of years. Wait, correction: leap year is a year with 366 days, so it's a type of year. So the units: second, year (leap year), decade (10 years), score (20 years). Wait, original units: leap year, second, decade, year, score of years. So:

1. second (shortest)
2. year (and leap year is a year, so year/leap year next)
3. decade (10 years, longer than year)
4. score of years (20 years, longer than decade)

Wait, no: leap year is a year, so year (leap year) is same as year in length. So:

1. second
2. year (leap year)
3. decade (10 years)
4. score of years (20 years)

Wait, but the units are leap year, second, decade, year, score of years. So we need to order all five? Wait, no: the units are: leap year, second, decade, year, score of years. Wait, that's five units? Wait, no, let's list them:

• second
• year (and leap year is a year, so year/leap year)
• decade (10 years)
• score of years (20 years)

Wait, maybe I miscounted. The units are: leap year, second, decade, year, score of years. So five units. Let's re-express:

• Second: shortest.
• Year: 365 days. Leap year: 366 days (so leap year ≈ year in duration, just a type of year). So year and leap year are similar in length.
• Decade: 10 years (longer than year).
• Score of years: 20 years (longer than decade).

So order:

1. second
2. year (or leap year – since leap year is a year, we can put year and leap year as 2 and 3? Wait, no: leap year is a year, so they are the same in terms of the "year" unit. So the units to order: second, year, leap year, decade, score of years? No, the units are: leap year, second, decade, year, score of years. So we need to order these five. Wait, maybe the problem considers leap year as a year, so year and leap year are both "year" - type units. So:

1. second (shortest)
2. year (or leap year – let's take year first, then leap year? No, leap year is a year, so they are equivalent in length. So maybe:

1. second
2. year
3. leap year? No, that's wrong. Leap year is a year, so it's the same as year. So perhaps the problem considers leap year as a year, so the order is:

1. second
2. year (leap year is a year, so year/leap year)
3. decade (10 years)
4. score of years (20 years)

Wait, no, the five units are: leap year, second, decade, year, score of years. So we have to order all five. Let's list their durations:

• Second: ~1 second.
• Year: 365 days.
• Leap year: 366 days (so slightly longer than year, but for ordering, we can consider them as "year" - level).
• Decade: 10 years.
• Score of years: 20 years.

So the order from least to greatest:

1. second (shortest)
2. year (365 days)
3. leap year (366 days, longer than year, but wait, no – 366 days is longer than 365, so leap year is longer than a common year. Oh! I made a mistake earlier. Leap year has 366 days, so it's longer than a non - leap year (common year). So:

• Second: shortest.
• Year (common year): 365 days.
• Leap year: 366 days (longer tha…

Answer:

1. second
2. minute
3. day
4. week
5. month

Problem 11: Ordering year, day, century, millennium, hour from least to greatest