How many leap years are there between 2000 and 2020, inclusive?
Practice Questions
Q1
How many leap years are there between 2000 and 2020, inclusive?
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Questions & Step-by-Step Solutions
How many leap years are there between 2000 and 2020, inclusive?
Correct Answer: 6
Step 1: Understand what a leap year is. A leap year is a year that is divisible by 4, except for years that are divisible by 100, unless they are also divisible by 400.
Step 2: List the years from 2000 to 2020, inclusive. This means we include both 2000 and 2020.
Step 3: Check each year in the list to see if it is a leap year.
Step 4: Start with the year 2000. It is divisible by 4, so it is a leap year.
Step 5: Check the next year, 2001. It is not divisible by 4, so it is not a leap year.
Step 6: Check 2002. It is not divisible by 4, so it is not a leap year.
Step 7: Check 2003. It is not divisible by 4, so it is not a leap year.
Step 8: Check 2004. It is divisible by 4, so it is a leap year.
Step 9: Check 2005. It is not divisible by 4, so it is not a leap year.
Step 10: Check 2006. It is not divisible by 4, so it is not a leap year.
Step 11: Check 2007. It is not divisible by 4, so it is not a leap year.
Step 12: Check 2008. It is divisible by 4, so it is a leap year.
Step 13: Check 2009. It is not divisible by 4, so it is not a leap year.
Step 14: Check 2010. It is not divisible by 4, so it is not a leap year.
Step 15: Check 2011. It is not divisible by 4, so it is not a leap year.
Step 16: Check 2012. It is divisible by 4, so it is a leap year.
Step 17: Check 2013. It is not divisible by 4, so it is not a leap year.
Step 18: Check 2014. It is not divisible by 4, so it is not a leap year.
Step 19: Check 2015. It is not divisible by 4, so it is not a leap year.
Step 20: Check 2016. It is divisible by 4, so it is a leap year.
Step 21: Check 2017. It is not divisible by 4, so it is not a leap year.
Step 22: Check 2018. It is not divisible by 4, so it is not a leap year.
Step 23: Check 2019. It is not divisible by 4, so it is not a leap year.
Step 24: Check 2020. It is divisible by 4, so it is a leap year.
Step 25: Count all the leap years found: 2000, 2004, 2008, 2012, 2016, and 2020. That gives us a total of 6 leap years.
Leap Year Calculation – Understanding the rules for determining leap years, which include years divisible by 4, but not divisible by 100 unless also divisible by 400.
