Grade 2
Grade 2 math: Comparing and ordering numbers
By Tutorizer · 3 min read · The math examples come from our own lessons and are checked by our tools.
If your child is in Grade 2, the topic "Comparing and ordering numbers" is one of the ideas where confidence is most often won or lost. Here is what it means in plain words, a worked example you can follow together, and a few simple ways to help at home.
What Grade 2 children learn
- Compare two numbers by starting at the biggest place, and use more than, less than, > and <
- Put three or four numbers in order, least to greatest and greatest to least
- Place a number on a number line and tell which marks it is between
The key ideas
- To compare numbers, start with the biggest place: hundreds first, then tens, then ones.
- The number with more hundreds is greater. If the hundreds match, look at the tens, and then the ones.
- A number with no hundreds is less than any number with a hundred in it.
- The signs are > (greater than), < (less than) and = (the same). The open mouth points at the greater number.
- On a number line, numbers farther to the right are greater.
Quick examples
- 134 > 129, because the hundreds match and 3 tens is more than 2 tens
- 98 < 101, because 98 has no hundreds and 101 has 1 hundred
- Least to greatest: 87, 107, 170, 178
- On a number line marked 0, 50, 100, 150 and 200, the number 140 sits between 100 and 150, closer to 150
A worked example
Put these in order from greatest to least: 92, 129, 119, 99.
- Only 129 and 119 have a hundred, so they are the two greatest.
- Compare 129 and 119: the hundreds match, and 2 tens is more than 1 ten, so 129 is greater.
- Compare 92 and 99: no hundreds, the tens match, and 9 ones is more than 2 ones, so 99 is greater than 92.
- Greatest to least: 129, 119, 99, 92.
Answer: 129, 119, 99, 92
How to help at home
- Ask your child to explain the first step of the worked example in their own words before you show them anything.
- Work through the "Try it yourself" question together, and talk about why the answer makes sense.
- Spend a few minutes a day on the free Tutorizer "Comparing and ordering" practice. Short and regular beats long and rare.
- If a step feels shaky, go back to the key ideas above and use objects, drawings or a number line.
Try it yourself
Put these in order from least to greatest: 156, 165, 56, 151.
Show the answer
Answer: 56, 151, 156, 165
- 56 has no hundreds, so it is the least.
- 156, 165 and 151 all have 1 hundred, so compare the tens: 5, 6 and 5. The 6 tens makes 165 the greatest.
- 156 and 151 have the same tens, so compare the ones: 1 is less than 6, so 151 is less than 156.
- From least to greatest: 56, 151, 156, 165.
Want a challenge?
Use the digits 4, 0 and 7 once each to make the smallest and the biggest 3-digit number (a 0 cannot go first).
Show the answer
Answer: 407; 740
Next steps
Not sure where your child stands? Start with a free 15-question check-in. It takes about 15 minutes, has no pass or fail, and shows what is solid and what needs practice.
Start the free check-inPractice with the free math games, no card needed.
Play the free gamesWant live help? Take a look at Grade 2 Toughest Topics, taught live on Zoom in a small group.
See the program