Greatest and least – word problems – up to 100
Key notes :
๐Understanding “Greatest” and “Least”:
- Greatest: The largest number in a set.
- Example: In the set 23, 56, and 78, the greatest number is 78.
- Least: The smallest number in a set.
- Example: In the set 23, 56, and 78, the least number is 23.
๐งจIdentifying Keywords in Word Problems:
- Look for Clues: Words like “most,” “least,” “fewest,” “greatest,” “smallest,” and “largest” indicate what to find.
- Example: “Who has the most apples?” suggests finding the greatest number.
๐Steps to Solve Word Problems:
- Read the Problem Carefully: Understand what is being asked.
- Identify the Numbers: Pick out the numbers mentioned in the problem.
- Determine the Question: Are you asked to find the greatest or the least number?
- Compare the Numbers: Use comparison techniques to find the greatest or least.
- Write the Answer: State the greatest or least number as required.
๐Example Word Problems:
- Finding the Greatest:
- “Tom has 23 candies, Sarah has 48 candies, and Ben has 36 candies. Who has the most candies?”
- Solution: Compare 23, 48, and 36. The greatest number is 48, so Sarah has the most candies.
- “Tom has 23 candies, Sarah has 48 candies, and Ben has 36 candies. Who has the most candies?”
- Finding the Least:
- “There are 58 apples, 34 oranges, and 72 bananas in a basket. Which fruit is there the least of?”
- Solution: Compare 58, 34, and 72. The least number is 34, so there are the least oranges.
- “There are 58 apples, 34 oranges, and 72 bananas in a basket. Which fruit is there the least of?”
๐ชPractice with Simple Sets:
- Small Number Sets: Start with sets of two or three numbers.
- Example: “Which is the least: 22, 49, or 17?” (Answer: 17).
- Gradually Increase Difficulty: Move to larger sets or include more complex wording as students gain confidence.
Learn with an example
A real estate agent looked into how many houses were sold in different cities.
House sales
City | Number of houses sold |
Briggs Corner | 61 |
Centre City | 68 |
Parville | 62 |
Liberty City | 67 |
Where were the most houses sold?
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 68.
Now find the corresponding city. Centre City corresponds to 68.
A pumpkin patch monitored the number of pumpkins sold each day.
Pumpkins sold | |
Day | Number of pumpkins |
Saturday | 14 |
Sunday | 13 |
Monday | 11 |
Tuesday | 19 |
On which day did the pumpkin patch sell the fewest pumpkins?
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 11.
Now find the corresponding day. Monday corresponds to 11.
Rob looked over his calendar to see how many times he had soccer practice each month.
Soccer practice | |
Month | Number of practices |
October | 20 |
November | 26 |
March | 27 |
April | 29 |
In which month did Rob have the most soccer practices?
- October
- November
- March
- April
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 29.
Now find the corresponding month. April corresponds to 29.
Let’s practice!๐๏ธ