Mathematics
Grade 3
15 min
Rounding puzzles
Rounding puzzles
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Solve puzzles to find a mystery number that rounds to a given ten.
Solve puzzles to find a mystery number that rounds to a given hundred.
Identify the range of all possible whole numbers that round to a specific ten or hundred.
Use multiple clues, such as digit sums or odd/even properties, to solve a rounding puzzle.
Explain the steps they took to solve a rounding puzzle.
Create their own simple rounding puzzle for a partner to solve.
I'm thinking of a number that rounds to 50, but it has a 7 in it. Can you be a math detective and figure it out? 🕵️♀️
In this lesson, we will become math detectives! We will use our rounding skills to solve fun puzzles and find secret numbers. This helps us get really good at rounding and thinking like a problem solve...
2
Key Concepts & Vocabulary
TermDefinitionExample
RoundingMaking a number simpler and easier to work with, while keeping its value close to what it was. It's like finding the 'friendliest' number nearby.The number 28 is close to 30, so we can round 28 to 30.
Nearest TenThe multiple of 10 (like 10, 20, 30, 40...) that a number is closest to on a number line.For the number 63, the nearest ten is 60.
Nearest HundredThe multiple of 100 (like 100, 200, 300...) that a number is closest to on a number line.For the number 481, the nearest hundred is 500.
MidpointThe number that is exactly in the middle. For rounding to the nearest ten, this is the number that ends in 5.Between 20 and 30, the midpoint is 25.
RangeAll the possible numbers that could be the answer. In rounding, it's all the numbers that rou...
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Core Formulas
Rounding to the Nearest Ten Rule
Look at the digit in the ones place. If the digit is 0, 1, 2, 3, or 4, round down. If the digit is 5, 6, 7, 8, or 9, round up.
Use this rule to decide which ten a number is closer to. Remember: '4 or less, let it rest. 5 or more, raise the score!'
Rounding to the Nearest Hundred Rule
Look at the digit in the tens place. If the digit is 0, 1, 2, 3, or 4, round down. If the digit is 5, 6, 7, 8, or 9, round up.
Use this rule to decide which hundred a number is closer to. You ignore the ones digit and only focus on the tens digit to make your decision.
4 more steps in this tutorial
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Challenging
I am a number between 800 and 900. When rounded to the nearest hundred, I am 900. When rounded to the nearest ten, I am 870. The sum of my digits is 21. What number am I?
A.867
B.876
C.966
D.867
Challenging
A number, N, rounds to 120 (nearest ten). Another number, M, rounds to 80 (nearest ten). What is the smallest possible difference between N and M?
A.31
B.30
C.35
D.40
Challenging
A 3-digit number has a 7 in the tens place. It rounds to 400 when rounded to the nearest hundred. How many different whole numbers fit this description?
A.1
B.10
C.5
D.50
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