A focused Grade 4 learning session for Rounding Multi-Digit Whole Numbers using visual models, worked examples, strategy guidance, and a short mastery check.
Student goal: I can round a multi-digit whole number to a given place.
Rounding Multi-Digit Whole Numbers means using place value, operations, and equations to reason accurately with numbers.
Question: Using the number line, which number just below \(3{,}500\) rounds to \(3{,}500\) when rounded to the nearest hundred?
Why it works: In \(3{,}450\), the tens digit is \(5 \geq 5\), so round UP to \(\mathbf{3{,}500}\) \checkmark. On the number line: \(3{,}449\) rounds to \(3{,}400\); \(3{,}500\) stays the same; \(3{,}551\) rounds to \(3{,}600\).
Answer: \(3{,}450\)
Question: What is \(45{,}782\) rounded to the nearest thousand?
Answer: \(46{,}000\)
Question: Round \(3{,}264\) to the nearest hundred.
Answer: \(3{,}300\)
Question: A store ordered \(5{,}887\) pencils. Round to the nearest thousand to estimate how many pencils were ordered.
Why it works: We're rounding to the nearest thousand. Look at the hundreds digit: \(8\). Since \(8 \geq 5\), we round UP! The thousands digit goes from \(5\) to \(6\), giving us \(\mathbf{6{,}000}\) pencils. \checkmark
Answer: \(6{,}000\)
Rounding Multi-Digit Whole Numbers becomes easier when students connect the question to a model, use clear steps, and explain why the answer fits.
Understand the model before choosing the operation.
Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.
What is \(45{,}782\) rounded to the nearest thousand?
Answer C: \(46{,}000\)
We're rounding to the nearest thousand. Look at the hundreds digit: \(7\). Since \(7 \geq 5\), we round UP! Change the thousands digit from \(5\) to \(6\), and the answer is \(\mathbf{46{,}000}\). \checkmark
Round \(3{,}264\) to the nearest hundred.
Answer D: \(3{,}300\)
We're rounding to the nearest hundred. Look at the tens digit: \(6\). Since \(6 \geq 5\), we round UP! The hundreds digit goes from \(2\) to \(3\), giving us \(\mathbf{3{,}300}\). \checkmark
What is \(7{,}149\) rounded to the nearest ten?
Answer D: \(7{,}150\)
We're rounding to the nearest ten. Look at the ones digit: \(9\). Since \(9 \geq 5\), we round UP! The tens digit changes from \(4\) to \(5\), so the answer is \(\mathbf{7{,}150}\). \checkmark
Which number rounds to \(5{,}000\) when rounded to the nearest thousand?
Answer D: \(5{,}450\)
To round to the nearest thousand, check the hundreds digit in \(5{,}450\): it's \(4\). Since \(4 < 5\), we round DOWN to \(\mathbf{5{,}000}\). \checkmark
Round \(8{,}756\) to the nearest hundred.
Answer D: \(8{,}800\)
We're rounding to the nearest hundred. Look at the tens digit: \(5\). Since \(5 \geq 5\), we round UP! The hundreds digit goes from \(7\) to \(8\), giving us \(\mathbf{8{,}800}\). \checkmark
What is \(12{,}389\) rounded to the nearest thousand?
Answer D: \(12{,}000\)
We're rounding to the nearest thousand. Look at the hundreds digit: \(3\). Since \(3 < 5\), we round DOWN and keep the thousands digit as \(2\), giving us \(\mathbf{12{,}000}\). \checkmark
Round \(56{,}841\) to the nearest thousand.
Answer D: \(57{,}000\)
We're rounding to the nearest thousand. Look at the hundreds digit: \(8\). Since \(8 \geq 5\), we round UP! The thousands digit changes from \(6\) to \(7\), so the answer is \(\mathbf{57{,}000}\). \checkmark
What is \(2{,}735\) rounded to the nearest ten?
Answer D: \(2{,}740\)
We're rounding to the nearest ten. Look at the ones digit: \(5\). Since \(5 \geq 5\), we round UP! The tens digit goes from \(3\) to \(4\), giving us \(\mathbf{2{,}740}\). \checkmark
Round \(31{,}456\) to the nearest hundred.
Answer D: \(31{,}500\)
We're rounding to the nearest hundred. Look at the tens digit: \(5\). Since \(5 \geq 5\), we round UP! The hundreds digit changes from \(4\) to \(5\), giving us \(\mathbf{31{,}500}\). \checkmark
Which statement is true when rounding to the nearest hundred?
Answer A: \(6{,}293\) rounds to \(6{,}300\)
We're rounding to the nearest hundred, so check the tens digit of each. Option A (\(6{,}293\)): tens digit is \(9 \geq 5\), rounds UP to \(\mathbf{6{,}300}\). \checkmark Option B (\(6{,}234\)): tens digit is \(3 < 5\), rounds DOWN to \(6{,}200\) (not \(6{,}300\)). Option C (\(6{,}249\)): tens digit is \(4 < 5\), rounds DOWN to \(6{,}200\) (not \(6{,}250\)). Option D (\(6{,}251\)): tens digit is \(5 \geq 5\), rounds UP to \(6{,}300\) (not \(6{,}200\)).
Round \(4{,}607\) to the nearest ten.
Answer D: \(4{,}610\)
We're rounding to the nearest ten. Look at the ones digit: \(7\). Since \(7 \geq 5\), we round UP! The tens digit goes from \(0\) to \(1\), giving us \(\mathbf{4{,}610}\). \checkmark
