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Original
2026-01-01
Modified
2026-02-28
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<p>Subtraction of 4-digit numbers with regrouping is done in the same way as with 1-digit, 2-digit, and 3-digit numbers. Since this involves 4 digits, the place values are thousands, hundreds, tens, and ones. Let’s look at an example: Subtract 4529 from 7384.</p>
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<p>Subtraction of 4-digit numbers with regrouping is done in the same way as with 1-digit, 2-digit, and 3-digit numbers. Since this involves 4 digits, the place values are thousands, hundreds, tens, and ones. Let’s look at an example: Subtract 4529 from 7384.</p>
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<p><strong>Step 1:</strong>Arrange the numbers by place value Write the numbers vertically, with digits aligned according to place value:</p>
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<p><strong>Step 1:</strong>Arrange the numbers by place value Write the numbers vertically, with digits aligned according to place value:</p>
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<p> 7 3 8 4 - 4 5 2 9 ------------- ------------- </p>
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<p> 7 3 8 4 - 4 5 2 9 ------------- ------------- </p>
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<p>Start subtracting from the ones place: Compare 4 (top) and 9 (bottom). Since 4 < 9, we need to borrow.</p>
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<p>Start subtracting from the ones place: Compare 4 (top) and 9 (bottom). Since 4 < 9, we need to borrow.</p>
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<p>Borrowing 1 ten from the tens place (which has 8) converts 4 → 14, and reduces the tens digit from 8 to 7.</p>
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<p>Borrowing 1 ten from the tens place (which has 8) converts 4 → 14, and reduces the tens digit from 8 to 7.</p>
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<p>Now subtract the ones digits: 14 - 9 = 5</p>
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<p>Now subtract the ones digits: 14 - 9 = 5</p>
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<p><strong>Step 2:</strong>Subtract the tens place After borrowing, the tens digits are 7 (top) and 2 (bottom). Since 7 ≥ 2, no borrowing is needed here.</p>
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<p><strong>Step 2:</strong>Subtract the tens place After borrowing, the tens digits are 7 (top) and 2 (bottom). Since 7 ≥ 2, no borrowing is needed here.</p>
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<p>Subtract: 7 - 2 = 5</p>
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<p>Subtract: 7 - 2 = 5</p>
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<p><strong>Step 3:</strong>Subtract the hundreds place Compare hundreds digits: 3 (top) and 5 (bottom). Since 3 < 5, we must borrow.</p>
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<p><strong>Step 3:</strong>Subtract the hundreds place Compare hundreds digits: 3 (top) and 5 (bottom). Since 3 < 5, we must borrow.</p>
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<p>Borrow 1 thousand from the thousands place (which has 7), reducing it to 6 and adding 10 hundreds to the hundreds place:</p>
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<p>Borrow 1 thousand from the thousands place (which has 7), reducing it to 6 and adding 10 hundreds to the hundreds place:</p>
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<p>3 + 10 = 13 3 → 13</p>
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<p>3 + 10 = 13 3 → 13</p>
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<p>Now subtract hundreds digits: 13 - 5 = 8</p>
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<p>Now subtract hundreds digits: 13 - 5 = 8</p>
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<p><strong>Step 4:</strong>Subtract the thousands place After borrowing, the thousands digits are 6 (top) and 4 (bottom). Subtract: 6 - 4 = 2</p>
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<p><strong>Step 4:</strong>Subtract the thousands place After borrowing, the thousands digits are 6 (top) and 4 (bottom). Subtract: 6 - 4 = 2</p>
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<p>So,</p>
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<p>So,</p>
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<p>Ones: 14 - 9 = 5 Tens: 7 - 2 = 5 Hundreds: 13 - 5 = 8 Thousands: 6 - 4 = 2 </p>
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<p>Ones: 14 - 9 = 5 Tens: 7 - 2 = 5 Hundreds: 13 - 5 = 8 Thousands: 6 - 4 = 2 </p>
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<p>Final answer: 7384 - 4529 = 2855</p>
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<p>Final answer: 7384 - 4529 = 2855</p>
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