Subjects arithmetic

Subtraction Methods

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Subtraction Methods


1. **Problem Statement:** Find the difference for each subtraction problem, using the proper subtraction method. 2. **Subtraction with Regrouping:** When the top digit is smaller than the bottom digit in a column, we borrow 1 from the next left column. 3. **Subtraction without Regrouping:** When the top digit is always larger or equal to the bottom digit, subtract directly. --- ### With Regrouping 1. $50 - 14$ - Borrow 1 from the 5 (tens), making it 4 tens. - Units: $0 + 10 - 4 = 6$ - Tens: $4 - 1 = 3$ - Result: $36$ 2. $92 - 73$ - Units: $2 < 3$, borrow 1 from 9 (tens) → 8 tens. - Units: $12 - 3 = 9$ - Tens: $8 - 7 = 1$ - Result: $19$ 3. $83 - 9$ - Treat 9 as $09$. - Units: $3 < 9$, borrow 1 from 8 → 7 tens. - Units: $13 - 9 = 4$ - Tens: $7 - 0 = 7$ - Result: $74$ 4. $36 - 18$ - Units: $6 < 8$, borrow 1 from 3 → 2 tens. - Units: $16 - 8 = 8$ - Tens: $2 - 1 = 1$ - Result: $18$ 5. $64 - 27$ - Units: $4 < 7$, borrow 1 from 6 → 5 tens. - Units: $14 - 7 = 7$ - Tens: $5 - 2 = 3$ - Result: $37$ 6. $71 - 45$ - Units: $1 < 5$, borrow 1 from 7 → 6 tens. - Units: $11 - 5 = 6$ - Tens: $6 - 4 = 2$ - Result: $26$ 7. $24 - 8$ - Treat 8 as $08$. - Units: $4 < 8$, borrow 1 from 2 → 1 ten. - Units: $14 - 8 = 6$ - Tens: $1 - 0 = 1$ - Result: $16$ --- ### Without Regrouping 1. $561 - 140$ - Units: $1 - 0 = 1$ - Tens: $6 - 4 = 2$ - Hundreds: $5 - 1 = 4$ - Result: $421$ 2. $927 - 15$ - Units: $7 - 5 = 2$ - Tens: $2 - 1 = 1$ - Hundreds: $9 - 0 = 9$ - Result: $912$ 3. $843 - 523$ - Units: $3 - 3 = 0$ - Tens: $4 - 2 = 2$ - Hundreds: $8 - 5 = 3$ - Result: $320$ 4. $326 - 124$ - Units: $6 - 4 = 2$ - Tens: $2 - 2 = 0$ - Hundreds: $3 - 1 = 2$ - Result: $202$ 5. $648 - 215$ - Units: $8 - 5 = 3$ - Tens: $4 - 1 = 3$ - Hundreds: $6 - 2 = 4$ - Result: $433$ 6. $789 - 274$ - Units: $9 - 4 = 5$ - Tens: $8 - 7 = 1$ - Hundreds: $7 - 2 = 5$ - Result: $515$ 7. $254 - 21$ - Units: $4 - 1 = 3$ - Tens: $5 - 2 = 3$ - Hundreds: $2 - 0 = 2$ - Result: $233$ --- **Final answers:** With Regrouping: 36, 19, 74, 18, 37, 26, 16 Without Regrouping: 421, 912, 320, 202, 433, 515, 233