Right here we are going to be taught
multiplying 3-digit quantity by 1-digit quantity.
In two differing kinds we
will be taught to multiply a three-digit quantity by a one-digit quantity.
Aultiplication of 3-digit Quantity by 1-digit Quantity with Regrouping:
1. Multiply 201 by 3
Step I: Organize the numbers vertically. Step II: Multiply the digit on the ones place by 3. 1 × 3 = 3 ones Step III: Now multiply the digit on the tens place by 3. 0 × 3 = 0 tens Step IV: Now multiply the digit on the tons of place by 3. 2 × 3 = 6 tons of |
Thus, 201 × 3 = 603 |
Multiplication of 3-digit Quantity by 1-digit Quantity with Regrouping:
1. Multiply 246 by 4
Step I: Organize the numbers vertically. Step II: Multiply the digit on the ones place by 4. 6 × 4 = 24 = 2 tens + 4 ones Write 4 within the ones column and carry over 2 to the tens Step III: Now multiply the digit on the tens place by 4. 4 × 4 = 16 tens Now, 16 + 2 (carry over) = 18 tens = 1 hundred + 8 tens Step IV: Now multiply the digit on the tons of place by 4. 2 × 4 = 8 tons of Now, 8 + 1 (carry over) = 9 hundred |
Thus, 246 × 4 = 984 |
2. Multiply 453 by 6.
Step I: Organize the numbers vertically. Step II: Multiply the digit on the ones place by 6. 6 × 3 = 18 = 1 tens + 8 ones Write 8 within the ones column and carry over 1 to the tens Step III: Now multiply the digit on the tens place by 6. 6 × 5 = 30 tens Now, 30 + 1 (carry over) = 31 tens = 3 hundred + 1 tens Write 1 within the tens column and carry over 3 to the hundred  Step IV: Now multiply the digit on the tons of place by 6. 6 × 4 = 24 tons of Now, 24 + 3 (carry over) = 27 tons of = 2 1000’s and seven Write 7 on the tens place and a pair of on the 1000’s place. |
Thus, 453 × 6 = 2718 |
3. Multiply 221 by 2.
        H   T   O         2   2   1            ×   2         4   4    2 |
First-Multiply ones by 2. 2 × 1 = 2. write 2 below O. Then-Multiply tens by 2. 2 × 2 = 4, write 4 below T. Eventually-Multiply tons of by 2. 2 × 2 = 4. write 4 below H. |
4. Multiply 167 by 2.
        H   T   O         1   1         1   6   7            ×   2         3   3    4 |
7 × 2 = 14 = 1 ten + 4 ones. write 4 below O. Carry 1 ten. 6 × 2 = 12 + 1 = 13 13 = 1 hundred + 3 tens. write 3 below T. Carry 1 hundred. 2 × 1 = 2 + 1 = 3 write 3 below H. |
Questions and Solutions on Multiplying 3-Digit Quantity by 1-Digit Quantity:
Multiplying 3-Digit Quantity by 1-Digit Quantity withb gt Regrouping:
I. Multiply the next:
(i) 134 × 2
(ii) 320 × 3
(iii) 112 × 4
(iv) 301 × 2
(v) 202 × 2
(vi) 131 × 3
(vii) 220 × 4
(viii) 303 × 3
Reply:
I. (i) 268
(ii) 960
(iii) 448
(iv) 602
(v) 404
(vi) 393
(vii) 880
(viii) 909
Multiplying 3-Digit Quantity by 1-Digit Quantity with Regrouping:
II. Multiply the next:
(i) 237 × 4
(ii) 142 × 7
(iii) 235 × 4
(iv) 408 × 2
(v) 145 × 6
(vi) 126 × 3
(vii) 435 × 2
(viii) 157 × 5
Reply:
II. (i) 948
(ii) 994
(iii) 940
(iv) 816
(v) 870
(vi) 378
(vii) 870
(viii) 785
III. Multiply the next:
(i) 467 × 8
(ii) 706 × 7
(iii) 982 × 9
(iv) 351 × 6
(v) 738 × 5
(vi) 288 × 7
Reply:
III. (i) 3736
(ii) 4942
(iii) 8838
(iv) 1806
(v) 3690
(vi) 2016
IV. Multiply the Following 3-Digit Numbers by 1-Digit Quantity:
(i)         H   T   O         3   1   3            ×   2                   |
(ii)         H   T   O         8   6   6            ×   1                   |
(iii)         H   T   O         2   1   0            ×   3                   |
(iv)         H   T   O         0   0   3            ×   2                   |
(v)         H   T   O         1   1   7            ×   1                   |
(vi)         H   T   O         1   1   4            ×   4                   |
(vii)         H   T   O         2   1   5            ×   3                   |
(viii)         H   T   O         1   1   2            ×   6                   |
(ix)         H   T   O         1   2   3            ×   4                   |
(x)         H   T   O         3   0   3            ×   7                   |
(xi)         H   T   O         1   7   4            ×   3                   |
(xii)         H   T   O         2   8   5            ×   8                   |
(xii)         H   T   O         2   3   4            ×   4                   |
(xiv)         H   T   O         3   3   2            ×   6                   |
(xv)         H   T   O         4   5   2            ×   5                   |
V. Multiply and Fill within the Blanks:
(i) 222 × 3 = _____
(ii) 212 × 4 = _____
(iii) 323 × 2 = _____
(iv) 112 × 5 = _____
(v) 124 × 4 = _____
(vi) 225 × 9 = _____
(vii) 666 × 6 = _____
(viii) 444 × 5 = _____
(ix) 245 × 7 = _____
(x) 145 × 4 = _____
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