Right here we’ll be taught to multiply a 2-digit quantity with a 1-digit quantity. We are going to be taught to multiply a two-digit quantity with a one-digit quantity in two alternative ways.
Examples of multiplication with out regrouping 2-digit quantity with 1-digit quantity:
Here is a fast evaluation of multiplying a 2-digit quantity by a 1-digit quantity with out regrouping:
1. Multiply 24 by 2.
|
T HE 2 4 × 2 4 8 |
Multiply these first by 2. 4 × 2 = 8. write 8 beneath HE. Now multiply the tens by 2. 3 × 3 = 9. write 9 below T. |
2. Multiply 34 by 2
Resolution:
|
Step I: Organize the numbers vertically. Step II: First, multiply the quantity within the ones place by 2. 2 × 4 = 8 grains Step III: Now multiply the digit within the tens place by 2. 2 × 3 = 6 tens |
So 34 × 2 = 68 |
3. Multiply 20 by 3 utilizing the expanded kind
Resolution:
20 → 2 tens + 0 ones
× 3 → × 3
6 tens + 0 ones
= 60 + 0
= 60
Subsequently, 20 × 3 = 60
4. Multiply 50 by 1 utilizing the brief kind
Resolution:
50 → 50
× 1 → × 1
0 50
(i) The primary digit of a digit is multiplied by 1 i.e. 0 × 1 = 0
(ii) Then the digit within the tens place is multiplied by 1 i.e. 5 tens × 1 = 5 tens
Therefore, 50 × 1 = 50
Examples of multiplying 2-digit quantity by 1-digit quantity with regrouping:
1. Multiply 66 by 3
|
T HE one 6 6 × 3 one 4 8 |
Multiply these first by 3. 6 × 3 = 18 = one ten + 8 one write 8 beneath HE. carry 1 ten Now multiply them by 3. 6×3=18 Add 1 to the product. 18 + 1 = 19 |
2. Multiply 25 by 3
|
Step I: Organize the numbers vertically. Step II: First, multiply the quantity within the ones place by 3. 3 × 5 = 15 = 1 ten + 5 one Kind 5 within the ones column and transfer 1 within the tens column Step III: Now multiply the digit within the tens place by 3. 3 × 2 = 6 tens Now, 6 + 1 (carry) = 7 tens |
 So 25 × 3 = 75 |
3. Multiply 46 by 4
|
Step I: Organize the numbers vertically. Step II: Multiply the quantity within the ones place by 4. 6 × 4 = 24 = 2 tens + 4 ones Kind 4 within the ones column and transfer 2 within the tens column Step III: Now multiply the digit within the tens place by 4. 4 × 4 = 16 tens Now, 16 + 2 (carry) = 18 decimals = 1 hundred + 8 decimals Write 8 within the tens digit and 1 within the hundred digits. |
 So 46×4=184 |
4. Multiply 20 by 3 utilizing the expanded kind
Resolution:
20 → 2 tens + 0 ones
× 3 → × 3
6 tens + 0 ones
= 60 + 0
= 60
Subsequently, 20 × 3 = 60
5. Multiply 26 by 7 utilizing the expanded kind
Resolution:
26 → 20 + 6 → 2 tens + 6 ones
× 7 → × 7 → × 7
(2 × 7) tens + (6 × 7) ones
2 tens + 6 ones
× 7 ones
14 tens + 42 ones
= 14 tens + (40 + 2) ones
= 14 tens + 4 tens + 2 ones
= 18 tens + 2 ones
= 180 + 2
= 182
Subsequently, 26 × 7 = 182
6. Multiply 48 by 6 utilizing the brief kind
Resolution:
48
× 6
24 ← 48
= 28 ten 8 one
= 288
Therefore, 48 × 6 = 288
(i) It’s written from the 48×6 column.
(ii) 8 items multiplied by 6, so 6 × 8 = 48 one = 4 tens + 8 ones
8 single columns are written and 4 decimals are obtained.
(iii) The 4 received strikes to the tens column.
(iv) Now 4 tens multiplied by 6, so 4 tens × 6 = 24 tens
(v) 4 tens moved add to 24 tens, i.e. 4 tens + 24 tens = 28 tens
7. Discover the product of 58×5.
Resolution:
58
× 5
25 ← 40
= 25 + 4 ← 0
= 29 0
= 290
(i) 8 ones × 5 = 40 = 4 tens + 0 one
(ii) 5 tens × 5 = 25 tens
(iii) 25 tens + 4 tens = 29 tens
Therefore, 58 × 5 = 290
8. Multiply 37 by 8
Resolution:
3 7
× 8
5 6
+ 2 4 0
2 9 6
(i) 7 ones × 8 = 56 ones = 5 tens 6 ones
56, 5 are positioned beneath them and 6 below ones.
(ii) 3 tens × 8 = 24 tens = 240 ones
= 2 hundred, 4 tens and 0 one
240 is positioned below 56 with 2 faces, 4 tens and 0 below ones.
Therefore, 37 × 8 = 296
Questions and Solutions for Multiplying a 2-Digital Quantity by a 1-Digital Quantity:
Multiplying 2-Digit Quantity by 1-Digit Quantity With out Regrouping:
I. Discover the product:
(i) 23 × 3 =
(ii) 44 × 2 =
(iii) 33 × 2 =
(iv) 22 × 4 =
(v) 32 × 3 =
(vi) 40 × 2 =
(vii) 43 × 2 =
(viii) 12 × 3 =
(ix) 23 × 2 =
(x) 11 × 9 =
(xi) 21 × 4 =
(xii) 13 × 3 =
Reply:
I. (me) 69
(ii) 88
(iii) 66
(iv) 44
(v) 96
(vi) 80
(vii) 86
(viii) 36
(ix) 46
(x) 99
(x) 84
(xii) 39
Multiplying a 2-Digit Quantity with a 1-Digit Quantity by Regrouping:
II. Discover the product:
(i) 46×2
(ii) 19×4
(iii) 27×3
(iv) 18×5
Reply:
II. (me) 92
(ii) 76
(iii) 81
(iv) 90
III. Multiply the next:
(i) 78×4
(ii) 63×6
(iii) 51×6
(iv) 39×8
(v) 72×9
(vi) 45×7
(vii) 17×4
(viii) 88×8
Reply:
III. (i) 312
(ii) 398
(iii) 306
(iv) 312
(v) 648
(vi) 315
(vii) 68
(viii) 704
IV. Remedy the next:
(i) 37×6
(ii) 72×4
(iii) 56×7
(iv) 84×2
(v) 45×9
Reply:
IV. (i) 37×6
(ii) 72×4
(iii) 56×7
(iv) 84×2
(v) 45×9
V. Multiply the next:
|
(I) T HE 3 1 × 2 _______ |
(ii) T HE 4 7 × 1 _______ |
|
(iii) T HE eleventh × 3 _______ |
(iv) T HE 2 2 × 2 _______ |
|
(v) T HE 2 3 × 2 _______ |
(vi) T HE 2 6 × 3 _______ |
|
(vii) T HE 49 × 2 _______ |
(viii) T HE 2 3 × 4 _______ |
|
(ix) T HE 1 6 × 6 _______ |
(X) T HE 1 9 × 5 _______ |
|
(xi) T HE 5 2 × 5 _______ |
(xii) T HE 2 3 × 6 _______ |
|
(xiii) T HE 6 4 × 9 _______ |
(xiv) T HE 3 2 × 7 _______ |
|
(xv) T HE 7 5 × 8 _______ |
VI. Multiply the next:
(me) 21 × 5 = _____
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2nd Grade Arithmetic Train
Multiplying a 2-Digit Quantity by a 1-Digit Quantity
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