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.**

2 4 |
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:**

2 × 4 = 8 grains
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**

one 6 6 |
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**

3 × 5 = 15 = 1 ten + 5 one Kind 5 within the ones column and transfer 1 within the tens column
3 × 2 = 6 tens Now, 6 + 1 (carry) = 7 tens |
So 25 × 3 = 75 |

**3. Multiply 46 by 4**

6 × 4 = 24 = 2 tens + 4 ones Kind 4 within the ones column and transfer 2 within the tens column
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) 3 1 _______ |
(ii) 4 7 _______ |

(iii) eleventh _______ |
(iv) 2 2 _______ |

(v) 2 3 _______ |
(vi) 2 6 _______ |

(vii) 49 _______ |
(viii) 2 3 _______ |

(ix) 1 6 _______ |
(X) 1 9 _______ |

(xi) 5 2 _______ |
(xii) 2 3 _______ |

(xiii) 6 4 _______ |
(xiv) 3 2 _______ |

(xv) 7 5 _______ |

**VI. Multiply the next:**

(me) 21 × 5 = _____

**2nd Grade Arithmetic Train**

**Multiplying a 2-Digit Quantity by a 1-Digit Quantity**

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