Right here we’ll discover ways to multiply a 3-digit quantity with a 1-digit quantity.

We’ll study to multiply a three-digit quantity by a one-digit quantity in two differing types.

Multiplying a 3-Digit Quantity with a 1-Digit Quantity by Regrouping:

**1. Multiply 201 by 3**

1 × 3 = 3 grains
0 × 3 = 0 decimal
2 × 3 = 6 faces |
So 201 × 3 = 603 |

Multiplying a 3-Digit Quantity with a 1-Digit Quantity by Regrouping:

**1. Multiply 246 by 4**

6 × 4 = 24 = 2 tens + 4 ones Sort 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
2 × 4 = 8 faces Now, 8 + 1 (revolution) = 9 hundred |
So 246 × 4 = 984 |

**2. Multiply 453 by 6.**

6 × 3 = 18 = 1 tens + 8 ones Sort 8 within the ones column and transfer 1 within the tens column
6 × 5 = 30 tens Now, 30 + 1 (carry) = 31 tens = 3 hundred + 1 tens Sort 1 within the tens column and transfer 3 into the hundred column.
6 × 4 = 24 faces Now, 24 + 3 (revolutions) = 27 hundred = 2 thousand and seven hundred. Write 7 within the tens place and a couple of within the hundreds place. |
So 453 × 6 = 2718 |

**3. Multiply 221 by 2.**

2 2 1 |
Multiply the first-ones by 2. 2 × Write 2 below 1 = 2. HE. Then-multiply them by 2. 2 × 2 = 4, write 4 beneath T. Multiply the end-faces by 2. 2×2=4. write 4 beneath H. |

**4. Multiply 167 by 2.**

one 1 1 6 7 |
7 × 2 = 14 = 1 ten + 4 one. write 4 beneath HE. 1 ten stone. 6 × 2 = 12 + 1 = 13 13 = 1 hundred + 3 tens. write 3 beneath T. 1 face stone. 2 × 1 = 2 + 1 = 3 write 3 beneath H. |

Questions and Solutions on Multiplying a 3-Digital Quantity by a 1-Digit Quantity:

**Multiplying a 3-Digit Quantity by a 1-Digit Quantity b 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 next 3-digit numbers by 1-digit numbers:**

(I) 3 1 3 |
(ii) 8 6 6 |

(iii) 2 1 0 |
(iv) 0 0 3 |

(v) 1 1 7 |
(vi) 1 1 4 |

(vii) 2 1 5 |
(viii) 1 1 2 |

(ix) 1 2 3 |
(X) 3 0 3 |

(xi) 1 7 4 |
(xii) 2 8 5 |

(xii) 2 3 4 |
(xiv) 3 3 2 |

(xv) 4 5 2 |

**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 = _____

**third Grade Arithmetic Classes**

**Multiplying a 3-Digit Quantity by a 1-Digit Quantity**

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