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4-Digits by 1-Digit Multiplication
Here we will learn 4-digits by 1-digit multiplication. We know how to multiply three digit number by one digit number. In the same way we can multiply 4-digit numbers by 1-digit numbers without regrouping and with regrouping.
Multiplication of 4-digits Number by 1-digit Number Without Regrouping:
1. Multiply 3021 by 3.
Solution:
Step I: Arrange the numbers vertically.
Step II: Multiply the digit at the ones place by 3.
1 × 3 = 3 ones
Step III: Now multiply the digit at the tens place by 3.
2 × 3 = 6 tens
Step IV: Now multiply the digit at the hundreds place by 3.
0 × 3 = 0 hundreds
Step V: Then multiply the digit at the thousands place by 3.
3 × 3 = 9 thousands
Thus, 3021 × 3 = 9063
Multiplication of 4-digits Number by 1-digit Number With Regrouping:
1. Multiply 3768 by 2.
Solution:
Step I: Multiply the multiplier 2 with the ones place of 1 the multiplicand.
8 ones × 2 = 16 ones
Write 6 in the ones place and carry over 1 to tens place.
Step II: Multiply 2 with the tens place of the multiplicand.
6 tens × 2 = 12 tens
12 tens + 1 ten (carry over) = 13 tens
Write 3 in the tens place and carry over 1 to hundreds place.
Step III: Multiply 2 with the hundreds place of the multiplicand.
7 hundreds × 2 = 14 hundreds
14 hundreds + 1 hundreds (carry over) = 15 hundreds
Write 5 in the hundreds place and carry over 1 to thousands place.
Step IV: Multiply 2 with the thousands place of the multiplicand.
3 thousands × 2 = 6 thousands
6 thousands + 1 thousand (carry over) = 7 thousands
Write 7 in the thousands place.
Thus, 3768 × 2 = 7536
Word Problems on 4-Digits by 1-Digit Multiplication:
1. A book contains 1208 pages. How many pages are there in 3 such books?
Solution:
Number of pages in 1 book = 1208
Number of pages in 3 books = 1208 × 3
= 3624
Thus, there are 3624 pages in 3 books.
Worksheet on 4-Digits by 1-Digit Multiplication:
1. Multiply the following 4-Digits Number by 1-Digit Number Without Regrouping:
|
(i) |
Th H T O 3 3 1 2 × 3 _____________ |
(ii) |
Th H T O 1 2 2 2 × 4 _____________ |
Answer:
1. (i) 9936
(ii) 4888
2. Multiply the following 4-Digits Number by 1-Digit Number With Regrouping:
|
(i) |
Th H T O ◯ ◯ ◯ 1 2 3 9 × 6 _____________ |
(ii) |
Th H T O ◯ ◯ ◯ 1 0 1 5 × 5 _____________ |
Answer:
1. (i) 7434
(ii) 5057
3. Multiply the following and write the answer in the blanks:
(i) 2231 × 3 = __________
(ii) 1101 × 5 = __________
(iii) 2314 × 2 = __________
(iv) 1972 × 3 = __________
(v) 1041 × 4 = __________
(vi) 2435 × 4 = __________
(vii) 1460 × 6 = __________
(viii) 3114 × 2 = __________
Answer:
3. (i) 6693
(ii) 5505
(iii) 4628
(iv) 5916
(v) 4164
(vi) 9740
(vii) 8760
(viii) 6228
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