Vinjit Vedic Arithmetic Book || 1 || Chapter 09.02 || Multiply by 5, 25, 50 and 125
Author
Om Jitender Singh Tomar
(M.A., B. Ed., MASSCOM, DNYS )
(Specialist in Basic and Vedic Maths)
Vinjit Vedic Arithmetic Book || 1 || Chapter 09.02 || Multiply by 5, 25, 50, 75 and 125.
And
50; 500; 5,000; 50,000; multiplying by 5,00,000
Multiply by 5
m × 5
2
= m × 5 × ——
2
m × 10
= —————
2
Multiply by 5, by multiplying by 10 and halving the result (or divide by 2)
(No. × 10) ÷ 2
26 × 5
= ( 26 × 10 ) ÷ 2
= 260 ÷ 2
= 130
Multiply by 25
m × 25
4
= m × 5 × ——
4
m × 100
= —————
4
Multiply by 25 by multiplying by 100 and half the result twice (or divide by 4)
(No. × 100) ÷ 4
68 × 25
= ( 68 × 100 ) ÷ 4
= 6800 ÷ 4 = 3400 ÷ 2
= 1700
Multiply by 50
m × 50
2
= m × 50 × ——
2
m × 100
= —————
2
Multiply by 50 by multiplying by 100 and half the result (or divide by 2)
(No. × 100) ÷ 2
43 × 50
= ( 43 × 100 ) ÷ 2
= 4300 ÷ 2
= 2150
Multiply by 125
m × 125
8
= m × 125 × ——
8
m × 1000
= ———————
8
Multiply by 50 by multiplying by 100 and half the result thrice (or divide by 8)
(No. × 100) ÷ 2
46 × 125
= ( 46 × 1000 ) ÷ 8
= 4600 ÷ 2 (4)
= 2300 ÷ 2 (2) ( I Time)
= 1150 ÷ 2 ( II Time)
= 575 ( III Time)
It’s easy to multiply by 10 or 100 in place of 5, 25 or 100.
01. Multiply the following by 5
Multiply 26 by 5 =
Multiply 82 by 5 =
Multiply 73 by 5 =
Multiply 64 by 5 =
Multiply 53 by 5 =
Multiply 42 by 5 =
Multiply 31 by 5 =
Multiply 20 by 5 =
Multiply 14 by 5 =
Multiply 40 by 5 =
Multiply 184 by 5 =
Multiply 284 by 5 =
Multiply 362 by 5 =
Multiply 464 by 5 =
Multiply 523 by 5 =
Multiply 643 by 5 =
Multiply 744 by 5 =
Multiply 882 by 5 =
Multiply 961 by 5 =
Multiply 1274 by 5 =
Multiply 2294 by 5 =
Multiply 3284 by 5 =
Multiply 4272 by 5 =
Multiply 5464 by 5 =
Multiply 6254 by 5 =
Multiply 7646 by 5 =
Multiply 8434 by 5 =
Multiply 9872 by 5 =
Sol. multiply 26 by 5 =
No. × 5 = (No. × 10) ÷ 2
26 × 5
= ( 26 × 10 ) ÷ 2
= 260 ÷ 2
= 130
Sol. multiply 184 by 5 =
No. × 5 = (No. × 10) ÷ 2
184 × 5 = (184 × 10) ÷ 2
= (1840) ÷ 2
= (18/40) ÷ 2
= 920
Sol. multiply 1274 by 5 =
No. × 5 = (No. × 10) ÷ 2
1274 × 5 = (1274 × 10) ÷ 2
= (12740) ÷ 2
= (12/74/0) ÷ 2
= 6/37/0
= 6370
02. Multiply the following by 25
Multiply 91 by 25 =
Multiply 82 by 25 =
Multiply 73 by 25 =
multiply 64 by 25 =
Multiply 53 by 25 =
Multiply 42 by 25 =
Multiply 31 by 25 =
Multiply 20 by 25 =
Multiply 14 by 25 =
Multiply 40 by 25 =
Multiply 184 by 25 =
Multiply 284 by 25 =
Multiply 372 by 25 =
Multiply 464 by 25 =
Multiply 553 by 25 =
Multiply 643 by 25 =
multiply 734 by 25 =
Multiply 872 by 25 =
Multiply 961 by 25 =
Multiply 1274 by 25 =
Multiply 2194 by 25 =
Multiply 3284 by 25 =
Multiply 4372 by 25 =
Multiply 5464 by 25 =
Multiply 6553 by 25 =
Multiply 7643 by 25 =
Multiply 8734 by 25 =
Multiply 9872 by 25 =
Sol. Multiply 26 by 25 =
No. × 25 = [(No. × 100) ÷ 2] ÷ 2
26 × 25
= [( 26 × 100 ) ÷ 2] ÷ 2
= [2600 ÷ 2] ÷ 2
= 1300 ÷ 2
= 650
or
No. × 25 = (No. × 100) ÷ 4
26 × 25
= (26× 100 ) ÷ 4
= 2600 ÷ 4
= 650
Sol. Multiply 184 by 25 =
184 × 25
= [( 184 × 100 ) ÷ 2] ÷ 2
= [18400 ÷ 2] ÷ 2
= 9200 ÷ 2
= 4600
or
No. × 25 = (No. × 100) ÷ 4
184 × 25 = ( 184 × 100 ) ÷ 4
= 18400 ÷ 4
= 4600
Sol. Multiply 1274 by 25 =
1274 × 25 = [(1274 × 100 ) ÷ 2] ÷ 2
= [12/74/00 ÷ 2] ÷ 2
= 6370 ÷ 2
= 3185
or
1274 × 25 = (1274 × 100 ) ÷ 4
= 127400 ÷ 4
= 3185
03. Multiply the following by 50
Multiply 91 by 50 =
Multiply 82 by 50 =
Multiply 73 by 50 =
Multiply 64 by 50 =
Multiply 53 by 50 =
Multiply 42 by 50 =
Multiply 31 by 50 =
Multiply 20 by 50 =
Multiply 14 by 50 =
Multiply 40 by 50 =
Multiply 184 by 50 =
Multiply 284 by 50 =
Multiply 372 by 50 =
Multiply 464 by 50 =
Multiply 553 by 50 =
Multiply 643 by 50 =
Multiply 734 by 50 =
Multiply 872 by 50 =
Multiply 961 by 50 =
Multiply 1274 by 50 =
Multiply 2194 by 50 =
Multiply 3284 by 50 =
Multiply 4372 by 50 =
Multiply 5464 by 50 =
Multiply 6553 by 50 =
Multiply 7643 by 50 =
Multiply 8734 by 50 =
Multiply 9872 by 50 =
Sol. Multiply 26 by 50 =
No. × 50 = (No. × 100) ÷ 2
26 × 50 = ( 26 × 100 ) ÷ 2
= 2600 ÷ 2
= 1300
Sol. Multiply 184 by 50 =
No. × 50 = (No. × 100) ÷ 2
184 × 50 = (184 × 100 ) ÷ 2
= 18/400 ÷ 2
= 9200
Sol. Multiply 1274 by 50 =
No. × 50 = (No. × 100) ÷ 2
1274 × 50 = (1274 × 100 ) ÷ 2
= 127400 ÷ 2
= 63700
03. Multiply the following by 125
Multiply 91 by 125 =
Multiply 82 by 125 =
Multiply 73 by 125 =
Multiply 64 by 125 =
Multiply 53 by 125 =
Multiply 42 by 125 =
Multiply 31 by 125 =
Multiply 20 by 125 =
Multiply 14 by 125 =
Multiply 40 by 125 =
Multiply 184 by 125 =
Multiply 284 by 125 =
Multiply 372 by 125 =
Multiply 464 by 125 =
Multiply 553 by 125 =
Multiply 643 by 125 =
Multiply 734 by 125 =
Multiply 872 by 125 =
Multiply 961 by 125 =
Multiply 1274 by 125 =
Multiply 2194 by 125 =
Multiply 3284 by 125 =
Multiply 4372 by 125 =
Multiply 5464 by 125 =
Multiply 6553 by 125 =
Multiply 7643 by 125 =
Multiply 8734 by 125 =
Multiply 9872 by 125 =
Sol. Multiply 26 by 125 =
No. ×125 = (No. × 1000) ÷ 8
26 × 125 = ( 26 × 1000 ) ÷ 2(4)
= 2600 ÷ 2(4)
= 1300 ÷2(2)
= 650 ÷2
= 325
Sol. Multiply 184 by 125 =
No. × 125 = (No. × 1000) ÷ 8
184 × 125 = (184 × 1000 ) ÷ 8
= 18/40/00 ÷ 8
= 9/20/00 ÷ 2(4)
= 92000 ÷ 2 (2)
= 46000 ÷ 2
= 23000
Sol. Multiply 1274 by 125 =
No. × 125 = (No. × 1000) ÷ 8
1274 × 125 = (1274 × 1000 ) ÷ 8
= 12/74/00 ÷ 2(4)
= 6/37/00 ÷ 2(2)
= 6/370/0 ÷ 2
= 318/50 ÷ 2
= 15925
Multiplying by 50; 500; 5,000; 50,000; 5,00,000.
For this we have to pay attention to the expanded form of these numbers.
which respectively
50; = 5 × 10
500; = 5 × 100
5,000; = 5 × 1000
50,000; = 5 × 10000
5,00,000 = 5 × 100000
Therefore, the first number is multiplied by applying the rule of multiplication by 5. After that, as many zeros as there are in the multiplier, write in the answer.
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