Q1: Find the following products :
Sol:
1. 38 x 9 = 342
2. 80 x 5 = 400
3. 53 x 8 = 424
Q2: Multiply:
1. 4,032 by 198
2. 3,647 by 245
3. 501 by 123
Sol:
1.
= 4,032 x 198 = 798336
2.
= 3,647 x 245 = 893515
3.
= 501 x 123 = 61623
Q3: Fill in the blanks:
(a) 2,586 x ______ = 2,586
(b) 624 x ______ = 38 x 624
(c) 600 x ______ = 0.
Sol:
(a) 2,586 x 1 = 2,586
(Identity Property: The product of any number with 1 is as same as the number itself.)
(b) 624 x 38 = 38 x 624
(Commutative property of multiplication is a math rule that says you can multiply numbers in any order, and the result will be the same.)
(c) 600 x 0 = 0
(Zero property of multiplication is a fundamental rule in mathematics that states that any number multiplied by zero is equal to zero.)
Q4: A farmer produced 735 quintals of rice. He sold it at the rate of Rs 1525 per quintal. How much money did he get?
Sol: A farmer produced rice = 735 quintals
Cost per quintal = Rs 1525
Money he got = 1525 x 735 = Rs 1,120,875
Q5: The cost of a pack of Ghee is Rs 308 Find the cost of 97 such packs.
Sol: The cost of 1 pack of Ghee = Rs 308
Total number of packs = 97
Therefore, Total Cost of 97 packs of Ghee = 308 x 97 = 29,876
Q6: Round off the following numbers to the nearest tens:
(a) 13,528
(b) 3,542
(c) 174
Sol: Here's the general rule for rounding:
 Number >= 5: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40.
 Number < 5: If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.
Therefore, applying these rules, we get:
(a) 13,528 = 13,530
(b) 3,542 = 3,540
(c) 174 = 170
Q8: Estimate each of the following products by rounding off each number to the nearest tens:
(a) 52 x 43
(b) 63 x 52
Sol: Here's the general rule for rounding:
 Number >= 5: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40.
 Number < 5: If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.
Therefore, applying these rules, we get:
(a) 52 x 43 = 50 x 40 = 2000
(b) 63 x 52 = 60 x 50 = 3000
Q9: Find the product of the placevalues of 6 in 6,965 ______.
Sol: The place value of 1st 6 in 6,965 is at thousand's place.
=> First place value of 6 = 6000
The place value of 2nd 6 in 6,965 is at ten's place.
=> Second place value of 6 = 6000
Product of the place values of 6 in the number 6,965 = 6000 x 60 = 360000
Q11: Find the product of the greatest 2digit number and the smallest 4digit number ______.
Sol: Greatest 2digit no. = 99
Smallest 4digit no. = 1000
Therfore, the product of the greatest 2digit number and the smallest 4digit number = 1000 x 99 = 99000.
Q12: Round off the following numbers to the nearest thousands:
(a) 4,550
(b) 87,083
(c) 9,155
Sol: To round to the nearest thousand, we look at the last three digits.
Therefore, applying these rules, we get:
(a) 4,550 = 5000
(b) 87,083 = 90000
(c) 9,155 = 9000
Q13: Find the following products mentally:
(a) 995 x 995 ______.
(b) 705 x 705 ______.
(c) 499 x 491 ______.
Sol: (a) 995 x 995 = 990,995.
(b) 705 x 705 = 497,025.
(c) 499 x 491 = 245,009
Q14: A transistor costs Rs 1,642. Find the cost of 95 such transistors.
Sol: Cost of one Transistor = Rs 1,642
Total number of transistors = 95
Cost of 95 Transistors = 1642 x 95 = 155,990
Q15: A candle factory produced 814 candles in a day. How many candles will this factory produce in a year?
Sol: A candle factory produces candles in a day = 814
Total number of days in a leap year = 365
Candles this factory will produce in one year = 814 x 365 = 2,97,110
30 videos62 docs10 tests

1. How can multiplication help in solving reallife problems? 
2. What are some strategies to memorize multiplication tables effectively? 
3. How can multiplication be used in division problems? 
4. Can multiplication be used for scaling or resizing objects? 
5. How does multiplication relate to addition and subtraction? 

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