Questions and Answers
1689 x ______ = 0
0
______ x 100 = 972900
9729
1230 x 1999 = 1230 x ______ - 1230
1000
4610 x ______ = 4610 x 1000 + 4610 x 1
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What is the cost of 412 computers if the cost of one computer is ₹19,565?
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If 2550 oranges are packed in one carton and the fruit company sent 275 cartons, how many oranges are packed in total?
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What is the product of the largest 4-digit number and the largest 3-digit number?
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If a factory produces 13,478 metres of thread in a day, how much thread is produced in 365 days?
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A 4-digit number begins with 12. The next two digits form a number which is 4 times the first two digits. If this number is multiplied by 650, what is the product?
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Study Notes
Fill in the Blanks
- Commutative property: Multiplying numbers in any order yields the same product (e.g., 1689 x 13 = 13 x 1689).
- Associative property: Grouping in multiplication can be rearranged (e.g., 238 x (430 x 200) = (238 x 430) x 200).
- Any number multiplied by zero results in zero (e.g., 4257 x 0 = 0).
- Multiplying by 100 shifts the number two decimal places to the right (e.g., 9729 x 100 = 972900).
- Using distributive property: Breaking down complex multiplications into simpler parts (e.g., 1230 x 1999 = 1230 x 1000 - 1230).
- Distributive property applied to enhance ease of calculation (e.g., 4610 x 101 = 4610 x 1000 + 4610 x 1).
- For calculating with 101, breakdown involves adding the multiplied portions (e.g., 6334 x 101 = 633400 + 6334).
- For 99, multiply by 100 and then subtract the original number (e.g., 4020 x 99 = 402000 - 4020).
Multiply
- Multiply larger numbers directly without breaks (e.g., calculate 2635 x 435).
- Engage with multiple significant figures in multiplications (e.g., 2588 x 963).
- Decompose larger multiplication problems for clarity (e.g., 7346 x 2010).
- Utilize algorithmic approaches for determining products (e.g., 2411 x 1345).
Solve the Following Word Problems
- Total cost calculation: Multiply unit cost of a computer (₹19,565) by quantity (412).
- Determine total packing: Multiply the number of oranges per carton (2550) by the number of cartons (275).
- Largest valued products: Calculate the product of the largest 4-digit number (9999) and the largest 3-digit number (999).
- Daily production scaling: Multiply daily thread production (13,478 meters) by the total number of days in a year (365).
- Construct numerical puzzles: Derive a 4-digit number beginning with 12, calculate its relation to the next digits being four times the first two, then find the resultant product when multiplied by 650.
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Description
Test your understanding of multiplication and basic arithmetic concepts in this quiz based on the Chapter Innings. Fill in the blanks, multiply given numbers, and solve practical word problems. Perfect for reinforcing your math skills!
