Mathematics
Grade 6
15 min
Multiply numbers ending in zeroes: word problems
Multiply numbers ending in zeroes: word problems
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1
Introduction & Learning Objectives
Learning Objectives
Identify key information and the operation needed in word problems involving multiplication.
Apply the shortcut method for multiplying numbers ending in zeroes.
Solve single and multi-step word problems that require multiplying numbers ending in zeroes.
Estimate products of numbers ending in zeroes to check for reasonableness.
Interpret the product in the context of a word problem and state the answer with appropriate units.
Formulate multiplication expressions from word problems involving numbers ending in zeroes.
Ever wondered how many cookies a bakery makes in a month if they bake 200 every day? 🍪 Let's find out how to solve big problems easily!
In this lesson, you'll learn a super-fast trick to multiply numbers that end in zeroes, especial...
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Key Concepts & Vocabulary
TermDefinitionExample
Word ProblemA mathematical problem presented in a story or real-life scenario format, requiring you to identify the numbers and operations needed to find a solution.If a box has 12 pencils, how many pencils are in 5 boxes?
MultiplicationA mathematical operation that represents repeated addition of the same number. It is used to find the total when you have a certain number of equal groups.3 x 4 = 12 (which is 3 + 3 + 3 + 3)
FactorA number that is multiplied by another number to get a product.In 5 x 7 = 35, both 5 and 7 are factors.
ProductThe result obtained when two or more numbers are multiplied together.In 5 x 7 = 35, 35 is the product.
Trailing ZeroesZeroes that appear at the end of a whole number. These are important when using multiplication shortcuts.In the nu...
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Core Formulas
Shortcut for Multiplying Numbers Ending in Zeroes
To multiply numbers ending in zeroes:
1. Multiply the non-zero digits of the factors.
2. Count the total number of trailing zeroes in both original factors.
3. Attach that total number of zeroes to the product of the non-zero digits.
This rule provides an efficient way to multiply large numbers with trailing zeroes, simplifying calculations and reducing the chance of error. For example, to calculate $40 \times 200$: multiply $4 \times 2 = 8$. Count total zeroes (one from 40, two from 200 = three zeroes). Attach three zeroes to 8, so the answer is 8,000.
Steps for Solving Word Problems
1. Read the problem carefully to understand what is being asked.
2. Identify the given numbers and keywords (e.g., 'each', 'total&...
5 more steps in this tutorial
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Challenging
Company A produces 3,000 widgets per day. Company B produces 200 widgets per hour. Assuming an 8-hour workday for Company B, what is the difference in the number of widgets produced by the two companies in a 20-day period?
A.28,000 widgets
B.60,000 widgets
C.28,000 widgets
D.32,000 widgets
Challenging
A printing press produces sheets of 100 stamps. The final product is a large box containing 200 of these sheets. The total number of stamps in one box is 20,000. If a client orders a total of 600,000 stamps, which calculation determines how many boxes they will receive?
A.600,000 - 20,000
B.600,000 / 20,000
C.600,000 x 20,000
D.200 x 100 x 600,000
Challenging
A machine fills bags with sand, working at a rate of 40 bags per minute. The machine operates for 50 minutes every hour. How many bags of sand does it fill in a 10-hour day?
A.20,000 bags
B.2,000 bags
C.200,000 bags
D.20,000 bags
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