Mathematics
Grade 4
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 the key numbers (factors) in a word problem that need to be multiplied.
Apply the 'zero trick' to mentally multiply multiples of 10, 100, and 1,000.
Construct a correct multiplication equation from a given word problem.
Solve multi-step word problems involving multiplication of numbers ending in zeroes.
By the aend of this lesson, students will be able to check the reasonableness of their answer using estimation.
Write a final answer in a complete sentence that correctly labels the units.
Have you ever wondered how many snacks a factory makes in a day? If they make 300 snacks every hour for 10 hours, we can find out with a cool math trick! 🥨
In this tutorial, you will learn a shortcut for multiplying large numbers that end in zeroes....
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Key Concepts & Vocabulary
TermDefinitionExample
FactorA number that is multiplied with another number to get a product.In the problem 50 x 20 = 1,000, the numbers 50 and 20 are the factors.
ProductThe answer you get when you multiply two or more numbers together.In the problem 50 x 20 = 1,000, the number 1,000 is the product.
Multiple of 10Any number that ends with a zero and can be divided by 10 with no remainder.Numbers like 10, 40, 150, and 2,000 are all multiples of 10.
Basic FactA simple multiplication problem, usually with single-digit factors, that you can solve from memory.In the problem 60 x 300, the basic fact is 6 x 3 = 18.
Word ProblemA math question presented as a short story or a real-life scenario.'If a farmer plants 20 rows of corn with 100 seeds in each row, how many seeds did he plant in tot...
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Core Formulas
The Zero Trick for Multiplication
(Factor 1 without zeroes) \times (Factor 2 without zeroes), then add total zeroes.
To multiply numbers ending in zeroes, first, ignore the zeroes and multiply the non-zero digits (the basic fact). Second, count the total number of zeroes in your original factors. Finally, attach that many zeroes to the end of your product.
Word Problem Equation Setup
(Number of Groups) \times (Number in Each Group) = Total
Read the word problem to find the two factors. One factor is often the 'number of groups' (like boxes, rows, or people), and the other is the 'number in each group' (like items per box, seats per row).
4 more steps in this tutorial
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Challenging
A toy company makes 300 red cars and 200 blue cars every hour. If the factory operates for 40 hours, what is the total number of cars (both red and blue) it will make?
A.20,000
B.12,000
C.8,000
D.540
Challenging
A publisher printed a total of 24,000 pages for a new book series. Which of the following scenarios is a possible combination for the number of books printed and the number of pages per book?
A.60 books with 40 pages each
B.800 books with 300 pages each
C.600 books with 40 pages each
D.50 books with 500 pages each
Challenging
A company has 20 delivery trucks. Each truck makes 30 trips a month. On each trip, a truck delivers 10 boxes. How many boxes are delivered in a month by all the trucks combined?
A.600
B.6,000
C.60
D.60,000
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