Multiplying whole numbers ending with zeros means finding the product of numbers that have one or more zeros at the end, such as 30 × 400. You can simplify the problem by ignoring the zeros first, then adding them back to your answer at the end.
When both numbers end with zeros, multiply the nonzero digits first, then add all the zeros from both numbers to your final answer.
Zeros at the end of a number show that the number is being multiplied by 10, 100, or 1,000, and so on. When you multiply numbers with zeros, you are really multiplying by powers of ten, which shift the digits to the left.
Each zero represents a place value. Multiplying by 10 moves every digit one place to the left. Multiplying by 100 moves every digit two places, and so on.
Word problems that include numbers ending with zeros require understanding what the problem is asking and using place value reasoning to find the correct product.
Always check that your answer makes sense. Estimate first by rounding to the nearest basic numbers before multiplying. This helps confirm that your product is reasonable.
After solving a multiplication problem with zeros, you can check your answer by dividing the product by one of the factors. The quotient should equal the other factor if your work is correct.
Double-check zeros carefully when writing your answer. One missing or extra zero can change the value by a large amount.