Math Problem Statement

What word or number makes each statement true? (From Student Practice Book, Page 47)

Solution

Here are the answers to the questions based on the image provided:

  1. Products of 2 are always even.

    • Explanation: Multiplying 2 by any integer results in an even number.
  2. By using number patterns, you can tell that 50 is the product of 5 and 10 because it has a 0 in the ones place.

    • Explanation: Numbers that end in 0 can be divided evenly by 10, and 50 can be expressed as 5×105 \times 10.
  3. By using number patterns, you can tell that 45 is a product of 5 because it has a 5 in the ones place.

    • Explanation: Numbers ending in 5 are multiples of 5.
  4. By using number patterns, you can tell that 0 is the product of 0 and any number because any number multiplied by 0 is 0.

    • Explanation: The property of zero in multiplication states that any number multiplied by zero equals zero.

Would you like more details or have any questions on these answers?

Related Questions:

  1. What are some other properties of even numbers?
  2. Why do numbers ending in 0 always indicate a product involving 10?
  3. How can you identify multiples of 5 using their last digit?
  4. What is the zero property of multiplication, and how is it applied in different problems?
  5. Can a number ending in 5 be a multiple of both 5 and 10? Why or why not?

Tip:

When identifying patterns, pay attention to the last digit of a number—it can help determine divisibility by numbers like 2, 5, or 10.

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Math Problem Analysis

Mathematical Concepts

Multiplication Patterns
Number Properties
Divisibility Rules

Formulas

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Theorems

Zero Property of Multiplication
Even and Odd Multiplication Rules

Suitable Grade Level

Grades 3-5