Math Problem Statement

Multiplication problems involving factors like 13 and 28 and associative property of multiplication.

Solution

Looking at the image you uploaded, I see two sections related to multiplication problems. Let's walk through each part to clarify the solutions.

Section 4: Solve the following problems

This section involves multiplying numbers by 13 and 28. Here's a breakdown of the problems:

  1. 2×13=262 \times 13 = 26
  2. 4×13=524 \times 13 = 52
  3. 8×13=1048 \times 13 = 104
  4. 10×28=28010 \times 28 = 280
  5. 5×28=1405 \times 28 = 140
  6. 15×28=42015 \times 28 = 420

These values match the answers written in the boxes.


Section 5: Find the products

Here, you're asked to solve expressions with multiple numbers. Let's calculate each:

  • Part a: (2×5)×8(2 \times 5) \times 8

    • First, 2×5=102 \times 5 = 10, then 10×8=8010 \times 8 = 80, which was solved as 80.
  • Part b: (2×8)×5(2 \times 8) \times 5

    • First, 2×8=162 \times 8 = 16, then 16×5=8016 \times 5 = 80, and the answer was correctly written as 80.
  • Part c: (5×8)×2=80(5 \times 8) \times 2 = 80

All answers are solved correctly.

Would you like me to elaborate on any part or help with further details?


Related Questions:

  1. How can you simplify the process of multiplying large numbers mentally?
  2. What is the associative property of multiplication, and how does it apply here?
  3. How do multiplication patterns help in solving problems like these faster?
  4. Can you explore another way to solve the cube problem using the volume formula?
  5. How can doubling numbers, as seen in some problems, make multiplication easier?

Tip:

When multiplying by 13 or other tricky numbers, break them into smaller, easier parts (like 13=10+313 = 10 + 3), then distribute and add results.

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Math Problem Analysis

Mathematical Concepts

Multiplication
Order of Operations (PEMDAS)
Associative Property of Multiplication

Formulas

Basic multiplication a × b = c
Associative property of multiplication (a × b) × c = a × (b × c)

Theorems

Associative Property of Multiplication

Suitable Grade Level

Grades 5-7