Math Problem Statement

Complete the following diamond pattern.

Solution

The diamond pattern you've provided represents a problem where the two numbers on the left and right sides multiply to give the top number and add to give the bottom number.

Given:

  • The product at the top is 70-70.
  • The sum at the bottom is 3-3.

We need to find two numbers that multiply to 70-70 and add to 3-3.

The two numbers that satisfy these conditions are 10-10 and 77.

  • 10×7=70-10 \times 7 = -70
  • 10+7=3-10 + 7 = -3

So, the completed diamond pattern is:

  • Left side: 10-10
  • Right side: 77

Would you like more details or have any other questions?

Here are 5 related questions that might interest you:

  1. How can you solve diamond patterns with positive sums and negative products?
  2. What are other possible pairs of numbers that multiply to 70-70 but don't add to 3-3?
  3. How do you create your own diamond problems?
  4. What happens if the sum in the diamond pattern is zero?
  5. How does solving diamond patterns relate to factoring quadratic equations?

Tip: When solving diamond patterns, start by considering factor pairs of the product and check which pair adds to the sum given at the bottom.

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Math Problem Analysis

Mathematical Concepts

Factorization
Equations

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9