Math Problem Statement

6 + (-4) = ?, (-1) + (-9) = ?, (-7) - (-8) = ?, (-2/3) - (3/4) = ?, 6,4,.1(-6,2) = ?, (-28) ÷ (-4) = ?

Solution

I can help you solve the math problems shown in your image. Let's go through them one by one:

  1. 6+(4)=6 + (-4) =

    • Adding a negative number is the same as subtraction:
      64=26 - 4 = 2
  2. (1)+(9)=(-1) + (-9) =

    • Adding two negative numbers:
      1+(9)=10-1 + (-9) = -10
  3. (7)(8)=(-7) - (-8) =

    • Subtracting a negative is the same as adding:
      7+8=1-7 + 8 = 1
  4. 2334=\frac{-2}{3} - \frac{3}{4} =

    • First, find a common denominator (12):
      23=812,34=912\frac{-2}{3} = \frac{-8}{12}, \quad \frac{3}{4} = \frac{9}{12}
      Now subtract:
      812912=1712\frac{-8}{12} - \frac{9}{12} = \frac{-17}{12} So, 2334=1712\frac{-2}{3} - \frac{3}{4} = \frac{-17}{12}.
  5. 6,4,.1(6,2)=6, 4, .1 (-6, 2) =

    • The operation is unclear due to the formatting. Could you clarify what is meant here? It seems to be missing or miswritten.
  6. (28)÷(4)=(-28) \div (-4) =

    • Dividing two negative numbers gives a positive result:
      28÷4=7-28 \div -4 = 7

Would you like more details on any of these? Here are 5 related questions you could explore:

  1. How do you add and subtract negative numbers?
  2. What is the rule for dividing negative numbers?
  3. How can you simplify fractions with different denominators?
  4. Why does subtracting a negative become addition?
  5. Can you further simplify improper fractions like 1712\frac{-17}{12}?

Tip: When subtracting fractions, always find a common denominator first to make the operation easier!

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Math Problem Analysis

Mathematical Concepts

Addition and Subtraction of Negative Numbers
Fractions
Division of Negative Numbers

Formulas

a + (-b) = a - b
a - (-b) = a + b
(a/b) - (c/d) = (ad - bc)/bd
a ÷ (-b) = -(a ÷ b)

Theorems

Rule of signs for addition and subtraction of negative numbers
Simplification of fractions

Suitable Grade Level

Grades 6-8