Math Problem Statement

Grade 7 Project - Basic Numeracy Facts, including Fractions, Integers, and Decimals.

Solution

Let's go through the questions in the image one by one and solve them.

Part A: Fractions

  1. What is 38\frac{3}{8} added to 28\frac{2}{8}? 38+28=3+28=58\frac{3}{8} + \frac{2}{8} = \frac{3+2}{8} = \frac{5}{8} Answer: 58\frac{5}{8}

  2. What is the difference between 512\frac{5}{12} and 312\frac{3}{12}? 512312=5312=212=16\frac{5}{12} - \frac{3}{12} = \frac{5-3}{12} = \frac{2}{12} = \frac{1}{6} Answer: 16\frac{1}{6}

  3. What will you get if you add 14\frac{1}{4} to 24\frac{2}{4}? 14+24=1+24=34\frac{1}{4} + \frac{2}{4} = \frac{1+2}{4} = \frac{3}{4} Answer: 34\frac{3}{4}

Part B: Integers

  1. What is the result when +4+4 and 3-3 are added? +4+(3)=43=1+4 + (-3) = 4 - 3 = 1 Answer: 1

  2. Give a number greater than -12. Answer: There are many possible answers, for example, 0.

  3. Multiply 3 and 6-6. 3×(6)=183 \times (-6) = -18 Answer: 18-18

  4. What is the quotient when 20-20 is divided by 4-4? 204=5\frac{-20}{-4} = 5 Answer: 5

Part C: Decimals

(This section is not fully visible, so I will proceed with the visible parts only.)

Would you like further explanations or details on any of these questions?

Here are 5 related questions for practice:

  1. What is 56\frac{5}{6} minus 16\frac{1}{6}?
  2. Multiply 34\frac{3}{4} by 23\frac{2}{3}.
  3. What is the result of adding +6+6 and 9-9?
  4. Give a number less than 5-5.
  5. Divide 1515 by 33.

Tip: Always simplify fractions to their lowest terms if possible.

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Math Problem Analysis

Mathematical Concepts

Fractions
Integers
Basic Arithmetic
Decimals

Formulas

Addition of fractions: a/b + c/b = (a+c)/b
Subtraction of fractions: a/b - c/b = (a-c)/b
Addition of integers: a + (-b) = a - b
Multiplication: a * (-b) = -ab
Division of negative numbers: -a / -b = a / b

Theorems

Basic Arithmetic Operations
Simplification of Fractions

Suitable Grade Level

Grade 7