Math Problem Statement

Simplify the following expressions: 1. 2 × (4.5 + 3.5) 2. 3.7 - 3.6 ÷ 1.2 3. 10.5 - (1.5 × 0.6)

Solution

The image contains three mathematical expressions to simplify:

  1. 2×(4.5+3.5)2 \times (4.5 + 3.5)
  2. 3.73.6÷1.23.7 - 3.6 \div 1.2
  3. 10.5(1.5×0.6)10.5 - (1.5 \times 0.6)

Let's simplify each expression step by step.

1. 2×(4.5+3.5)2 \times (4.5 + 3.5)

First, add 4.54.5 and 3.53.5: 4.5+3.5=84.5 + 3.5 = 8 Now, multiply by 22: 2×8=162 \times 8 = 16 Answer: 16

2. 3.73.6÷1.23.7 - 3.6 \div 1.2

First, divide 3.63.6 by 1.21.2: 3.6÷1.2=33.6 \div 1.2 = 3 Now, subtract from 3.73.7: 3.73=0.73.7 - 3 = 0.7 Answer: 0.7

3. 10.5(1.5×0.6)10.5 - (1.5 \times 0.6)

First, multiply 1.51.5 by 0.60.6: 1.5×0.6=0.91.5 \times 0.6 = 0.9 Now, subtract from 10.510.5: 10.50.9=9.610.5 - 0.9 = 9.6 Answer: 9.6

Would you like more details or have any questions?

Related Questions:

  1. How do you solve expressions with parentheses and multiple operations?
  2. What is the order of operations in arithmetic expressions?
  3. How does division affect subtraction when placed in the same equation?
  4. Can you practice simplifying expressions with more complex numbers?
  5. How would you simplify if the numbers had decimals up to three places?

Tip: Always follow the order of operations (PEMDAS/BODMAS) when simplifying complex expressions.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations (PEMDAS/BODMAS)
Basic Multiplication
Division
Subtraction

Formulas

Addition: a + b
Multiplication: a × b
Division: a ÷ b
Subtraction: a - b

Theorems

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Suitable Grade Level

Grade 6