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Question

Difficulty: EasyDecimal Operations

Calculate the value of each decimal expression below. Arrange the results in ascending order (from smallest to largest).

  1. 11.5×21.5 \times 2
  2. 21.2+2.41.2 + 2.4
  3. 38.4÷28.4 \div 2
  4. 45.8−1.35.8 - 1.3

Answer

The correct order from smallest to largest is: 1.5×21.5 \times 2, followed by 1.2+2.41.2 + 2.4, then 8.4÷28.4 \div 2, and finally 5.8−1.35.8 - 1.3.
Evaluating each mathematical expression individually yields 4.5, 3.6, 4.2, and 3.0 respectively. Arranging these numerical results in ascending order gives 3.0, 3.6, 4.2, and 4.5. This directly maps to the expressions: 1.5×21.5 \times 2, then 1.2+2.41.2 + 2.4, then 8.4÷28.4 \div 2, and finally 5.8−1.35.8 - 1.3.

Step-by-Step Solution

1
Calculate the value of the first expression.
5.8−1.3=4.55.8 - 1.3 = 4.5
To determine the numerical value for comparison.
2
Calculate the value of the second expression.
1.2+2.4=3.61.2 + 2.4 = 3.6
To determine the numerical value for comparison.
3
Calculate the value of the third expression.
8.4÷2=4.28.4 \div 2 = 4.2
To determine the numerical value for comparison.
4
Calculate the value of the fourth expression.
1.5×2=3.01.5 \times 2 = 3.0
To determine the numerical value for comparison.
5
Compare the four calculated values and order them from smallest to largest.
3.0<3.6<4.2<4.53.0 < 3.6 < 4.2 < 4.5
To establish the final ascending sequence required by the question.

Key Concept

Performing basic operations (addition, subtraction, multiplication, division) with decimals and comparing their magnitudes.
Estimated Time:45s
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Topics

Decimal Operations

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