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Question

Difficulty: MediumDecimal Operations

Arrange the following mathematical expressions in ascending order, from the least value to the greatest value.

  1. 11.2×0.61.2 \times 0.6
  2. 20.35+0.380.35 + 0.38
  3. 34.2−3.454.2 - 3.45
  4. 40.48÷0.60.48 \div 0.6

Answer

The correct order from least to greatest is: 1.2×0.61.2 \times 0.6, then 0.35+0.380.35 + 0.38, then 4.2−3.454.2 - 3.45, and finally 0.48÷0.60.48 \div 0.6.
Each arithmetic expression must be evaluated independently applying the correct decimal rules for that specific operation. The results are 0.720.72, 0.730.73, 0.750.75, and 0.800.80. Sorting these decimal values chronologically by magnitude yields the correct ascending sequence.

Step-by-Step Solution

1
Evaluate the multiplication expression: 1.2×0.61.2 \times 0.6
0.720.72
Multiply the whole numbers (12×6=7212 \times 6 = 72) and count a total of two decimal places from the factors.
2
Evaluate the addition expression: 0.35+0.380.35 + 0.38
0.730.73
Align the decimal points vertically and add the hundredths, then the tenths.
3
Evaluate the subtraction expression: 4.2−3.454.2 - 3.45
0.750.75
Rewrite 4.24.2 as 4.204.20 to align the decimal points properly, then subtract.
4
Evaluate the division expression: 0.48÷0.60.48 \div 0.6
0.800.80
Multiply both numbers by 1010 to make the divisor a whole number (4.8÷64.8 \div 6), then divide.
5
Order the evaluated results from least to greatest.
0.72<0.73<0.75<0.800.72 < 0.73 < 0.75 < 0.80
Comparing the values digit by digit from the tenths place to the hundredths place establishes the correct magnitude sequence.

Key Concept

Evaluating all four basic operations with decimals and comparing their relative magnitudes.
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Topics

Decimal Operations

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