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Question

Difficulty: EasyDecimal Operations

Determine the final value of each arithmetic expression below. What is the correct sequence when the expressions are arranged from smallest to largest result?

  1. 10.18+0.420.18 + 0.42
  2. 23.5÷53.5 \div 5
  3. 32.1−1.32.1 - 1.3
  4. 40.15×60.15 \times 6

Answer

The correct sequence from smallest to largest is: 0.18+0.420.18 + 0.42, 3.5÷53.5 \div 5, 2.1−1.32.1 - 1.3, and 0.15×60.15 \times 6.
To arrange the sequence properly, first calculate their values: 0.18+0.42=0.60.18 + 0.42 = 0.6, 3.5÷5=0.73.5 \div 5 = 0.7, 2.1−1.3=0.82.1 - 1.3 = 0.8, and 0.15×6=0.90.15 \times 6 = 0.9. By comparing these results side by side, the accurate ascending order is 0.60.6, 0.70.7, 0.80.8, and 0.90.9.

Step-by-Step Solution

1
Calculate the sum for the fourth expression.
0.18+0.42=0.600.18 + 0.42 = 0.60, which is 0.60.6.
Adding the hundredths and tenths places properly yields 0.60.6.
2
Calculate the quotient for the third expression.
3.5÷5=0.73.5 \div 5 = 0.7.
Since 35÷5=735 \div 5 = 7, dividing 3.53.5 by 55 gives 0.70.7.
3
Calculate the difference for the first expression.
2.1−1.3=0.82.1 - 1.3 = 0.8.
Borrowing from the ones place allows subtracting 1.31.3 from 2.12.1 to get 0.80.8.
4
Calculate the product for the second expression.
0.15×6=0.900.15 \times 6 = 0.90, which is 0.90.9.
Multiplying 1515 by 66 gives 9090. Since the original factors have a total of two decimal places, the result is 0.900.90.
5
Order the evaluated results from smallest to largest.
0.6<0.7<0.8<0.90.6 < 0.7 < 0.8 < 0.9.
Comparing the tenths digit of each calculated value provides the final arrangement.

Key Concept

Performing basic arithmetic operations with decimals and comparing their magnitudes.
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Topics

Decimal Operations

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