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Question

Difficulty: MediumDecimal Operations

A logistics specialist is calculating the weight of four different cargo pallets in kilograms. Based on the provided mathematical expressions for each pallet, arrange them in order from lightest to heaviest.

  1. 1Pallet S: 9.5×5.4−3.359.5 \times 5.4 - 3.35
  2. 2Pallet Q: 12.5+7.12×512.5 + 7.12 \times 5
  3. 3Pallet P: 60.2−4.8×2.560.2 - 4.8 \times 2.5
  4. 4Pallet R: 58.08÷1.258.08 \div 1.2

Answer

The correct order from lightest to heaviest is Pallet S (47.9547.95 kg), Pallet Q (48.148.1 kg), Pallet P (48.248.2 kg), and Pallet R (48.448.4 kg).
The correct sequence is determined by first applying the proper order of operations (PEMDAS) to compute the exact weight of each pallet. Multiplying and dividing before adding and subtracting yields the values: Pallet S is 47.9547.95 kg, Pallet Q is 48.148.1 kg, Pallet P is 48.248.2 kg, and Pallet R is 48.448.4 kg. Comparing these final decimal figures starting from the greatest place value provides the correct ascending order.

Step-by-Step Solution

1
Calculate the exact weight of Pallet S.
9.5×5.4−3.35=51.3−3.35=47.959.5 \times 5.4 - 3.35 = 51.3 - 3.35 = 47.95
Applying the order of operations, multiplication is performed before subtraction.
2
Calculate the exact weight of Pallet Q.
12.5+7.12×5=12.5+35.6=48.112.5 + 7.12 \times 5 = 12.5 + 35.6 = 48.1
Multiplication precedes addition. Aligning the decimals properly ensures correct addition.
3
Calculate the exact weight of Pallet P.
60.2−4.8×2.5=60.2−12=48.260.2 - 4.8 \times 2.5 = 60.2 - 12 = 48.2
Multiply first to get exactly 1212, then subtract from 60.260.2.
4
Calculate the exact weight of Pallet R.
58.08÷1.2=580.8÷12=48.458.08 \div 1.2 = 580.8 \div 12 = 48.4
Shift the decimal point one place to the right in both the dividend and divisor to compute the division.
5
Compare the final decimal values to determine the ascending order.
47.95<48.1<48.2<48.447.95 < 48.1 < 48.2 < 48.4
Comparing digits from left to right (tens, ones, tenths, hundredths) confirms the sequence.

Key Concept

Applying the order of operations (PEMDAS) to evaluate decimal expressions and comparing relative decimal values.
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Topics

Decimal Operations

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