Dried rose petals can be used to make rose water. fatima buys 0.454 kilogram of rose petals.

she uses 0.02 kilogram of the rose petals to make rose water.
then she buys an additional 0.056 kilogram of rose petals.
finally she uses 0.095 kilogram of the rose petals to make more rose water.

fatima completes the steps below and says she has 0.413 kilogram of rose petals left. what mistake did she make?

Use the drop down menus to explain her mistake and to find the number of kilogram of rose petals left.

first step second step third step
0.454 0.452 0.508
- 0.02 + 0.056 - 0.095
0.452 0.508 0.413

Fatima made her first mistake at the: A. third, B. second, C. first step.
She incorrectly: A. regrouped when adding, B. regrouped when subtraction, C. aligned the place values.
Fatima has: A. 0.385, B. 0.405, C. 0.395 kilogram of rose petals left.

1 answer

Let's analyze Fatima's calculations step by step to identify where she made a mistake.

  1. Initial amount of rose petals: 0.454 kg
  2. Rose petals used to make the first batch of rose water: 0.02 kg
    • Remaining after first use:
      \( 0.454 - 0.02 = 0.434 \) kg (Not 0.452 kg as she stated.)
  3. Additional rose petals bought: 0.056 kg
    • Total after buying more:
      \( 0.434 + 0.056 = 0.490 \) kg (Not 0.508 kg as she stated.)
  4. Rose petals used to make the second batch of rose water: 0.095 kg
    • Remaining after second use:
      \( 0.490 - 0.095 = 0.395 \) kg (Not 0.413 kg as she stated.)

Now, let's fill in the dropdown options based on this analysis:

  • Fatima made her first mistake at the: C. first step.
  • She incorrectly: B. regrouped when subtraction.
  • Fatima has: C. 0.395 kilogram of rose petals left.

Thus, her final amount should be 0.395 kg, not 0.413 kg.

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