Which examples below are acceptable entries…

Mathematics Questions

Which examples below are acceptable entries for the given equations? 1. −2, 420 + 3, 100 = 680 • Example: 680. 2. 0.64 ÷ 8.43 = 0.075919335705813 • Examples: 0.075919336, 0.07591933. 3. 12.194 × 5.71 = 69.62774 • Examples: 69.628, 69.62774. 4. 3.4 + 2.6 = 6 • Examples: 6.0, 6.

Short Answer

The process involves evaluating equations to find results, rounding them according to specified decimal places, and then determining the acceptance of each rounded entry. Accepted results include 680 for -2,420 + 3,100, various rounded values for 0.64 √∑ 8.43 and 12.194 √ó 5.71, and valid representations for 3.4 + 2.6.

Step-by-Step Solution

Step 1: Evaluate Each Equation

Begin by performing the calculations for each equation provided to find the correct results. For instance:

  • ‚àí 2,420 + 3,100 results in 680.
  • 0.64 √∑ 8.43 yields 0.075919335705813.
  • 12.194 √ó 5.71 gives 69.62774.
  • 3.4 + 2.6 equals 6.

Step 2: Apply Rounding Rules

Next, round the results according to the required decimal places for each equation. For example:

  • For 0.64 √∑ 8.43, round to 9 decimal places as 0.075919336 and to 7 decimal places as 0.0759193.
  • For 12.194 √ó 5.71, the results are rounded to 69.628 (3 decimal places) and 69.6277 (4 decimal places).
  • In the case of 3.4 + 2.6, the entries 6.0 (one decimal) and 6 (whole number) are both valid.

Step 3: Accept or Reject Each Entry

Finally, determine the acceptance of each rounded entry based on whether they accurately reflect the calculated values. The accepted entries are:

  • 680 for ‚àí 2,420 + 3,100
  • 0.075919336 and 0.0759193 for 0.64 √∑ 8.43
  • 69.628 and 69.6277 for 12.194 √ó 5.71
  • 6.0 and 6 for 3.4 + 2.6

Each entry has been assessed based on rounding accuracy to ensure they reflect the correct results.

Related Concepts

Calculation

The process of performing mathematical operations on numbers to obtain a result.

Rounding

The process of adjusting the value of a number to a specified degree of precision, often by increasing or decreasing it to the nearest specified decimal place.

Acceptance criteria

The set of standards or benchmarks used to determine whether the results of calculations and their rounded values are considered valid or accurate.

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