Math Problem Statement

Which expression is equivalent to 27, point, 3, plus, 74, point, 327.3+74.3?

Answer

Multiple Choice Answers

74, point, 3, minus, left parenthesis, minus, 27, point, 3, right parenthesis74.3−(−27.3)

27, point, 3, plus, left parenthesis, minus, 74, point, 3, right parenthesis27.3+(−74.3)

minus, 27, point, 3, minus, 74, point, 3−27.3−74.3

74, point, 3, minus, 27, point, 374.3−27.3

Solution

Let's simplify the given expression:

27.3+74.327.3 + 74.3

This is straightforward addition:

27.3+74.3=101.627.3 + 74.3 = 101.6

Now, let's evaluate the multiple choice options:

  1. 74.3(27.3)74.3 - (-27.3): This changes the addition to subtraction of a negative, which is incorrect. Subtracting a negative becomes addition, but the expression already involves addition.

  2. 27.3+(74.3)27.3 + (-74.3): This changes the second number to negative, turning the expression into subtraction, which is incorrect. The original expression adds both numbers.

  3. 27.374.3-27.3 - 74.3: This changes both numbers to negative and subtracts them, which results in a large negative number. This is incorrect.

  4. 74.327.374.3 - 27.3: This subtracts 27.3 from 74.3. Although this is a correct operation, it does not match the original expression, which involves addition.

Conclusion:

None of the options match exactly, but if we were to choose the closest, option 4: 74.327.374.3 - 27.3 is the closest because it correctly involves the numbers, even though it represents subtraction, which gives 47,

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Addition
Negative Numbers

Formulas

Addition of real numbers: a + b

Theorems

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Suitable Grade Level

Grades 5-6