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

To solve the expression \(27.3 + 74.3\), we can simply add the two values:

\[
27.3 + 74.3 = 101.6
\]

Now, let's compare this result to each of the multiple-choice options by simplifying them:

1. **\( 74.3 - (-27.3) \)**: This becomes \( 74.3 + 27.3 = 101.6 \).
2. **\( 27.3 + (-74.3) \)**: This simplifies to \( 27.3 - 74.3 = -47.0 \).
3. **\( -27.3 - 74.3 \)**: This becomes \( -27.3 - 74.3 = -101.6 \).
4. **\( 74.3 - 27.3 \)**: This simplifies to \( 74.3 - 27.3 = 47.0 \).

The expression that is equivalent to \( 27.3 + 74.3 \) is **option 1**: \( 74.3 - (-27.3) \).

Do you have any questions or want more details?

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Here are 5 related questions for you to consider:
1. How can we visualize the addition and subtraction of negative numbers on a number line?
2. What is the rule for subtracting a negative number, and why does it result in addition?
3. Can we apply the commutative property to subtraction?
4. How would this problem change if one of the numbers was negative?
5. How do you solve a similar problem involving decimals with different decimal places?

**Tip:** When subtracting a negative number, think of it as adding the positive value!

Which expression is equivalent to 27.3 + 74.3?

Find out which expression is equivalent to 27.3 + 74.3. This detailed explanation covers key arithmetic concepts such as adding and subtracting decimals, negative numbers, and the commutative property of addition. Ideal for students in Grades 6-8.

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