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Question 4 of 15

Which of the following expressions have answers with more than 2 significant figures? You do not need to simplify the expressions. Check all that apply.

A. [tex]4.67+14.3[/tex]
B. [tex]201 \cdot 3.52[/tex]
C. [tex]100-47.4[/tex]
D. [tex]10 \cdot 4.7[/tex]

Sagot :

GinnyAnswer
Let's break down each expression to determine the number of significant figures in the final result and identify which ones have more than 2 significant figures.

#### Expression A: [tex]\(4.67 + 14.3\)[/tex]
- Perform the addition: [tex]\(4.67 + 14.3 = 18.97\)[/tex].

To determine the significant figures:
- [tex]\(4.67\)[/tex] has 3 significant figures.
- [tex]\(14.3\)[/tex] has 3 significant figures.
- The sum [tex]\(18.97\)[/tex] has 4 significant figures.

Thus, Expression A has 4 significant figures.

#### Expression B: [tex]\(201 \cdot 3.52\)[/tex]
- Perform the multiplication: [tex]\(201 \cdot 3.52 = 707.52\)[/tex].

To determine the significant figures:
- [tex]\(201\)[/tex] has 3 significant figures.
- [tex]\(3.52\)[/tex] has 3 significant figures.
- The product [tex]\(707.52\)[/tex] has 5 significant figures.

Thus, Expression B has 5 significant figures.

#### Expression C: [tex]\(100 - 47.4\)[/tex]
- Perform the subtraction: [tex]\(100 - 47.4 = 52.6\)[/tex].

To determine the significant figures:
- [tex]\(100\)[/tex] has 1 significant figure (assuming it is exact, we consider this as 3 for subtraction).
- [tex]\(47.4\)[/tex] has 3 significant figures.
- The difference [tex]\(52.6\)[/tex] has 3 significant figures.

Thus, Expression C has 3 significant figures.

#### Expression D: [tex]\(10 \cdot 4.7\)[/tex]
- Perform the multiplication: [tex]\(10 \cdot 4.7 = 47\)[/tex].

To determine the significant figures:
- [tex]\(10\)[/tex] has 1 significant figure (assuming exact, treated as 2 for multiplication-based rules).
- [tex]\(4.7\)[/tex] has 2 significant figures.
- The product [tex]\(47\)[/tex] has 2 significant figures.

Thus, Expression D has 2 significant figures.

### Conclusion
Only Expressions A, B, and C have more than 2 significant figures. Therefore, the correct expressions are:
- A. [tex]\(4.67 + 14.3\)[/tex]
- B. [tex]\(201 \cdot 3.52\)[/tex]
- C. [tex]\(100 - 47.4\)[/tex]
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