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Use the rules of significant figures to simplify the following expression:

[tex]\[ 47.58 - 6.4 \][/tex]

Answer: _________

Sagot :

GinnyAnsweridn
Sure! Let's simplify the expression [tex]\( 47.58 - 6.4 \)[/tex] using the rules of significant figures. Here’s a step-by-step solution:

1. Identify the decimal places in each number:
- The number [tex]\( 47.58 \)[/tex] has two decimal places.
- The number [tex]\( 6.4 \)[/tex] has one decimal place.

2. Perform the subtraction:
- Subtract [tex]\( 6.4 \)[/tex] from [tex]\( 47.58 \)[/tex]:
[tex]\[ 47.58 - 6.4 = 41.18 \][/tex]

3. Determine the number of decimal places for the result:
- According to the rules of significant figures for addition and subtraction, the result should be rounded to the least number of decimal places in any of the numbers being combined.
- In this case, [tex]\( 6.4 \)[/tex] has the least number of decimal places (one decimal place).

4. Round the result to the appropriate number of decimal places:
- The unrounded result is [tex]\( 41.18 \)[/tex].
- Round [tex]\( 41.18 \)[/tex] to one decimal place:
[tex]\[ 41.18 \approx 41.2 \][/tex]

5. Final simplified result:
- The simplified result of the expression [tex]\( 47.58 - 6.4 \)[/tex] is [tex]\( 41.2 \)[/tex].

So, using the rules of significant figures, the simplified result of [tex]\( 47.58 - 6.4 \)[/tex] is [tex]\( 41.2 \)[/tex].
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