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tatiyna
3 years ago
15

1. Keeping in mind the rules for significant digits, if we multiply 11.55 by 2.5, how many significant digits are we allowed to

keep?
A. 5
B. 2
C. 3
D. 4
2. Keeping in mind the rules for rounding, significant digits, and scientific notation, what is 975.0321/0.0003?
A. 3.250107 × 10^6
B. 3.3 × 10^6
C. 3.25 × 10^6
D. 3 × 10^6
E. 325010.7
3. Keeping in mind the rules for significant digits, find 0.00147 × 8.314 × 7.100?
A. 8.677 × 10^−2
B. 0.087
C. 8.68 × 10^−2
D. 8.7 × 1^02
Mathematics
1 answer:
kherson [118]3 years ago
4 0
1. For multiplication and division), we first compare the number of significant figure (let's call it SF later in the problem) that the factors have. The product will have the least numbers between them. So, for the case of 11.55 x 2.5, 11.55 has 4 SF while 2.5 has 2. So we choose the smallest which is 2 for this case. Hence, the answer is B. 2. Using the same rules as mentioned in Item 1, we first compare the number of SF in the numbers give. 975.0321 has 7 SF while 0.0003 has 1 (all zeroes not following a counting number are not significant). We now solve for the quotient and round it off to 1 SF. (975.0321/0.0003) = 3250107. Rounding it off, we have 3000000 or 3 x 10⁶. Thus, the answer is D. 3. The rules for multiplication still apply even for more than two factors. So, let's first take note of the SF present in each factor as shown below. 0.00147 = 3 SF 8.314 = 4 SF 7.100 = 4 SF (zeroes after a counting number in the decimal place are considered significant) From this, we can see that the product must round off to 3 SF. Multiplying the three numbers, we have 0.00147 x 8.314 x 7.100 = 0.086773218 So, the product rounded off to 3 SF is 0.0868 or 8.68 x 10⁻². So, the answer must be C<span>. </span>
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An agency has 4,000 employees. 2,000 employees have at least two years of college education. 1,000 of those employees have bache
weqwewe [10]

Answer:

1/80 of the agency's employees have PhDs.

Step-by-step explanation:

Given that:

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3 years ago
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babunello [35]

To evaluate this expression, we need to remember that subtracting a negative number is the same as adding a positive number, and that adding a negative number is the same as subtracting a positive number. Using this knowledge, let's begin to simplify the expression below:

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Because addition of a negative number is the same as subtraction of a positive number, we can change + (-5) to -5, as shown below:

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Now, we can subtract the first two terms and begin to evaluate our expression:

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shepuryov [24]
Hope this helps

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