Studdy AI Logo
Math  /  Numbers & Operations

QuestionCHM_159 Worksheet\_Chapter\_E\_Answers (Measurements, Significant figures, Density, Dimensional Analysis)
1. Give the answer to the following calculation in scientific notation: (9.66×10−1)+(5.1×102)−8.77+2.8(8.333×10−2)(3.001)\frac{(9.66 \times 10^{-1}) + (5.1 \times 10^{2}) - 8.77 + 2.8}{(8.333 \times 10^{-2})(3.001)} Ans: 2.0×1032.0 \times 10^3

Studdy Solution

STEP 1

1. We need to perform arithmetic operations on numbers in scientific notation.
2. The operations include addition, subtraction, and division.
3. The final answer should be given in scientific notation.

STEP 2

1. Simplify the numerator.
2. Simplify the denominator.
3. Divide the simplified numerator by the simplified denominator.
4. Express the final result in scientific notation.

STEP 3

Convert all terms in the numerator to the same power of ten, if possible, and perform the arithmetic operations.
\[ (9.66 \times 10^{-1}) + (5.1 \times 10^{2}) - 8.77 + 2.8 $
Convert 9.66×10−19.66 \times 10^{-1} to 0.9660.966, and 5.1×1025.1 \times 10^{2} to 510510.
Calculate:
0.966+510−8.77+2.8=505.9960.966 + 510 - 8.77 + 2.8 = 505.996

STEP 4

Calculate the denominator:
(8.333×10−2)(3.001)(8.333 \times 10^{-2})(3.001)
Convert 8.333×10−28.333 \times 10^{-2} to 0.083330.08333.
Calculate:
0.08333×3.001=0.250082330.08333 \times 3.001 = 0.25008233

STEP 5

Divide the simplified numerator by the simplified denominator:
505.9960.25008233\frac{505.996}{0.25008233}
Calculate:
≈2023.98\approx 2023.98

STEP 6

Express the result in scientific notation:
2023.98≈2.0×1032023.98 \approx 2.0 \times 10^3
The final answer in scientific notation is:
2.0×103\boxed{2.0 \times 10^3}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord