Question

Perform the following calculations. Express the answers scientific notation. Do NOT use a calculator. a) 4.310-3+5.810-4= b) 7.9 104 9.8 103= c. (4.5 x 10-14) x (5.2 x 103) = (6.1 x 105)/(1.2 x 10-3) =

2) Perform the following calculations. Express the answers scientific notation. Do NOT use a calculator.
a) 4.310-3+5.810-4=
b) 7.9 104 9.8 103=
c. (4.5 x 10-14) x (5.2 x 103) =
(6.1 x 105)/(1.2 x 10-3) =

Answer 1

When performing operations with scientific notation, we adjust terms for addition, multiply or divide the decimal parts and add or subtract exponents for multiplication or division respectively, without using a calculator.

Step-by-step explanation:

Performing the following calculations and expressing the answers in scientific notation:

1. Addition in scientific notation- To perform the addition, we need to have the same exponent for both terms. For example, if we have 4.3×10-3 + 5.8×10-4, we would need to adjust either term so that both have the same power of ten before we can add them directly.
2. Multiplication in scientific notation- When multiplying numbers in scientific notation, we multiply the decimal parts and add the exponents. For instance, 7.9×104 x 9.8×103 would be calculated by multiplying 7.9 by 9.8 and then adding the exponents.
3. Division in scientific notation- To divide numbers in scientific notation, we divide the decimal parts and subtract the exponents. So, the expression (6.1×105) / (1.2×10-3) is calculated by dividing 6.1 by 1.2 and subtracting the exponents of 10.

No calculator was used in these explanations, showcasing how to perform the operations manually.