Question

2: given scientific notation write in standard form
a) 4.3 × 10³ _______________
b) 2.198 × 10⁶ _______________
c) 3.5 × 10⁻³ _______________
d) 1.08 × 10⁻⁷ _______________
review! which number sets does 5.8 × 10⁴ belong to? write the number in expanded form, then circle all that apply: _______________________
natural whole integer rational irrational

Explanation:

Part a: \( 4.3 \times 10^3 \) to Standard Form

Step1: Recall \( 10^3 = 1000 \)

\( 10^3 = 10 \times 10 \times 10 = 1000 \)

Step2: Multiply 4.3 by 1000

\( 4.3 \times 1000 = 4300 \)

Step1: Recall \( 10^6 = 1000000 \)

\( 10^6 = 10 \times 10 \times 10 \times 10 \times 10 \times 10 = 1000000 \)

Step2: Multiply 2.198 by 1000000

\( 2.198 \times 1000000 = 2198000 \)

Step1: Recall \( 10^{-3} = \frac{1}{10^3} = \frac{1}{1000} = 0.001 \)

\( 10^{-3} = 0.001 \)

Step2: Multiply 3.5 by 0.001

\( 3.5 \times 0.001 = 0.0035 \)

Answer:

4300

Part b: \( 2.198 \times 10^6 \) to Standard Form