Question

1. fill in the chart below to write an equivalent representation of the numbers in scientific notation. the first two have been completed for you as examples.

2.09 × 10³
2.09 × 10 × 10 × 10
2.09 × 1,000
2,090
5.033 × 10⁻²
5.033 ÷ 10 ÷ 10
5.033 × 0.01
0.05033
5.033 × 0.1 × 0.1
5.033 ÷ 100
6.18 × 10⁻³
4.8 × 10²

Explanation:

Step1: Process $4.8 \times 10^2$

Step1a: Equivalent repeated multiplication

$4.8 \times 10 \times 10$

Step1b: Equivalent whole number product

$4.8 \times 100$

Step1c: Convert to standard form

$480$

Step2: Process $6.18 \times 10^{-3}$

Step2a: Equivalent division by powers of 10

$6.18 \div 10 \div 10 \div 10$

Step2b: Equivalent division by whole number

$6.18 \div 1000$

Step2c: Convert to standard form

$0.00618$

Step3: Verify $5.033 \times 10^{-2}$ (complete missing)

Step3a: Equivalent decimal multiplication

$5.033 \times 0.01$

Step3b: Convert to standard form

$0.05033$

Answer:

Scientific Notation	Equivalent Repeated Multiplication/Division	Equivalent Whole Number Product/Division	Standard Form
$5.033 \times 10^{-2}$	$5.033 \div 10 \div 10$	$5.033 \times 0.01$ / $5.033 \div 100$	$0.05033$
$6.18 \times 10^{-3}$	$6.18 \div 10 \div 10 \div 10$	$6.18 \div 1000$ / $6.18 \times 0.001$	$0.00618$
$4.8 \times 10^2$	$4.8 \times 10 \times 10$	$4.8 \times 100$	$480$