Question

scientific notation - sort and arrange
drag cards that have equivalent expressions onto each other to make sets of 3 cards.
3.52 × 10⁴ 35,200 3.52 × 10,000
3.52 × 10² 352 3.52 × 100
3.52 × 10³ 3,520 3.52 × 1,000

Explanation:

Step1: Analyze the first set

We know that \(10^4 = 10000\), so \(3.52\times10^4=3.52\times10000 = 35200\). Also, \(3.52\times10000 = 35200\). So the first set of equivalent expressions is \(3.52\times10^4\), \(35200\), \(3.52\times10000\).

Step2: Analyze the second set

We know that \(10^2=100\), so \(3.52\times10^2 = 3.52\times100=352\). Also, \(3.52\times100 = 352\). So the second set of equivalent expressions is \(3.52\times10^2\), \(352\), \(3.52\times100\).

Step3: Analyze the third set

We know that \(10^3 = 1000\), so \(3.52\times10^3=3.52\times1000 = 3520\). Also, \(3.52\times1000=3520\). So the third set of equivalent expressions is \(3.52\times10^3\), \(3520\), \(3.52\times1000\).

Answer:

• Set 1: \(3.52\times10^4\), \(35200\), \(3.52\times10000\)
• Set 2: \(3.52\times10^2\), \(352\), \(3.52\times100\)
• Set 3: \(3.52\times10^3\), \(3520\), \(3.52\times1000\)