Question

As of January 2016, the national debt of a certain country was $17.7 trillion. a. Express 17. 7 trillion in scientific notation. b. Four years of tuition, fees, and room and board at a public college cost approximately $50,000. Express this number in scientific notation c. Use your answers from parts (a) and (b) to determine how many citizens could receive a free college education for $17.7 trillion. a. 177 trillion (Use scientific notation Use the multiplication symbol in the math palette as needed) Which of these has cognitive science found to be a poor way to commit fundamentals of math and science to memory?

Answer 1

According to cognitive science, rote memorization is a poor way to commit fundamental concepts in math and science to memory.

Step-by-step explanation:

Rote memorization, also known as repetition learning, involves the mindless repetition of information until it is memorized. While this method may be effective for memorizing simple facts or formulas, it has been found to be a poor way to commit fundamental concepts in math and science to memory. This is because rote memorization does not promote a deep understanding of the concepts being learned. Instead, it relies solely on memorization and recall, without any real comprehension or application of the concepts.

Cognitive science has shown that a more effective way to learn fundamental concepts in math and science is through active learning and problem-solving. This involves engaging with the material in a meaningful way, rather than simply memorizing it. Active learning can take many forms, such as working through practice problems, discussing concepts with peers, or applying them to real-world situations. By actively engaging with the material, learners are able to develop a deeper understanding of the concepts being learned, which leads to better retention and application of those concepts.

In summary, while rote memorization may be useful for memorizing simple facts or formulas, it is not an effective way to learn fundamental concepts in math and science. Instead, active learning and problem-solving are more effective methods for promoting a deep understanding of these concepts.

Answer 2

The national debt of $17.7 trillion is expressed in scientific notation as 1.77 x 10^13, and the cost of college at $50,000 is expressed as 5 x 10^4. By dividing these two numbers, we find that approximately 354 million free college educations could be funded by the $17.7 trillion debt.

Step-by-step explanation:

Expressing Numbers in Scientific Notation

The national debt and the cost of tuition can both be expressed in scientific notation, which is a way of writing numbers that are too large or too small to be conveniently written in decimal form.

Part A: National Debt in Scientific Notation

The national debt of $17.7 trillion is written in scientific notation as 1.77 × 1013.

Part B: College Cost in Scientific Notation

Four years of tuition costing approximately $50,000 is expressed in scientific notation as 5 × 104.

Part C: Calculating Free College Education find out how many college educations can be provided for $17.7 trillion, we divide the national debt in scientific notation by the cost of college in scientific notation:

×13 / 5 × 104 = 3.54 × 108, meaning that approximately 354 million citizens could receive a free college education for the amount of the national debt.