Exploring Scientific Notation Division Techniques

The video tutorial covers dividing numbers in scientific notation, focusing on using the associative property and the quotient of powers property. It provides step-by-step examples, highlights common mistakes, and explains how to correct them. The tutorial concludes with a final example to reinforce the concepts learned.

What is the first step in dividing 5.2 × 10^13 by 1.3 × 10^7?

• Add the exponents

• Divide the coefficients

• Multiply the coefficients

• Subtract the exponents

What is the result of dividing 5.2 by 1.3?

• 2

• 3

• 5

• 4

When using the quotient of powers property, what do you do with the exponents?

• Multiply them

• Subtract them

• Divide them

• Add them

What is the simplified form of 6 × 10^6 divided by 2 × 10^3?

• 12 × 10^3

• 12 × 10^9

• 3 × 10^9

• 3 × 10^3

In the third example, what is the result of dividing 1.4 by 7?

• 0.2

• 0.4

• 2

• 4

After dividing the coefficients in the third example, what is the next step?

• Divide the exponents

• Multiply the exponents

• Subtract the exponents

• Add the exponents

Why do we need to adjust the final answer in the third example?

• The exponent is too large

• The coefficient is not between 1 and 10

• The exponent is negative

• The coefficient is too small

What is the correct final answer for 1.4 × 10^9 divided by 7 × 10^2?

• 0.2 × 10^6

• 2.0 × 10^7

• 2.0 × 10^6

• 0.2 × 10^7

In the final example, what is the result of dividing 1.05 by 5?

• 0.25

• 0.20

• 0.21

• 0.15

What is the final answer for 1.05 × 10^12 divided by 5 × 10^4?

• 2.1 × 10^8

• 0.21 × 10^7

• 2.1 × 10^7

• 0.21 × 10^8