Scientific Notation and Rounding Concepts

The video tutorial covers IB style practice questions focusing on scientific notation, rounding, approximation, and error. It explains how to use calculators for these tasks, including using exponents and rounding to decimal places and significant figures. The tutorial also discusses writing numbers in scientific notation and provides practical examples of rounding in real-world scenarios. Additionally, it explains the IB mark scheme for these topics.

What is the result of 3.7 times 16.2 squared minus 500, rounded to two decimal places?

• 471.03

• 470.98

• 471.02

• 472.00

When rounding the number 471.028 to three significant figures, what is the result?

• 471

• 470

• 471.0

• 472

In scientific notation, how is the number 471.028 expressed?

• 4.71028 × 10^2

• 47.1028 × 10^1

• 471.028 × 10^0

• 0.471028 × 10^3

A girl's height is 1.623 meters. What is her height to the nearest centimeter?

• 161 cm

• 160 cm

• 163 cm

• 162 cm

If the time taken to fill a tank is 2 hours and 43 minutes, what is this time rounded to the nearest five minutes?

• 2 hours 35 minutes

• 2 hours 50 minutes

• 2 hours 45 minutes

• 2 hours 40 minutes

How many people are at a show with an attendance of 2591, rounded to the nearest 100?

• 2550

• 2700

• 2600

• 2500

The mean distance of the moon from the Earth is approximately 384,403 kilometers. How is this distance expressed in scientific notation?

• 3.84403 × 10^5

• 0.384403 × 10^6

• 38.4403 × 10^4

• 384.403 × 10^3

What is the first step in converting a large number to scientific notation?

• Divide by 10

• Count the number of zeros

• Multiply by 100

• Identify the first non-zero digit

When expressing a number in scientific notation, what should the value of 'a' be?

• Greater than 10

• Between 1 and 10

• Between 0 and 1

• Less than 0

If a number is very large, what type of exponent is used in scientific notation?

• Fractional exponent

• Zero exponent

• Positive exponent

• Negative exponent