Converting Standard Notation to Scientific Notation

This video tutorial explains how to convert numbers between standard and scientific notation. It covers the basics of moving decimals when multiplying or dividing by 10, simplifying large numbers using scientific notation, and using negative exponents for small numbers. The tutorial provides detailed steps for converting between notations and demonstrates how to return to standard notation from scientific notation.

What happens to the decimal point when you multiply a number by 10?

• It moves one place to the right.

• It stays the same.

• It moves one place to the left.

• It disappears.

How can 300 million be expressed in scientific notation?

• 3.0 x 10^9

• 3.0 x 10^6

• 3.0 x 10^7

• 3.0 x 10^8

What is the scientific notation for 0.00001?

• 1 x 10^-5

• 1 x 10^-7

• 1 x 10^-4

• 1 x 10^-6

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

• Multiply by 10.

• Add zeros to the end.

• Move the decimal point until one non-zero digit is on its left.

• Remove all zeros.

How many times do you move the decimal to convert 210,000 to 2.1 in scientific notation?

• 5 times

• 6 times

• 4 times

• 3 times

What does a negative exponent indicate in scientific notation?

• Multiplication by 10

• Division by 10

• Division by 100

• Multiplication by 100

What is the result of moving the decimal 4 places to the right in 2.7 x 10^4?

• 27000

• 2700

• 270

• 270000