Multiplying Powers of 10: Key Concepts and Techniques

The video tutorial explains how to multiply numbers with exponents, specifically focusing on the problem of multiplying nine times 10 to the ninth power times negative two times 10 to the negative third power. The instructor encourages viewers to pause and attempt the problem themselves. The solution involves reordering the multiplication, simplifying the terms, and applying exponent rules to combine the exponents. The final result is calculated as negative 18 times 10 to the sixth power, which is equivalent to negative 18 million. The tutorial emphasizes understanding the properties of exponents and the importance of order in multiplication.

What is the first step suggested to solve the problem?

• Multiply all numbers together at once

• Change the order of multiplication

• Divide the numbers first

• Add the exponents first

What is the result of multiplying 9 and -2?

• -9

• -18

• 18

• 0

What is the value of 9 * 2?

• 9

• 27

• 18

• 36

What property of exponents is used to multiply 10^9 and 10^-3?

• Product of Powers Property

• Zero Exponent Property

• Quotient of Powers Property

• Power of a Power Property

What is the sum of the exponents 9 and -3?

• 6

• 3

• 12

• 0

What is the simplified form of 10^9 * 10^-3?

• 10^12

• 10^6

• 10^0

• 10^3

What is the final result of the expression 9 * 10^9 * -2 * 10^-3?

• 18 * 10^6

• -18 * 10^6

• -18 * 10^3

• -9 * 10^6

What is 10^6 equivalent to?

• One thousand

• One hundred thousand

• One million

• Ten million

How can -18 * 10^6 be represented in another way?

• -180 thousand

• -18 million

• -1.8 million

• -18 thousand

What is the final numerical value of -18 * 10^6?

• -1.8 million

• -18 million

• -180 thousand

• -1.8 billion