Multiplication of Numbers in Scientific Notation

Multiple Choice

$$10^3\times10^2$$

• $$10^6$$

• $$10^5$$

• $$10^2$$

• $$10^4$$

Multiple Choice

$$2^4\times2^5$$

• $$2^{20}$$

• $$2^3$$

• $$2^9$$

• $$2^{13}$$

Multiple Choice

$$10^{-1}\times10^3$$

• $$10^2$$

• $$10^0$$

• $$10^1$$

• $$10^{-2}$$

Multiple Choice

$$10^{-5}\times10^5$$

• $$10^1$$

• $$10^2$$

• $$10^{-1}$$

• $$1$$

Multiple Choice

$$8^0\times8^1$$

• 8
• 1
• 16
• 64

Multiple Choice

What is

$$2.6\times2$$ ?

• 3.5
• 6.4
• 4.8
• 5.2

Multiple Choice

What is the product of

$$2.4\ \times3$$ ?

• 7.2
• 6.8
• 9.3
• 5.6

Multiple Choice

What is $$1.5\ \times3$$ ?

• 3.5
• 2.5
• 5.5
• 4.5

Multiple Choice

What is the product of $$2.3\times2$$ ?

• 6.2
• 3.8
• 4.6
• 5.3

Multiple Choice

What is $$5.6\times3$$ ?

• 18.3
• 16.8
• 15.6
• 14.2

Multiple Choice

What are the GIVEN facts in the word problem?

• $$1.6\ \times10^2\ and\ 2\times10^2$$

• $$1.6\ \times10^{12}\ and\ 2\times10^2$$

• $$1.6\ \times10^2\ and\ 2\times10^{12}$$

• $$1.6\ \times10^{-2}\ and\ 2\times10^{-2}$$

Multiple Choice

What operation will solve the problem?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

What is the number sentence to solve this problem?

• $$\left(1.6\ \times10^2\right)+\left(2\times10^2\right)$$

• $$\left(1.6\ \times10^2\right)-\left(2\times10^2\right)$$

• $$\left(1.6\ \times10^2\right)\times\left(2\times10^2\right)$$

• $$\left(1.6\ \times10^2\right)\div\left(2\times10^2\right)$$

Multiple Choice

What is $$1.6\times2$$ ?

• 4.8
• 2.5
• 0.8
• 3.2

Multiple Choice

What is $$10^2\times10^2$$ ?

• $$10^2$$

• $$10^4$$

• $$10^3$$

• $$10^1$$

Multiple Choice

What are the GIVEN facts in this problem?

• $$2.5\times10^4\ and\ 3\times10^1$$

• $$2.5\times10^{-4}\ and\ 3\times10^0$$

• $$2.5\times10^4\ and\ 3\times10^0$$

• $$2.5\times10^4\ and\ 3\times10^2$$

Multiple Choice

What operation will help solve this problem?

• Subtraction

• Multiplication

• Addition

• Division

Multiple Choice

What is the number sentence that can solve the problem?

• $$\left(2.5\times10^4\right)\ \times\left(3\times10^0\right)$$

• $$\left(2.5\times10^4\right)\ +\left(3\times10^0\right)$$

• $$\left(2.5\times10^4\right)\ -\left(3\times10^0\right)$$

• $$\left(2.5\times10^4\right)\ \div\left(3\times10^0\right)$$

Multiple Choice

What is $$2.5\times3$$ ?

• 7.5
• 15
• 8.5

• 6

Multiple Choice

What is $$\left(10^4\times10^0\right)$$ ?

• $$10^5$$

• $$10^2$$

• $$10^4$$

• $$10^3$$

Multiple Choice

What is $$\left(1.7\times10^3\right)\times\left(3\times10^{10}\right)$$ ?

• $$5.1\times10^{30}$$

• $$4.1\times10^{13}$$

• $$5.1\times10^{12}$$

• $$5.1\times10^{13}$$

Multiple Choice

$$\left(3.6\times10^5\right)\times\left(2\times10^3\right)$$

• $$5.6\times10^7$$

• $$7.2\times10^8$$

• $$1.8\times10^9$$

• $$4.2\times10^8$$

Multiple Choice

$$\left(1.8\times10^{12}\right)\times\left(4\times10^5\right)$$

• $$6.2\times10^{13}$$

• $$7.2\times10^{13}$$

• $$6.2\times10^{17}$$

• $$7.2\times10^{17}$$

Multiple Choice

$$\left(2\times10^{-2}\right)\times\left(3.8\times10^{-5}\right)$$

• $$7.6\times10^{-7}$$

• $$7.6\times10^{-6}$$

• $$6.8\times10^{-9}$$

• $$6.8\times10^{-7}$$

What are the steps in multiplying numbers written in scientific notation?

1. Group the number parts and the 10s with the exponents.

2. Multiply the number parts.

3. Add the exponents of the 10s.

Open Ended

In your own words, how do you multiply numbers written in scientific notation?