Using Integer Powers of 10

Using Integer Powers of 10
February 9, 2024

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3 Questions

Multiple Choice

What is the value of the expression, written as a fraction?

• 4/125

• 16/125

• 4/25

• 16/25

Multiple Choice

Which of the following is equivalent to the expression 4^4 x 4^-6?

• 1/4^2

• 1/4^10

• 4^10

• 4^2

Multiple Choice

What relation is also a function?

• A

• B

• C

• D

Open Ended

How are they the same? How are they different?

•Scientific Notation: a way of writing a very large or very small number using a number between 1 and 10 multiplied by a power of 10

•Explain: make clear by describing; to make something clear by describing it in more detail or by revealing relevant facts or ideas

•Significance: the quality of being worthy of attention; importance

•Utility: the state of being useful, profitable, or beneficial

•Real-world: relating to a concrete setting ​

SWBAT read and write very large and small numbers using scientific notation IOT explain the significance and utility of scientific numbers in the real-world

8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities and to express how many times as much one is than the other.

Draw

According to the U.S. Mint, the number of quarters minted in 2018 was about 2 x 10^9. The mass of a quarter is about 6 X 10^-3 kg. Write the number of quarters and the mass of a quarter in standard form.

Open Ended

Do not press submit until you answer A & B

Open Ended

One ounce of gold can be made into a wire that is 8 x 10^4 m long and 5 x 10^-6 m thick. Write the length and thickness of the wire in standard form.

Multiple Choice

How would you write 0.0005 in scientific notation?

• 50 x 10^-5
• 5 x 10^-4
• 5 x 10³
• .5 x 10³

Multiple Choice

Convert to scientific notation:
520,000,000  

• 52 x 10⁷
• 5.2 x 10⁷
• 5.2 x 10⁸
• 0.52 x 10⁹

Multiple Choice

Which one of these is in scientific notation?

• 8.987000
• 8.98 x 10⁶
• 80.987 x 10
• 8.98⁶

Multiple Choice

Is this in correct scientific notation? $$1.908×10^{17}$$  

• Yes

• No

Multiple Choice

Is this in correct scientific notation? $$70.9×10^{32}$$  

• Yes

• No

Multiple Choice

Is this in correct scientific notation? $$4.0701+10^7$$  

• Yes

• No

Multiple Choice

Is this in correct scientific notation? $$1.432×5^8$$  

• Yes

• No

Multiple Choice

$$14.4\times10^6$$  

What is wrong with the number above?

• The first number is not less than 10

• The base of the power needs to be 10

• The exponent needs to be an Integer

• The operation in the middle should be Multiplication

Multiple Choice

$$8.93\times10^3$$  What is this number written in Standard Form?

• 893

• 893000

• 8930

• 89.3