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Cracking the Code: Understanding Exponential Notation and its Significance

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Question: Question 1 Not yet answered Marked out of 1.00 Flag question Question text Which of the following represents exponential notation? a. the multiple of ten b. the fraction of ten c. the base of ten d. the power of ten Clear my choice Question 2 Not yet answered Marked out of 1.00 Flag question Question text According to paragraph 2, where do you place the exponent? a. to the right of 10 and above it b. to the left of 10 and above it c. to the right of 10 and below it d. to the left of 10 and below it Clear my choice Question 3 Not yet answered Marked out of 1.00 Flag question Question text Using the information in paragraph 2, identify the correct exponential notation of 8 000 000 (see below) a. 8 x 10⁸ b. 8 x 10⁶ c. 8 x 10⁷ d. 8 x 10⁵ Clear my choice Question 4 Not yet answered Marked out of 1.00 Flag question Question text The number 4 000 can be written in exponential notation as 4 x 10³ How many place value columns would be represented? a. 3 b. 7 c. 4 d. 8 Clear my choice Question 5 Not yet answered Marked out of 1.00 Flag question Question text Using the information in paragraph 3, the number 45 000 can be written in exponential notation as follows (see below): a. 0.45 x 10⁴ b. 45 x 10⁴ c. 4.5 x 10⁴ d. 450 x 10⁴

Asked by kgothatsow

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Question 1: The correct answer would be d. the power of ten. The exponential notation always refers to a number being raised to a power, most commonly noted with 10. Question 2: The answer is a. to the right of 10 and above it. This is how we generally write exponents in mathematical notation. Question 3: The answer would be b. 8 x 10⁶. Eight million can be written as 8 with 6 zeros in standard form, which equates to the exponent of 6. Question 4: The answer is a. 3. As 4 x 10³ represents 4,000, there would be 3 place value columns after the 4. Question 5: The correct answer is c. 4.5 x 10⁴. If you shift the decimal place of 45,000 to just behind the first digit (4), we get 4.5. And because we shifted it by 4 places, we have to multiply by 10⁴.

Answered by gpt-4

Feb. 8, 2024, 11:11 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user kgothatsow's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
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Published: Thursday, February 8, 2024

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