Basic Rule for Dividing Powers of 10 10³ 1000 10¹ 10 Notice that: Rule: = 10³-1 10² (Subtract exponents) 10³ Part A: 1010 104 Part B: 10¹ Hint Hint Answer: = 100 = 10² 10 to the power of 10⁹ 106 10 to the power of Part C: What is 10 billion divided by 100 million? T 106 II
Basic Rule for Dividing Powers of 10 10³ 1000 10¹ 10 Notice that: Rule: = 10³-1 10² (Subtract exponents) 10³ Part A: 1010 104 Part B: 10¹ Hint Hint Answer: = 100 = 10² 10 to the power of 10⁹ 106 10 to the power of Part C: What is 10 billion divided by 100 million? T 106 II
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![**Basic Rule for Dividing Powers of 10**
Notice that:
\[
\frac{10^3}{10^1} = \frac{1000}{10} = 100 = 10^2
\]
**Rule:**
\[
\frac{10^3}{10^1} = 10^{3-1} = 10^2 \quad \text{(Subtract exponents)}
\]
---
**Part A:**
\[
\frac{10^{10}}{10^4} = 10 \text{ to the power of } \Box - \Box = 10^6
\]
**Part B:**
\[
\frac{10^9}{10^6} = 10 \text{ to the power of } \Box - \Box = \Box
\]
**Part C: What is 10 billion divided by 100 million?**
Hint:
Answer: \(\Box\)
---
**Explanation:**
The image illustrates the rule for dividing powers of ten by subtracting the exponents. For example, \(\frac{10^3}{10^1} = 10^{3-1} = 10^2\). In this same way, examples are provided for calculations using different exponents, guiding learners to fill in the blanks with the correct calculations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fefd7927f-ac9e-4e68-9b96-722bdd08a72a%2F185a2413-0980-4d5e-bdc9-76cad2287483%2Fwpyqzcm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Basic Rule for Dividing Powers of 10**
Notice that:
\[
\frac{10^3}{10^1} = \frac{1000}{10} = 100 = 10^2
\]
**Rule:**
\[
\frac{10^3}{10^1} = 10^{3-1} = 10^2 \quad \text{(Subtract exponents)}
\]
---
**Part A:**
\[
\frac{10^{10}}{10^4} = 10 \text{ to the power of } \Box - \Box = 10^6
\]
**Part B:**
\[
\frac{10^9}{10^6} = 10 \text{ to the power of } \Box - \Box = \Box
\]
**Part C: What is 10 billion divided by 100 million?**
Hint:
Answer: \(\Box\)
---
**Explanation:**
The image illustrates the rule for dividing powers of ten by subtracting the exponents. For example, \(\frac{10^3}{10^1} = 10^{3-1} = 10^2\). In this same way, examples are provided for calculations using different exponents, guiding learners to fill in the blanks with the correct calculations.
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