Section 1.7 Homework 1. Show how you can add the following numbers using the adding to ten facts: a. 9+ 5 b. 5 + 7 c. 97 + 25 2. a. Show how using partial sums addition to add 743 + 132 is similar to adding (7x2 + 4x + 3) + (x² + 3x + 2). b. Show how using partial sums subtraction to subtract 743 – 132 is similar to subtracting (7x² + 4x + 3) – (x² + 3x + 2). 3. Use negative numbers subtraction to subtract each of the following. Check your answers using a calculator or your own subtraction method. 82 а. b. 405 - 39 -327
Section 1.7 Homework 1. Show how you can add the following numbers using the adding to ten facts: a. 9+ 5 b. 5 + 7 c. 97 + 25 2. a. Show how using partial sums addition to add 743 + 132 is similar to adding (7x2 + 4x + 3) + (x² + 3x + 2). b. Show how using partial sums subtraction to subtract 743 – 132 is similar to subtracting (7x² + 4x + 3) – (x² + 3x + 2). 3. Use negative numbers subtraction to subtract each of the following. Check your answers using a calculator or your own subtraction method. 82 а. b. 405 - 39 -327
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.4: Least Common Denominators
Problem 13E
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Question
![Section 1.7, p.1
Section 1.7 Homework
1. Show how you can add the following numbers using the adding to ten facts:
а. 9 + 5
b. 5 + 7
c. 97 + 25
2. a. Show how using partial sums addition to add 743+ 132 is similar to adding
(7x² + 4x + 3) + (x² + 3x + 2).
b. Show how using partial sums subtraction to subtract 743 – 132 is similar to
subtracting (7x² + 4x + 3) – (x² + 3x + 2).
3. Use negative numbers subtraction to subtract each of the following. Check your
answers using a calculator or your own subtraction method.
82
а.
b.
405
- 39
-327
4. a. Show how using negative number subtraction to subtract 521 – 457 is similar
to subtracting (5x² + 2x + 1) – (4x2 + 5x + 7).
b. How are your answers to the two problems similar? How are they different?
5. a. Subtract (-3x² + 8x – 7) – (5x² – 2x + 7)
b. Explain why there is no similar example using numbers like in the previous
problem.
6. Subtract using front-end (“Mexican") subtraction.
а.
82
b.
405
- 39
-327
7. Subtract using equal addition subtraction. Remember, in your new subtraction
no borrowing should be needed!
143
b.
1,210
327
а.
- 54
8. Use Gauss's method to add the numbers from 1 to 40 (1 + 2 + 3 +... +38 + 39 +
40).
a. What will each pair add up to?
b. How many pairs will you have?
c. What's the final answer for adding all the numbers from 1 to 40?
9. Challenge! Use Gauss's method to add the even numbers from 1 to 40 (2 + 4 + 6
+ ... + 36 + 38+ 40).
a. What will each pair add up to?
b. How many pairs will you have?
c. What's the final answer for adding all the even numbers from 1 to 40?
Section 1.7, p.2
10. Review adding in bases:
87112
+ 28512
а.
2758
b.
11112
с.
+ 473s
+ 10112
11.
Review subtracting in bases:
а.
15428
b.
2146
с.
8E112
28512
714s
436
(In base 12, T=10, E = 11)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52fb10ec-0ee1-4d9f-b211-dfd109b77b93%2F8ca3b1fe-3622-46f2-a331-e46cf795776f%2F28xgx9e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Section 1.7, p.1
Section 1.7 Homework
1. Show how you can add the following numbers using the adding to ten facts:
а. 9 + 5
b. 5 + 7
c. 97 + 25
2. a. Show how using partial sums addition to add 743+ 132 is similar to adding
(7x² + 4x + 3) + (x² + 3x + 2).
b. Show how using partial sums subtraction to subtract 743 – 132 is similar to
subtracting (7x² + 4x + 3) – (x² + 3x + 2).
3. Use negative numbers subtraction to subtract each of the following. Check your
answers using a calculator or your own subtraction method.
82
а.
b.
405
- 39
-327
4. a. Show how using negative number subtraction to subtract 521 – 457 is similar
to subtracting (5x² + 2x + 1) – (4x2 + 5x + 7).
b. How are your answers to the two problems similar? How are they different?
5. a. Subtract (-3x² + 8x – 7) – (5x² – 2x + 7)
b. Explain why there is no similar example using numbers like in the previous
problem.
6. Subtract using front-end (“Mexican") subtraction.
а.
82
b.
405
- 39
-327
7. Subtract using equal addition subtraction. Remember, in your new subtraction
no borrowing should be needed!
143
b.
1,210
327
а.
- 54
8. Use Gauss's method to add the numbers from 1 to 40 (1 + 2 + 3 +... +38 + 39 +
40).
a. What will each pair add up to?
b. How many pairs will you have?
c. What's the final answer for adding all the numbers from 1 to 40?
9. Challenge! Use Gauss's method to add the even numbers from 1 to 40 (2 + 4 + 6
+ ... + 36 + 38+ 40).
a. What will each pair add up to?
b. How many pairs will you have?
c. What's the final answer for adding all the even numbers from 1 to 40?
Section 1.7, p.2
10. Review adding in bases:
87112
+ 28512
а.
2758
b.
11112
с.
+ 473s
+ 10112
11.
Review subtracting in bases:
а.
15428
b.
2146
с.
8E112
28512
714s
436
(In base 12, T=10, E = 11)
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