Let a, b be integers. Prove that ((a, b), b) = (a, b).

d (nalds Work the following problems, found in nineteenth-century American arithmetic and algebra textbooks: 5. 1. A schoolmaster being asked how many scholars he had said, "If I had as many more as I now have, half as many, one-third, and one-fourth as many, I should then have 148." How many scholars had he? 6. 99

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Number Theory

How do I express each number to significant figures or scientific notation ?

what is a how-many-groups word problem for the equation 4 divided by 2/3?

Write a GOOD, MEANIFUL REAL WORLD story problems for the following: 5. 6+-10 (Your problem must model a realistic integer probiem.

Need help with the algebraic part of question 3. Thank you I will upvote!

Question 13 If two successive natural numbers have sum of squares equal to 113, what is the lower number? O 7 8. -8 -7

When working with very large or very small numbers we don't always want to write out all of the zeros. One strategy for shortening these numbers is to write these them in terms of powers of ten. To do this, we consider how many times we need to multiple ten by itself to get the desired output. Example: • 10 = 10¹ • 100 = 10 x 10 = 10² • 1000 Try it = Answer: 10 × 10 × 10 = 10³ Write ten thousand as a power of ten. Calculator