Prove the 8 divisibility test for ANY number. This should be a mathematical proof, not a word or paragraph proof.    DO NOT write a proof that is for just a four-digit number or a five-digit number.  If you do that then you are not proving it for ANY number.  You must prove it for ANY number by proving that 8 | (10n-1an-1 + 10n-2an-2 + 10n-3an-3 + … + 100a2 + 10a1 + a0).   without modular

Q: 7p The simplified product of 5m³n3 and p5 where m + 0, n # 0 and 10m4n p + 0, can be represented by…

A: We have to simplified the product.

Q: what property of arithmetic tells us that if 5*-3=-15, then -3*5=-15?

A: We need to identify the property according to which we can write as  5×-3 =-15 then, -3×5 =-15

Q: Every natural number can be written as the products of prime numbers

A: Prime numbers are the numbers which have only two factors, 1 and the number itself.

Q: The number 42 has the prime factorization 2. 3. 7. Thus, 42 can be written in four ways as a product…

A: An integer 'n' is called a factor or a divisor of another integer 'm' if 'n' divides 'm' exactly…

Q: In this magic square, which uses all the integers from 7 to 15, each of the rows, columns and the wo…

A:

Q: -5a -7<12

A:

Q: Which number line shows the solutions to n > -2? + 4 5 6 -6 -5 -4 -3 -2 -1 0 1 2 +++ 1 2 3 4 5 6 -6…

A: Given: To identify the line which shows n&gt;-2

Q: Every natural number can be written as the products of prime numbers

A: This statement is true and we can prove this in step 2.

Q: Every natural number can be written as the products of prime numbers

A: Prime number are the numbers which have only two factors, 1 and the number itself.

Q: The number 42 has the prime factorization 2- 3-7. Thus, 42 can be written in four ways as a product…

A: Factorise  910 inti prine factors and the find the required pairs.

Q: C₂n (-1) Co n!

A: Here the coefficients c(n) are given

Q: (a) Fill in the blank in the following statement. To obtain the greatest product, the digit in the…

A: To multiply a 3-digit number by a 2-digit number, use the following steps. First, multiply the…

Q: 57 + 233+ 43+ 67 Use commutative property to switch two of the numbers to make it easier to add…

A: The given addition can be written as (57+43)+(233+67).

Q: need help

A: step 1Step 2:Step 3: Step 4:

Q: solved it Rewrite the statement in if-then form in two ways, one of which is the contrapositive of…

A: Being divisible by 3 is a necessary condition for this number to be divisible by 9.

Q: What is the smallest subset of real numbers -4 fits into?

A: Understanding of the number system is required in order to solve this question. The real numbers are…

Q: Use a direct proof to show that if n² is an odd integer, then n* is also an odd integer.

A:

Q: Determine whether the statement is true or false. Modify each false statement to make it a true…

A: A number y is said to be divisible by another number x if we are able to divide the number y with x…

Q: (325)g and (154)8

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.