Questions from Survey of Mathematics


Q: Give an example to show that the stated case can occur.

Give an example to show that the stated case can occur. The sum of two irrational numbers may be a rational number.

See Answer

Q: A number in which each digit except 0 appears exactly three times

A number in which each digit except 0 appears exactly three times is divisible by 3. For example, 888,444,555 and 714,714,714 are both divisible by 3. Explain why this outcome must be true.

See Answer

Q: Write the phrase as a mathematical expression. 8, increased

Write the phrase as a mathematical expression. 8, increased by 5 times x

See Answer

Q: Evaluate each expression using the order of operations. /

Evaluate each expression using the order of operations.

See Answer

Q: Give an example to show that the stated case can occur.

Give an example to show that the stated case can occur. The product of two irrational numbers may be a rational number.

See Answer

Q: Show that 2n - 1 is a (Mersenne) prime for

Show that 2n - 1 is a (Mersenne) prime for n = 2, 3, 5, and 7 but composite for n = 11.

See Answer

Q: Write the phrase as a mathematical expression. The sum of

Write the phrase as a mathematical expression. The sum of 8 and t, divided by 2

See Answer

Q: Evaluate each expression using the order of operations. /

Evaluate each expression using the order of operations.

See Answer

Q: Without doing any calculations, determine whether (17 = 4.

Without doing any calculations, determine whether (17 = 4.123.

See Answer

Q: Determine whether the sequence is a Fibonacci type sequence (each term

Determine whether the sequence is a Fibonacci type sequence (each term is the sum of the two preceding terms). If it is, determine the next two terms of the sequence 3, 5, 8, 13, 21, 34, ……

See Answer