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Chapter 1: Problem 3

Determine two prime numbers between 50 and 60 .

Short Answer

Expert verified
Answer: The two prime numbers between 50 and 60 are 53 and 59.

Step by step solution

01

Start with the first number in the range

Begin by checking the first number in the given range, which is 50.
02

Test for divisibility

Check if 50 has divisors other than 1 and itself (50). 50 has more divisors, such as 2, 5, 10, and 25, so 50 is not a prime number.
03

Move on to the next number

Continue by checking the next number in the range, which is 51.
04

Test for divisibility

Check if 51 has divisors other than 1 and itself (51). 51 has divisors 3 and 17, so 51 is not a prime number.
05

Repeat the process

Continue checking each number in the range (52, 53, 54, 55, 56, 57, 58, and 59).
06

Identify prime numbers

After testing all the numbers in the range, we find that 53 and 59 are the only prime numbers between 50 and 60. They have no divisors other than 1 and themselves.

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Most popular questions from this chapter

You purchase sixteen 24 -pack hot dog rolls this week. a. Estimate the total number of hot dog rolls. b. Determine the actual number of hot dog rolls. c. Is the estimated total higher or lower than the actual total?
Determine the sum. Do the addition in the parentheses first. a. \(34+(15+71)\) b. \((34+15)+71\) c. Are the sums in parts a and b the same? d. What property of addition is demonstrated?
Determine the sum of 67 and 75 . a. \(67+75\) b. \(75+67\) c. Are the sums in parts a and b the same? d. What property of addition is demonstrated?
Evaluate each of the following arithmetic expressions by performing the operations in the appropriate order. Check your answers with a calculator. a. \(37-2 \cdot(18-2 \cdot 5)+1^{2}\) b. \(3^{5}+2 \cdot 10^{2}\) c. \(243 /\left(36-3^{3}\right)\) d. \((75-2 \cdot 15) / 9\) e. \(7 \cdot 2^{3}-9 \cdot 2+5\) f. \(2^{5} \cdot 5^{2}\) g. \(2^{3} \cdot 2^{5}\) h. \(5^{3}+2^{6}\) i. \(1350 \div 75 \cdot 5-15 \cdot 2\) j. \(\left(3^{2}-4\right)^{2}\)
Evaluate each expression. Check your answers with a calculator. a. \(20(100-2)\) b. \(20 \cdot 100-2\) c. \(20 \cdot 100-20 \cdot 2\) d. \(100-20 \cdot 2\) e. Which two of the preceding arithmetic expressions have the same answer? f. State the property that produces the same answer for that pair of expressions.
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