ACT Math : How to find the number of integers between two other integers
Study concepts, example questions & explanations for ACT Math
All ACT Math Resources
Example Questions
Example Question #1 :How To Find The Number Of Integers Between Two Other Integers
How many irrational numbers are there between 3 and 7?
我nfinitely many
8
10
4
5
我nfinitely many
There is an infinite amount of irrational numbers between any two "real" (whole) numbers. 3 and 7 are both real numbers
Example Question #2 :How To Find The Number Of Integers Between Two Other Integers
3 candy bars and 4 bags of potato chips cost $7, and 3 candy bars and 2 bags of potato chips cost $5. What is the price of 1 bag of potato chips?
$.50
$.33
$2
$1
$1
我ncreasing 2 bags of potato chips increases the cost by $2. Therefore, they cost $1 per bag.
Example Question #1 :How To Find The Number Of Integers Between Two Other Integers
What is the average of all prime numbersin between7 and 23 (not including 7 or 23)?
A prime number is defined as any number that is only divisible by itself and 1 with no remainders. So for example, 7 and 23 are both prime numbers. Seven can only be divided by 7 and 1, any other number would give a fraction or decimal.
The best approach to this problem is to simply list each number starting from 7.
Seven itself is a prime number, but the question specifically says that 7 should not be included. Eight is divisible by 1, 2, 4, and 8, and therefore is not a prime number. Nine is divisible by 3 and so on. Quickly we see that the prime numbers in betwen 7 and 23 include:
Finally, the question asks you to find the average of these numbers:
Concepts such as prime numbers or other definitions should be readily called when taking the ACT with minimal effort.
Example Question #1 :How To Find The Number Of Integers Between Two Other Integers
How many prime numbers are between 20 and 50?
7
5
8
3
6
7
Prime numbers are numbers that cannot be divided evenly by any numbers besides itself and 1. The prime numbers between 20 and 50 are: 23, 29, 31, 37, 41, 43, 47, yielding an answer of 6.
Example Question #1 :How To Find The Number Of Integers Between Two Other Integers
How many integers are between
The integers are
So there are 8 integers total
Certified Tutor
Certified Tutor
All ACT Math Resources
