Seventh grade math covers wide range of topics mostly the basic math which are very important for the higher grade. Number system which include the topics of prime number, prime factorizations multiplicative rules and different divisibility rules. Math also includes finding the least common factor LCM and greatest common multiple GCF. Decimal numbers, integers, fractions and different mathematical operations that can be applied to solve these numbers are covered. Ratio and proportion is one of the other important topics in seventh grade math. The basics of higher level math topics are initiated such as number sequences, linear equalities and inequalities, co-ordinate geometry and statistics.
Example 1: Find the prime factors of the number 28?
Solution: Given is a number 28.
To find its prime factors we divide the given number with the smallest prime number first.
28 ÷ 2 = 14; so, 28 = 14 * 2
Now 14 can be further divided by the prime number 2.
So here we have 14 ÷ 2 = 7. 28 = 2 * 2 * 7.
The number 7 itself is a prime number.
Hence the number 28 = 2 * 2 * 7.
Example 2: Find the x in the proportion x: 4 = 3: 1.
Solution: Here the given proportion is x : 4 = 3 : 1.
It can be expressed as a fraction in the form.
This gives, x / 4 = 3 / 1
Now multiply both sides of the equation by 4.
x = 12/1 = 12.
Hence the value of x for the given proportion is 12.