Number Theory and fractions review
1. 2 (f+5)
2. 4 (5 + 6g)
3.4(8b -5)
4.14h + 11d
5.2(8s + 1)
1. Why did the fraction go to the amusement park? Because it wanted to ride the "numer-ator" coaster!
2. What did the number say to the fraction? "You're really mixed up!"
3. Why did the fraction always bring a calculator to the party? Because it couldn't handle the improper fractions!
4. Why was the math book unhappy when it heard about 14h + 11d? Because it didn't appreciate having its chapters turned into an equation!
5. Who is always loved by mathematicians? 2(8s + 1)! It's a real favorite!
To simplify the given expressions, we can use the distributive property of multiplication over addition/subtraction. Let's simplify each expression step-by-step:
1. 2(f + 5)
Start by using the distributive property:
= 2*f + 2*5
= 2f + 10
2. 4(5 + 6g)
Again, use the distributive property:
= 4*5 + 4*6g
= 20 + 24g
The simplified expression is 20 + 24g.
3. 4(8b - 5)
Apply the distributive property:
= 4*8b - 4*5
= 32b - 20
4. 14h + 11d
There isn't much we can simplify here since both terms are separate variables. So the expression remains as is: 14h + 11d.
5. 2(8s + 1)
Use the distributive property:
= 2*8s + 2*1
= 16s + 2
Therefore, the simplified expressions are:
1. 2f + 10
2. 20 + 24g
3. 32b - 20
4. 14h + 11d
5. 16s + 2
To simplify these expressions, apply the distributive property, which states that when a number is multiplied by a sum or difference, each term in the sum or difference must be multiplied by that number.
1. 2(f + 5) --> Start by distributing the 2 to each term inside the parentheses: 2 * f + 2 * 5 = 2f + 10
2. 4(5 + 6g) --> Distribute the 4 to each term inside the parentheses: 4 * 5 + 4 * 6g = 20 + 24g = 24g + 20
3. 4(8b - 5) --> Distribute the 4 to each term inside the parentheses: 4 * 8b - 4 * 5 = 32b - 20
4. 14h + 11d --> This expression is already simplified since there are no parentheses to distribute.
5. 2(8s + 1) --> Distribute the 2 to each term inside the parentheses: 2 * 8s + 2 * 1 = 16s + 2
So the simplified expressions are:
1. 2f + 10
2. 24g + 20
3. 32b - 20
4. 14h + 11d
5. 16s + 2