I'm having trouble finding the properties in the examples below:
Evaluate each expression. Name the property used in each step.
1. 5(7x4-27)
2. 4+8(6-2x3)
3. 7+1/4(1+3)
4. 9+6[8-(24/3)]
5. 10[5/(8-3)-1]+3
6. 6[4+(6+2)1/8]
looks like the key to each one is the distributive property and the associative property
5(7*4-27) = 5(7*4) - 5(27) distributive
= 5*28 - 5*27 associative
= 5(28-27) distributive
= 5*1 = 5
Let's evaluate each expression and identify the property used in each step:
1. 5(7x4-27)
Step 1: 5(28-27) (Distributive property)
Step 2: 5(1) (Subtraction)
Step 3: 5 (Multiplication)
2. 4+8(6-2x3)
Step 1: 4+8(6-6) (Multiplication)
Step 2: 4+8(0) (Subtraction)
Step 3: 4+0 (Multiplication)
Step 4: 4 (Addition)
3. 7+1/4(1+3)
Step 1: 7+1/4(4) (Addition)
Step 2: 7+1 (Multiplication)
Step 3: 8 (Addition)
4. 9+6[8-(24/3)]
Step 1: 9+6[8-(8)] (Division)
Step 2: 9+6[0] (Subtraction)
Step 3: 9+0 (Multiplication)
Step 4: 9 (Addition)
5. 10[5/(8-3)-1]+3
Step 1: 10[5/5-1]+3 (Subtraction)
Step 2: 10[1-1]+3 (Division)
Step 3: 10[0]+3 (Subtraction)
Step 4: 0+3 (Multiplication)
Step 5: 3 (Addition)
6. 6[4+(6+2)1/8]
Step 1: 6[4+8(1/8)] (Parentheses)
Step 2: 6[4+1] (Multiplication)
Step 3: 6[5] (Addition)
Step 4: 30 (Multiplication)
I hope this helps! Let me know if you have any further questions.
To find the properties used in each step, let's first evaluate each expression step by step:
1. 5(7x4-27)
-> 5(28-27) [Perform the subtraction inside the parentheses]
-> 5(1) [Perform the multiplication]
-> 5 [Final answer]
The property used here is the Distributive Property.
2. 4+8(6-2x3)
-> 4+8(6-6) [Perform the multiplication inside the parentheses]
-> 4+8(0) [Perform the subtraction]
-> 4+0 [Perform the multiplication]
-> 4 [Final answer]
The properties used here are the Subtraction Property of Equality and the Zero Property of Multiplication.
3. 7+1/4(1+3)
-> 7+1/4(4) [Perform the addition inside the parentheses]
-> 7+1/4(4) [Perform the multiplication]
-> 7+1 [Perform the division]
-> 8 [Final answer]
The property used here is the Addition Property of Equality.
4. 9+6[8-(24/3)]
-> 9+6[8-8] [Perform the division inside the parentheses]
-> 9+6[0] [Perform the subtraction]
-> 9+0 [Perform the multiplication]
-> 9 [Final answer]
The properties used here are the Division Property of Equality and the Multiplication Property of Zero.
5. 10[5/(8-3)-1]+3
-> 10[5/5-1]+3 [Perform the subtraction inside the parentheses]
-> 10[1-1]+3 [Perform the division]
-> 10[0]+3 [Perform the subtraction]
-> 0+3 [Perform the multiplication]
-> 3 [Final answer]
The properties used here are the Division Property of Equality and the Addition Property of Equality.
6. 6[4+(6+2)1/8]
-> 6[4+8(1/8)] [Perform the addition inside the parentheses]
-> 6[4+1] [Perform the division]
-> 6[5] [Perform the addition]
-> 30 [Final answer]
The properties used here are the Addition Property of Equality and the Multiplication Property of Equality.
By following the above steps, you can evaluate each expression and identify the properties used in each step.