Use distributive property to write each expression as an equivalent expression then evaluate each one
1.3(4+5)
2.(2+8)6
3.4(9-6)
4.8(6-3)
5.5(200-50)
6.20(3+6)
7.(20-5)8
8.50(8+2)
9.15(1,000-200)
10.3(2,000+400)
11.12(1,000+10)
12.7(1,000-50)
Any help would be apriceated
Do them all the same way. For example:
2.(2+8)6 = 2x6 + 8x6 = 12 + 48 = 60
Of course, you could also write
(2+8)6 = 10 x 6 = 60
but that is not the way they want you to evaluate it
Thanks
1. Using the distributive property, we can write 1.3(4+5) as 1.3*4 + 1.3*5.
Evaluating each expression:
1.3*4 = 5.2
1.3*5 = 6.5
2. Using the distributive property, we can write (2+8)6 as 2*6 + 8*6.
Evaluating each expression:
2*6 = 12
8*6 = 48
3. Using the distributive property, we can write 4(9-6) as 4*9 - 4*6.
Evaluating each expression:
4*9 = 36
4*6 = 24
4. Using the distributive property, we can write 8(6-3) as 8*6 - 8*3.
Evaluating each expression:
8*6 = 48
8*3 = 24
5. Using the distributive property, we can write 5(200-50) as 5*200 - 5*50.
Evaluating each expression:
5*200 = 1000
5*50 = 250
6. Using the distributive property, we can write 20(3+6) as 20*3 + 20*6.
Evaluating each expression:
20*3 = 60
20*6 = 120
7. Using the distributive property, we can write (20-5)8 as 20*8 - 5*8.
Evaluating each expression:
20*8 = 160
5*8 = 40
8. Using the distributive property, we can write 50(8+2) as 50*8 + 50*2.
Evaluating each expression:
50*8 = 400
50*2 = 100
9. Using the distributive property, we can write 15(1,000-200) as 15*1,000 - 15*200.
Evaluating each expression:
15*1,000 = 15,000
15*200 = 3,000
10. Using the distributive property, we can write 3(2,000+400) as 3*2,000 + 3*400.
Evaluating each expression:
3*2,000 = 6,000
3*400 = 1,200
11. Using the distributive property, we can write 12(1,000+10) as 12*1,000 + 12*10.
Evaluating each expression:
12*1,000 = 12,000
12*10 = 120
12. Using the distributive property, we can write 7(1,000-50) as 7*1,000 - 7*50.
Evaluating each expression:
7*1,000 = 7,000
7*50 = 350
Sure! Let's go through each expression one by one and apply the distributive property to simplify them.
1. 3(4+5)
To distribute 3 to the terms inside the parentheses, multiply 3 with each term: 3 * 4 = 12 and 3 * 5 = 15. Now we have: 12 + 15. Evaluating the sum, we get: 12 + 15 = 27.
2. (2+8)6
Similarly, distribute 6 to the terms inside the parentheses: 6 * 2 = 12 and 6 * 8 = 48. Now we have: 12 + 48. Evaluating the sum, we get: 12 + 48 = 60.
3. 4(9-6)
Distribute 4 to the terms inside the parentheses: 4 * 9 = 36 and 4 * -6 = -24. Now we have: 36 - 24. Evaluating the difference, we get: 36 - 24 = 12.
4. 8(6-3)
Again, distribute 8 to the terms inside the parentheses: 8 * 6 = 48 and 8 * -3 = -24. Now we have: 48 - 24. Evaluating the difference, we get: 48 - 24 = 24.
5. 5(200-50)
To distribute 5 to the terms inside the parentheses: 5 * 200 = 1,000 and 5 * -50 = -250. Now we have: 1,000 - 250. Evaluating the difference, we get: 1,000 - 250 = 750.
6. 20(3+6)
Distribute 20 to the terms inside the parentheses: 20 * 3 = 60 and 20 * 6 = 120. Now we have: 60 + 120. Evaluating the sum, we get: 60 + 120 = 180.
7. (20-5)8
Distribute 8 to the terms inside the parentheses: 8 * 20 = 160 and 8 * -5 = -40. Now we have: 160 - 40. Evaluating the difference, we get: 160 - 40 = 120.
8. 50(8+2)
Distribute 50 to the terms inside the parentheses: 50 * 8 = 400 and 50 * 2 = 100. Now we have: 400 + 100. Evaluating the sum, we get: 400 + 100 = 500.
9. 15(1,000-200)
To distribute 15 to the terms inside the parentheses: 15 * 1,000 = 15,000 and 15 * -200 = -3,000. Now we have: 15,000 - 3,000. Evaluating the difference, we get: 15,000 - 3,000 = 12,000.
10. 3(2,000+400)
Distribute 3 to the terms inside the parentheses: 3 * 2,000 = 6,000 and 3 * 400 = 1,200. Now we have: 6,000 + 1,200. Evaluating the sum, we get: 6,000 + 1,200 = 7,200.
11. 12(1,000+10)
Distribute 12 to the terms inside the parentheses: 12 * 1,000 = 12,000 and 12 * 10 = 120. Now we have: 12,000 + 120. Evaluating the sum, we get: 12,000 + 120 = 12,120.
12. 7(1,000-50)
Distribute 7 to the terms inside the parentheses: 7 * 1,000 = 7,000 and 7 * -50 = -350. Now we have: 7,000 - 350. Evaluating the difference, we get: 7,000 - 350 = 6,650.
Now you have simplified each expression using the distributive property and evaluated the results!