Evaluate. 17 + 330 • 20 ÷ ÷ 2 – 14

36

Step-by-step explanation:

Simplify the following:

17 + 330×20/10^2×1/2 - 14

20/10^2×1/2 = 20/(10^2×2):

17 + 330×20/(10^2×2) - 14

330×20/(10^2×2) = (330×20)/(10^2×2):

17 + (330×20)/(10^2×2) - 14

2 | 1 | 6 | 5

| 3 | 3 | 0

- | 2 | |  

| 1 | 3 |  

- | 1 | 2 |  

| | 1 | 0

| - | 1 | 0

| | | 0:

17 + (165×20)/10^2 - 14

| 1 | 0

× | 1 | 0

| 0 | 0

1 | 0 | 0

1 | 0 | 0:

17 + (165×20)/100 - 14

20/100 = 20/(20×5) = 1/5:

17 + 165/5 - 14

The gcd of 165 and 5 is 5, so 165/5 = (5×33)/(5×1) = 5/5×33 = 33:

17 + 33 - 14

| 1 |  

| 3 | 3

+ | 1 | 7

| 5 | 0:

50 - 14

| 4 | 10

| 5 | 0

- | 1 | 4

| 3 | 6:

 36

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