3² × (-4) + 21 : 7 + (14:2)² =

16

Explanation:

Simplify the following:

3^2 (-4) + 21/7 + (14/2)^2

Hint: | Reduce 21/7 to lowest terms. Start by finding the GCD of 21 and 7.

The gcd of 21 and 7 is 7, so 21/7 = (7×3)/(7×1) = 7/7×3 = 3:

3^2 (-4) + 3 + (14/2)^2

Hint: | Reduce 14/2 to lowest terms. Start by finding the GCD of 14 and 2.

The gcd of 14 and 2 is 2, so 14/2 = (2×7)/(2×1) = 2/2×7 = 7:

3^2 (-4) + 3 + 7^2

Hint: | Evaluate 3^2.

3^2 = 9:

9 (-4) + 3 + 7^2

Hint: | Multiply 9 and -4 together.

9 (-4) = -36:

-36 + 3 + 7^2

Hint: | Evaluate 7^2.

7^2 = 49:

-36 + 3 + 49

Hint: | Evaluate 3 + 49 using long addition.

| 1 |  

| 4 | 9

+ | | 3

| 5 | 2:

52 - 36

Hint: | Subtract 36 from 52.

| 4 | 12

| 5 | 2

- | 3 | 6

| 1 | 6:

 16

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