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9.

Challenge yourself
10. Calculate the answers to these problems:
10.1 (-4)2 + (-1)³
10.3 -27-(-2)²
10.5 (1)-(³
10.7 √0,04+ (0,5)²
10.9 0,027+ (0,2)3
088
10.2 -62 33
10.4 ()²+(-1)³
10.6 (0,1)2 + (0,1)3
10.8 √0,0144 - (- 0,2)²

User Humpton
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1 Answer

3 votes

Answer:

Below

Step-by-step explanation:

Answer 10.1: 15

Step-by-step explanation:

(-4)^2 is 16 and (-1)^3 is -1, so (-4)^2 + (-1)^3 = 16 - 1 = 15.

Answer 10.3: -23

Step-by-step explanation:

(-2)^2 is 4 and -27 minus 4 is -23.

Answer 10.5: None

Step-by-step explanation:

The expression is incomplete as there is no number or operation after the "^3".

Answer 10.7: 0.7

Step-by-step explanation:

√0.04 is 0.2 and (0.5)^2 is 0.25, so 0.2 + 0.25 = 0.45. The square root of 0.45 is approximately 0.671.

Answer 10.9: 0.02788

Step-by-step explanation:

(0.2)^3 is 0.008 and 0.027 plus 0.008 is 0.035. Raising 0.035 to the power of 1/3 gives approximately 0.315. Therefore, the final answer is approximately 0.02788.

Answer 10.2: -2018

Step-by-step explanation:

Using the order of operations, we start with 62 divided by 3 which is approximately 20.67, then multiply that by -33 to get approximately -682.44.

Answer 10.4: -2

Step-by-step explanation:

Empty brackets imply multiplication. Therefore, ()^2 is 0, and (-1)^3 is -1. Thus, 0 - 1 = -1.

Answer 10.6: 0.11

Step-by-step explanation:

(0.1)^2 is 0.01 and (0.1)^3 is 0.001, so 0.01 + 0.001 = 0.011.

Answer 10.8: 0.38

Step-by-step explanation:

0.0144 + 0.04 = 0.0544, and the square root of 0.0544 is approximately 0.2336. Subtracting (-0.2)^2 (which is 0.04) from 0.0544 gives 0.0144. Taking the square root of 0.0144 gives approximately 0.12. Finally, 0.2336 minus 0.12 is approximately 0.38.

User Lewis Cirne
by
8.0k points

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