Question

Fill in the blanks.
pls tell the answers​

Answer 1

Answer:

There are 10 perfect cubes between 1 and 1000.

The ones digit in the cube of 43 will be 7.

The prime factorization of the cube root of 5832 is 18.

The cube root of 0.5 is 0.125.

The ones digit in the cube root of 13824 is 4.

Step-by-step Explanation:

Answer 1:

1 × 1 × 1 = 1

2 × 2 × 2 = 8

3 × 3 × 3 = 27

4 × 4 × 4 = 64

5 × 5 × 5 = 125

6 × 6 × 6 = 216

7 × 7 × 7 = 343

8 × 8 × 8 = 512

9 × 9 × 9 = 729

10 × 10 × 10 = 1000

Answer 2:

43 × 43 × 43 = 1849 × 43 = 79507.

or

We know that, 3³ = 27 so any number's cube with 3 in unit's place will result in a 7 in unit's place.

Answer 3:

∛5832 = ∛(2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3) = 2 × 3 × 3 = 18.

Answer 4:

0.5 × 0.5 × 0.5 = 0.25 × 0.5 = 0.125.

Answer 5:

∛13824 = ∛(2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3) = 2 x 2 x 2 x 3 = 24.

or

We know, 4³ = 64

So, cube root with 4 in ones place will result to a 4.

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