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What is the lowest common multiple (LCM) of 8 and 6? Order common fraction below in ascending order. The fractions are 3/1000, 1/100, 3/100, 7/1000.

Mathematics

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Answer

D

Step-by-step solution

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Here are the solutions to the questions:

Part 1.1· 2 steps

What is the lowest common multiple (LCM) of 8 and 6?

  1. List the multiples of each number.

    Multiples of 8: 8,16,24,32,…8, 16, \mathbf{24}, 32, \dots
    Multiples of 6: 6,12,18,24,30,…6, 12, 18, \mathbf{24}, 30, \dots

  2. Identify the smallest number that appears in both lists.

    The lowest common multiple of 8 and 6 is 24.

    The correct option is D.

    D) 24\boxed{\text{D) } 24}

Part 1.2· 3 steps

Order common fraction below in ascending order.

The fractions are 31000\frac{3}{1000}, 1100\frac{1}{100}, 3100\frac{3}{100}, 71000\frac{7}{1000}.

  1. Convert all fractions to have a common denominator, which is 1000.

    31000\frac{3}{1000} 1100=1×10100×10=101000\frac{1}{100} = \frac{1 \times 10}{100 \times 10} = \frac{10}{1000} 3100=3×10100×10=301000\frac{3}{100} = \frac{3 \times 10}{100 \times 10} = \frac{30}{1000} 71000\frac{7}{1000}

  2. Compare the numerators to order the fractions in ascending order.

    The numerators are 3, 10, 30, 7.
    In ascending order, they are 3, 7, 10, 30.

  3. Write the fractions in ascending order using their original forms.

    31000,71000,101000(which is 1100),301000(which is 3100)\frac{3}{1000}, \frac{7}{1000}, \frac{10}{1000} \left(\text{which is } \frac{1}{100}\right), \frac{30}{1000} \left(\text{which is } \frac{3}{100}\right)

    So the order is 31000,71000,1100,3100\frac{3}{1000}, \frac{7}{1000}, \frac{1}{100}, \frac{3}{100}.

    The correct option is C.

    C) 31000,71000,1100,3100\boxed{\text{C) } \frac{3}{1000}, \frac{7}{1000}, \frac{1}{100}, \frac{3}{100}}

Part 1.3· 2 steps

Which decimal fraction is equivalent to 35\frac{3}{5}?

  1. Divide the numerator by the denominator.

    35=3÷5\frac{3}{5} = 3 \div 5

  2. Perform the division.

    3÷5=0.63 \div 5 = 0.6

    The correct option is B.

    B) 0,6\boxed{\text{B) } 0,6}

Part 1.4· 2 steps

Which number below is a square number?

  1. Recall the definition of a square number.

    A square number is the result of multiplying an integer by itself.

  2. Check each option to see if it is a perfect square.

    A) 33: Not a perfect square (52=255^2 = 25, 62=366^2 = 36)
    B) 39: Not a perfect square
    C) 37: Not a perfect square
    D) 36: Is a perfect square, as 6×6=366 \times 6 = 36.

    The correct option is D.

    D) 36\boxed{\text{D) } 36}
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