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PLEASE ILL DO ANYTHING I ALREADY OFFERED AS MUCH POINTS AS POSSIBLE

PLEASE ILL DO ANYTHING I ALREADY OFFERED AS MUCH POINTS AS POSSIBLE-example-1
User Ajmal
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1 Answer

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Answer:

A, B, D, E

Explanation:

Given expression:

  • (0.06) · (0.154)

When multiplying decimals, multiply as if there are no decimal points:


\implies 6 * 154 = 924

Count the number of digits after the decimal in each factor:

  • 0.06 → 2 digits
  • 0.154 → 3 digits

Therefore, there is a total of 5 digits.

Put the same number of total digits after the decimal point in the product:


\implies (0.06) \cdot (0.154)=0.00924

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Answer option A


\boxed{6 \cdot (1)/(100) \cdot 154 \cdot (1)/(1000)}

When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.

Therefore:

  • 6 ÷ 100 = 0.06
  • 154 ÷ 1000 = 0.154


\implies 6 \cdot (1)/(100) \cdot 154 \cdot (1)/(1000)=(0.06) \cdot (0.154)

Therefore, this is a valid answer option.

Answer option B


\boxed{6 \cdot 154 \cdot (1)/(100000)}

Multiply the numbers 6 and 154:


\implies 6 * 154 = 924

Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).


\implies 6 \cdot 154 \cdot (1)/(100000)=0.00924

Therefore, this is a valid answer option.

Answer option C


\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}

Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:


\implies 6 \cdot 154 = 924

Count the number of digits after the decimal in each factor:

  • 0.1 → 1 digit
  • 0.01 → 2 digits

Therefore, there is a total of 3 digits.

Put the same number of digits after the decimal point in the product:


\implies 0.924

Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.

Answer option D


\boxed{6 \cdot 154 \cdot (0.00001)}

Again, employing the technique of multiplying decimals.

As there are a total of 5 digits after the decimals:


\implies 6 \cdot 154 \cdot (0.00001)=0.00924

Therefore, this is a valid answer option.

Answer option E


\boxed{0.00924}

As we have already calculated, (0.06) · (0.154) = 0.00924.

Therefore, this is a valid answer option.

User Digger
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