Which of the following is the correct decimal placement for the product of 1.3 X 0.47?

Rationale

0.611 is the correct decimal placement for the product of 1.3 X 0.47.

When multiplying decimals, the decimal placement is determined by the total number of decimal places in the original numbers. Here, 1.3 has one decimal place and 0.47 has two decimal places, totalling three. However, the product of 13 and 47 (without considering decimal places) is 611, which has three digits. Thus, the decimal point should be placed such that it leaves two digits after it, making the product 0.611.

A (0.611) CORRECT

This is the correct answer. The product of 1.3 X 0.47, considering the total number of decimal places in the original numbers (1 + 2 = 3), should leave two digits after the decimal point, giving us 0.611.

B (6.11) YOUR ANSWER

This option incorrectly places the decimal point. Although the multiplication of the numbers without considering decimal places results in 611, the decimal placement must account for the three places in the original numbers, which this option does not.

C (0.00611) YOUR ANSWER

This option places too many digits after the decimal point. The number of decimal places in the result should be equal to the total number of decimal places in the original numbers (three in this case), but this option has five, which is incorrect.

D (0.0611) YOUR ANSWER

Similarly to option C, this option also incorrectly places the decimal point, leaving too many digits after it. The correct decimal placement should leave two digits after the decimal point, not three.

Conclusion

When multiplying decimals, the placement of the decimal point in the result is determined by the total number of decimal places in the original numbers. In this case, 1.3 and 0.47 have a total of three decimal places, so the product should have two digits after the decimal point, making 0.611 the correct answer. The other options place the decimal point incorrectly, either leaving too few or too many digits after it.

Which of the following is the correct decimal placement for the product of 1.3 X 0.47?

0.611 is the correct decimal placement for the product of 1.3 X 0.47.

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