Question

How is multiplying 0.3 by 10 like multiplying 0.3 by 0.1? How is it different?

Answer 1

Answer:

Multiplying decimals is the same as multiplying whole numbers except for the placement of the decimal point in the answer. When you multiply decimals, the decimal point is placed in the product so that the number of decimal places in the product is the sum of the decimal places in the factors.

Answer 2

Final Answer:

The multiplication of 0.3 by 10 and the multiplication of 0.3 by 0.1 are alike with respect to the mathematical operation of multiplication and their multipliers (0.3, 0.3) but are different with respect to the multiplicands (10, 0.1) in them and their products (3, 0.03).

Given:

The multiplication of 0.3 by 10 and the multiplication of 0.3 by 0.1 are stated.

To Find:

The similarity and the dissimilarity between the multiplication of 0.3 by 10 and the multiplication of 0.3 by 0.1 are to be found.

Explanation:

The basic concept of multiplication is sufficient in figuring out the solution to this problem.

• The mathematical operation of multiplication involves a least a term to be multiplied by another term.

• The term, usually placed first, by which the other term is multiplied is called the multiplier.
• The term that is to be multiplied by the first term is called the multiplicand, and is usually, placed second.
• The resultant of the mathematical operation of multiplication is called the product.

Step 1 of 2

As per the given statement in the problem, deduce the following.

• In the multiplication of 0.3 by 10, the multiplier and the multiplicand are 0.3 and 10 respectively.
• In the multiplication of 0.3 by 0.1, the multiplier and the multiplicand are 0.3 and 0.1 respectively.

Step 2 of 2

Using the information in the given problem, derive the following.

• The multiplication of 0.3 by 10 yields the product $0.3\times 10=3$.
• The multiplication of 0.3 by 0.1 yields the product $0.3\times 0.10=0.03$.

Therefore, the required correct answer is the similar multiplication operation and the multipliers (0.3, 0.3); and the dissimilar multiplicands (10, 0.1) and the products (3, 0.03).

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