Question

In the following exercises, divide. $$ 9 \div 0.045 $$

   In the following exercises, divide.
$$
9 \div 0.045
$$

Prealgebra

Lynn Marecek,… 1st Edition

Chapter 5, Problem 573

Instant Answer

Solved by Expert Elizabeth Xu

04/05/2020

Step 1

To do this, we move the decimal point two places to the right in 0.045 to get 4.5. We also need to do the same for the dividend, so we move the decimal point two places to the right in 9 to get 900. Show more…

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In the following exercises, divide. $$ 9 \div 0.045 $$

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Key Concepts

Division

Division is one of the basic arithmetic operations which determines how many times one number is contained within another. It involves splitting a quantity (the dividend) into equal parts determined by another quantity (the divisor), and is foundational in mathematics for understanding proportionality and ratios.

Decimal Division

Decimal division involves dividing numbers that have decimal points. The process often requires careful attention to place value, and may involve techniques such as converting the divisor to a whole number so that the operation is simplified by eliminating the decimal point from the divisor.

Scaling Technique in Division

The technique of scaling in division involves multiplying both the dividend and the divisor by the same power of ten to convert decimals into whole numbers. This method simplifies the division process and reduces errors by removing decimals, while keeping the ratio unchanged because multiplying by the same factor maintains equivalence.

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