Divide. (22.4)/(1.05)

Name: Problem 44, Chapter 5: Prealgebra
Uploaded: 2020-07-30T18:40:47-08:00
Duration: 1 min 39 s
Channel: Karly Williams
Description: Divide. (22.4)/(1.05)

Step 1: First, we need to make the divisor a whole number. To do this, we can move the decimal p

Question

Divide. $$\frac{22.4}{1.05}$$

   Divide.
$$\frac{22.4}{1.05}$$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 5, Problem 44

Instant Answer

Solved by Expert Karly Williams

07/30/2020

Step 1

To do this, we can move the decimal point two places to the right, making 1.05 into 105. But we must also do the same to the dividend, so 22.4 becomes 2240. So, our new division problem is: $$\frac{2240}{105}$$ Show more…

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Divide. $$\frac{22.4}{1.05}$$

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Key Concepts

Scaling Decimals by Multiplying by Powers of 10

Scaling decimals means multiplying both the dividend and the divisor by the same power of 10 to eliminate the decimal points. This converts the problem into one involving whole numbers, making the arithmetic easier to manage while still preserving the value of the original expression.

Decimal Division

Decimal division involves dividing numbers that are expressed in decimal form. This requires careful handling of the decimal point, either by aligning decimals or by converting decimals to whole numbers so that the division process is simplified. An understanding of where to place the decimal point in the final answer is a key aspect of this concept.

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