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Ex: 52.73 x 384.12

Round to 50 x 400 = 20,000

so when you do the actual math you know that there are 5 places to the left of the decimal.

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Q: How can estimating the product help you place the decimal point?
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How does estimating help us place the decimal point in the quotient?

Estimating will give an indication of the order of magnitude of the answer. The decimal point determines the order of magnitude.


How can estimating products help you to place a decimal correctly?

By estimating the product it gives an indication of how big the final answer should be; knowing this, the decimal point can be put in to give an answer of the correct size. For example if the product estimate is 125 and the actual answer (without the decimal point) is 136728, then the decimal point needs to be inserted to make the answer about 125; the place is therefore after the 136, making the answer 136.728 (= 5.4 x 25.32 ≈ 5 x 25 = 125)


How do I place the decimal point in the product of two decimals?

If the two decimal numbers have x and y digits after the decimal points, then the product has (x + y) digits after the decimal point.


How can estimating quotients help you place the decimal correctly?

Estimating quotients gives an indication of the order of magnitude of the answer. That is, whether the answer is in units, or tens, or hundreds, thousands and so forth. Basic understanding of the placement of the decimal point should then be a trivial exercise.


When multiplying two factors that each have 1 decimal place place the decimal point in the product places to the left?

two.


When multiplying two factors that each have one decimal place place the decimal point in the product how many places to the left?

Two places.


How does estimation help you place the decimal point in a product correctly?

Estimating help determine the order of magnitude of the answer. It is, therefore, a simple matter to place the decimal point is such a way that the order of magnitude of the calculated answer matches that of the estimate.


How can you multiply a decimal times a whole number?

-- Ignore the decimal point; just multiply the two whole numbers. -- After the multiplication is done, put the decimal point back into the product. Put it in the right place so that the product has as many digits after the point as the original decimal had. If there aren't enough digits in the product to do that, add some zeros to the left end of it.


Why is it not necessary to line up the decimal point when multiplying two numbers?

Because the number of digits after the decimal place in a product does not require that.


What are two methods for determining the placement of the decimal point in the product?

When you multiply decimals, the decimal point is placed in the product.


What is the second decimal place to the right of the decimal point?

The second decimal place to the right of the decimal point is called the hundredths place


When multiplying decimals how do you determine where to place the decimal in the answer?

If the two multiplicands have X and Y digits after the decimal place then their product (before removing any trailing 0s) has (X+Y) digits after the decimal point.