When multiplying decimals, how do you know where to place the decimal point? Think about this as you do parts (a) through (d) below. a. Write two equa

SchachtN

SchachtN

Answered question

2021-05-08

When multiplying decimals, how do you know where to place the decimal point? Think about this as you do parts (a) through (d) below. a. Write two equations for multiplying 0.3 by 0.16. One equation should express the factors and product using decimals, and one using fractions. b. In part (a), you multiplied tenths by hundredths to get thousandths. Do you always get thousandths if you multiply tenths by hundredths? Why or why not? What do you get if you multiply tenths by tenths? Hundredths by hundredths? Use several examples to justify your answers. c. When a multiplication problem is written using decimals, there is a relationship between the number of decimal places in the parts (or factors) of the problem and the number of decimal places in the answer (or product). Describe this relationship. d. Describe a shortcut for locating the decimal point in the answer to a problem involving decimal multiplication.

Answer & Explanation

jlo2niT

jlo2niT

Skilled2021-05-09Added 96 answers

a.Equation 1 0.30.16 
Equation 2 31016100 
b.31016100=31610100=481000 
c. Multiply as usual, disregarding the decimal points.
316=48 
Put the decimal point in the response after that; it will have the same number of decimal places as the sum of the two original values.
In other words, multiply the two values by the number of digits after the decimal point in each; the result should have the same number of digits after the decimal point.
0.3 has 1 decimal places, 0.16 has 2 decimal places, so the answer has 3 decimal places: 0.048

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