Mathematics, 20.08.2019 10:00, briseno138

If the product of 485 x 35 is 16,975, what is the product of 485 x 3.5? how do you know?

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answered: marshunsanders

$.\ \ \ \ \ \ 485 \cdot 35 =16,975\\\\\ \ \ \Rightarrow\ \ \ 485 \cdot 3.5 = 485 \cdot 35 :10=16,975:10=1,697.5$

answered: ridgewoodschool88

The product of 485 X 3.5 = $\large{\boxed{\bold{1,697.5}}}$

Further explanation

Decimal numbers are numbers in which there are commas or decimal points.

The value of each number in decimal numbers is based on a comparison of the number 10

In a decimal system, the numbers have the following consecutive values (the place value of the digits in a number): hundred thousands, ten thousands, one thousands, hundreds, tens, ones, decimal points, tenths, hundredths, thousandths, ten thousandths , hundred thousandths

Between ones and tenth values separated by commas (decimal points)

Decimal numbers can also be expressed as ordinary or mixed fractions

the position of each digit in decimal numbers is important.

Because the decimal number is based on the number 10, As we move left, each position is 10 times bigger, and As we move right, each position is 10 times smaller

On the left of the decimal point is a whole number

In the arithmetic operation of the decimal number multiplication, we can do it first as a multiplication between ordinary numbers without the comma (decimal point)

After we get the multiplication results, we count the number of decimal places of the number multiplied

example:

0.2 x 1.55

1. we multiply as ordinary numbers

2 x 155 = 310

2. the answer has as many decimal places as the two original numbers combined

0.2 = one desimals

1.55 = two decimals

total decimals = 3

The comma (decimal point) of the number 310 we move from right to left by 3 (according to the total decimal of the 2 numbers multiplied above), becomes

$0\boxed{.}\leftarrow3\leftarrow1\leftarrow0=\boxed{0.310}$

At 485 x 35 = 16,975, this is multiplication of ordinary numbers, while 485 x 3.5 is the decimal number multiplication (3.5 = three and 5 tenths or three point five)

Because the decimal value 3.5 is one ,then: the result of multiplying ordinary numbers (16,975) we move the comma 1 digit from the right to the left :

$16,975--1,697\leftarrow\boxed{.}5---1,697.5$