−6.4+3.7 is equivalent to 3.7−6.4
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 proper 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
"Equivalent to" mean having the same value.
In the decimal addition operation, we must pay attention to the place value
Addition between decimal numbers must be the same place value, for example between hundreds with hundreds, ten with ten and so on
Or if we use a vertical addition system, one under the other, pay attention to the decimal point, must be straight from top to bottom
In this addition operation we check the results of the addition of each decimal number operation
3.7−6.4 = - 2.7
a. 6.4 + 3.7 = 10.1
b. 6.4 - 3.7 = 2.7
c. -6.4 + 3.7 = -2.7
d. - 6.4 - 3.7 = -10.1
Answer choices that have the same result is option C
Or simply this is the commutative form of addition operations
a + b = b + a (a = -6.4, b=3.7)
-6.4+3.7 = 3.7 +(-6.4)
-6.4+3.7 = 3.7 - 6.4
Learn more
place value
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the place value: 12,354,897
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Round 141,999 to the nearest tenth, hundredth, ten, and hundred.
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Keywords: decimal, decimal point, addition, equivalent to
