−6.4+3.7 is equivalent to 3.7−6.4
Further explanationDecimal 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
Question :3.7−6.4 = - 2.7
Answer choices :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
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Keywords: decimal, decimal point, addition, equivalent to
The equivalent expression of [tex]3.7 - 6.4[/tex] is [tex]\boxed{ - 6.4 + 3.7}[/tex]. Option (c) is correct.
Further explanation:
Given:
The options are as follows,
A. [tex]- 17 + 2x[/tex]
B. [tex]- 2x + 17[/tex]
C. [tex]- 2x -17[/tex]
D. [tex]17 + 2x[/tex]
Explanation:
The associative property is defined as a grouping of multiplication, addition, subtraction and division.
[tex]\boxed{a + \left( {b + c} \right) = \left( {a + b} \right) + c}[/tex]
In commutative property we interchange the numbers or digits.
This property can be used for multiplication and addition. It cannot be used in division and subtraction.
Commutative property for addition is [tex]\boxed{x + y = y + x}[/tex]
The expression is [tex]3.7 - 6.4.[/tex]
[tex]A = 3.7 - 6.4[/tex]
By commutative property of addition the expression can also be expressed as follows,
[tex]\begin{aligned}A&= 3.7 - 6.4\\&= - 6.4 + 3.7\\\end{aligned}[/tex]
The equivalent expression of [tex]3.7 - 6.4[/tex] is [tex]\boxed{ - 6.4 + 3.7}[/tex]. Option (c) is correct.
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Number system
Keywords: expression, equivalent, division, equation, multiplication, exponents, parenthesis.
Give the coordinates of the point located halfway between (2,1) and (2,4)
The coordinates of the mid - point are - M(2, 2.5).
We have two coordinate points - A(2, 1) and B(2, 4)
We have to find the midpoint of this line AB.
What is Mid - Point Theorem?It states that a line with endpoint coordinates as - [x(1), y(1)] and [x(2), y(2)] has its mid - point at the coordinates -
x(m) = [tex]$\frac{x(1)+x(2)}{2}[/tex]
y(m) = [tex]$\frac{y(1) + y(2)}{2}[/tex]
According to question, we have -
First coordinate Point - A(2, 1)
Second coordinate Point - B(2, 4)
Using the Mid - Point formula, we get -
x(m) = [tex]$\frac{x(1)+x(2)}{2} = \frac{2+2}{2} =2[/tex]
y(m) = [tex]$\frac{1+ 4}{2}=2.5[/tex]
hence, the coordinates of the mid - point are - M(2, 2.5).
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Each week, Tina earns $x babysitting and receives $10 as her allowance. To find how much she will earn in total over 4 weeks, Tina calculates : x + 10 + x + 10 + x + 10 + x + 10 What is another way Tina can calculate how much she will earn in total over 4 weeks? Drag and drop the equivalent expression in the box.
4X+10 X+40 4(X+10) X+10
Here is to the point:
4 (X=10)
if angle 2 is a right angle, and measure of angle 4 is 60, prove measure of angle xyz is 150 degrees
1,200 dividend by 251.2 Rounded to the nearest cent
The original price of a ski jacket was $240. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off the sale price.
3x - 6 = 6 - 3x what is x
Answer:
x is 2
Step-by-step explanation:
putting in x
6-6=6-6
0=0 √
If you are facing north. Turn 90 degrees left. Turn 180 degrees right. Reverse direction. Turn 45 degrees left. Reverse direction. In which direction are you facing now
(-9.6)÷(-3 1/5) i suck at math please help
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Round 12.5829 to the nearest hundredth. Rounded number = ___
Identify a temperature colder than -7.2f. Write an inequality that relates the temperatures. Describe their positions on a horizontal number line.
A temperature colder than -7.2°F can be -8°F. The inequality representing this is -8 < -7.2. Drawing this on a number line shows -8 is to the left of -7.2, hence colder.
Explanation:A temperature that is colder than -7.2°F could be -8°F. The inequality that relates -8°F and -7.2°F is -8 < -7.2, because on a number line, numbers to the left are lesser than those to the right. Therefore, -8°F, being to the left/less than -7.2°F on the horizontal number line, is colder.
The Fahrenheit and Celsius temperature scales don't have absolute lowest temperatures like the Kelvin scale. So, temperatures like -10°F or -20°F (for example) are possible and would be colder than -7.2°F.
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8x(30+2)=(8x_____)+(8x2) what is the missing number
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A car is changing speed from 11 m/s to 26 m/s in a time interval of 3.0 s.
What is the acceleration of the car?
Answer Options with 4 options
A. 0.2 m/s,superscript,2,baseline,
B. 3.4 m/s,superscript,2,baseline,
C. 5.0 m/s,superscript,2,baseline,
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4\5 + 3 1\10 Enter the sum in the box as a mixed number in simplest form.
HELP ASAP with this question.
1. Choose the equation you can use to solve the following problem.
Each cupcake costs $4.00. How many cupcakes, x, are purchased if the total cost is $36.00?
(1 point)
2. Choose the equations you can use to solve the following problem.
Sam is 3 years younger than Marco. Marco is 15 years old. How old is Sam?
Let x represent Sam's age, in years.
(2 points)
3. The equation below represents how many hours, x, it will take to travel 210 miles at an average speed of 60 miles per hour.
How long will it take? 60x210
Final answer:
To solve the given problems, use linear equations: for cupcakes, 4x = 36; for Sam's age, x = 15 - 3; and for travel time, 210 = 60x.
Explanation:
1. To find how many cupcakes, x, can be purchased for $36.00 when each cupcake costs $4.00, we use the equation 4x = 36. This equation represents the cost of cupcakes multiplied by the number of cupcakes equals the total cost.
2. For determining Sam's age, given that Sam is 3 years younger than Marco, who is 15 years old, we represent Sam's age with x. The equation to calculate Sam's age would be x = 15 - 3.
3. The equation presented as 60x210 seems to be a mistake. To find out how many hours, x, it will take to travel 210 miles at an average speed of 60 miles per hour, the correct equation is 210 = 60x.
2/3x + 1/6 = -3/4 x + 1
Find the perimeter of a triangle with sides 11 inches, 5 inches, and 13 inches. Show your work.
What is 0.21212121.... as a fraction
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728,379 in expanded form
What is the y-intercept of the equation of the line that is perpendicular to the line y = x + 10 and passes through the point (15, –5)?
The equation of the line in slope-intercept form is y = x +
Write 24 7/100 as a decimal. I don't know how to do it.
1. x - 3 = 7
2. 8w = 48
3. 9 + y = 100
4. a/2 = 18
SHOW WORK PLZ
1. x-3=7 , x =7+3 = 10
2. 8w=48, w = 48/8 = 6
3. 9+ y =100, y=100-9 = 91
4.a/2 =18, a = 18*2 = 36
A social worker examines the level of aggression (measured on a 100-point scale) of four groups of individuals before they begin anger management classes. Using the weighted mean, determine the overall mean level of aggression for all four groups.
Group 1 82; 15
Group 2 87; 12
Group 3 93; 22
Group 4 79; 71
Least to greatest 2.3, 2 4/5, 2.6
the backpacking Club is having some posters printed the printer charges $180 plus 250 per poster how many posters can be printed for $1,000 please explain
To find out how many posters can be printed for $1,000, we need to set up an equation and solve for 'x'. The cost of printing 'x' posters is $180 plus $250 per poster. After solving the equation, we find that 3 posters can be printed for $1,000.
Explanation:To find out how many posters can be printed for $1,000, we need to set up an equation.
Let's say the number of posters is 'x'. The cost of printing 'x' posters is $180 + $250 * 'x'.
We want to find out when the cost equals $1,000, so we can set up the equation: 180 + 250 * 'x' = 1000.
To solve this equation, subtract 180 from both sides and then divide by 250. This will give us the value of 'x', which represents the number of posters that can be printed for $1,000.
Once you solve the equation, you will find that 'x' is equal to 3.2. However, since you cannot print a partial poster, we can conclude that 3 posters can be printed for $1,000.
When completely for a cube shaped container will hold 8000 cm³ of water. What is the length of an edge of the container