Use properties of rational numbers to simplify the expression. 47 - 4/5 - 1/11 - 16
To simplify the expression 47 - 4/5 - 1/11 - 16, we can combine all the whole numbers together and then combine the fractions together.
47 - 16 = 31
Next, we need to find a common denominator for 4/5 and 1/11. The least common multiple of 5 and 11 is 55.
Multiply the numerator and denominator of 4/5 by 11:
(4/5) * (11/11) = 44/55
Multiply the numerator and denominator of 1/11 by 5:
(1/11) * (5/5) = 5/55
Now we can subtract the fractions:
44/55 - 5/55 = 39/55
Putting all the simplified terms together, the expression simplifies to:
31 - 39/55
Evaluate the following expression.
-0.3 - -0.6 + 0.5 + -0.5
To evaluate the expression -0.3 - (-0.6) + 0.5 + (-0.5), start by simplifying the double negative:
-0.3 - (-0.6) = -0.3 + 0.6
Next, add all the terms:
-0.3 + 0.6 + 0.5 + (-0.5) = (0.6 - 0.3) + 0.5 + (-0.5)
Now simplify the subtraction and addition:
(0.6 - 0.3) + 0.5 + (-0.5) = 0.3 + 0.5 + (-0.5) = 0.8 + (-0.5)
Finally, find the sum of the last two terms:
0.8 + (-0.5) = 0.3
Therefore, the expression evaluates to 0.3.
Indicate which property is illustrated in Step 2.
Step 1 8 + (6 + 12) + 0 = 8 + (12 + 6) + 0
Step 2 = (8 + 12) + (6 + 0)
Step 3 = (8 + 12) + 6
Step 4 = 20 + 6(2 points)
The property illustrated in Step 2 is the associative property of addition. This property states that changing the grouping of numbers being added does not change their sum.
Indicate which property is illustrated in Step 2.
Step 1 8 + (6 + 12) + 0 = 8 + (12 + 6) + 0
Step 2 = (8 + 12) + (6 + 0)
Step 3 = (8 + 12) + 6
Step 4 = 20 + 6(2 points)
is it distributive property
distributive property
commutative property of addition
commutative property of addition
associative property of multiplication
associative property of multiplication
associative property of addition
associative property of addition
The property illustrated in Step 2 is the associative property of addition.
Select the correct answer from each drop-down menu.
Raul started to evaluate this expression.
Continue evaluating the expression and complete the statements.
Raul used the
property of addition in step 1.
The solution to the expression is
.
(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Raul used the Response area, property of addition in step 1.
The solution to the expression is Response area
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Raul used the associative property of addition in step 1.
The solution to the expression is Response area.
To simplify the expression 47 - 4/5 - 1/11 - 16, follow these steps:
Step 1: Find a common denominator for the fractions.
The common denominator for 5 and 11 is their product, which is 55.
Step 2: Convert the fractions to have the same denominator.
To modify 4/5, multiply its numerator (4) and denominator (5) by 11 to get 44/55.
To modify 1/11, multiply its numerator (1) and denominator (11) by 5 to get 5/55.
The expression becomes: 47 - 44/55 - 5/55 - 16.
Step 3: Combine the whole numbers.
47 and -16 can be added directly: 47 - 16 = 31.
Step 4: Combine the fractions.
For 44/55 - 5/55, subtract the numerators while keeping the denominator the same: (44 - 5)/55 = 39/55.
The expression now becomes: 31 - 39/55.
The final simplified expression is 31 - 39/55.