What is 12815 − 7 + 715 + 15? Simplify your answer.(1 point)
Responses
20 15/15
21
35
41 15/15
The simplified answer is 12815.
What is 12 8/15 − 7 + 7/15 + 15? Simplify your answer.(1 point)
Responses
20 15/15
21
35
41 15/15
To simplify the expression, we first convert the mixed number 12 8/15 to an improper fraction:
12 8/15 = (12 * 15 + 8)/15 = 188/15
Next, we add all the fractions together:
188/15 - 7 + 7/15 + 15
To add the fractions, we need a common denominator. We can use 15 as the common denominator for all fractions:
(188 - 7*15 + 7 + 15*15)/15
Simplifying the numerator:
(188 - 105 + 7 + 225)/15 = 315/15
Finally, we simplify the fraction 315/15:
315/15 = 21
So, the simplified answer is 21.
How should you group the following expression to make it easiest to add? 18 − 9 4/9 + 7/9 − 8(1 point)
Responses
(18 − 9 − 8) + (−4/9 + 7/9)
(18 − 8) + (−9 4/9 + 7/9)
(18 − 8 − 9)
(8 − 18) + (4/9 + 7/9)
To make it easiest to add the expression 18 − 9 4/9 + 7/9 − 8, you should group it in a way that allows you to simplify each part separately.
Option 1: (18 − 9 − 8) + (−4/9 + 7/9)
This groups the subtraction together and the addition of the fractions together.
Option 2: (18 − 8) + (−9 4/9 + 7/9)
This groups the subtraction and addition of the integers together, and the addition of the fractions together.
Option 3: (18 − 8 − 9)
This groups all the subtraction together.
Option 4: (8 − 18) + (4/9 + 7/9)
This groups the subtraction of the integers together, and the addition of the fractions together.
So, the correct answer is option 1: (18 − 9 − 8) + (−4/9 + 7/9)
What should you do if a place value is missing a number?(1 point)
Responses
Remove the last digit(s) in the number that has the additional place values,
Nothing.
Subtract without it.
Add a zero.
To account for a missing number in a place value, you should add a zero.
What is −18.1−5? (1 point)
Responses
23.1
13.1
−23.1
−13.1
The correct answer is -23.1.
What is −189.987−30.87? (1 point)
Responses
−159.117
220.857
−220.857
159.117