How should you group the following expression to make it easiest to add? 18 − 9 4/9 + 7/9 − 8 (as in fractions)
To make the expression easiest to add, you should group it as follows:
(18 - 9) + (4/9 + 7/9) - 8
The subtraction operation is grouped together first, followed by the addition of the fractions. Finally, the subtraction of 8 is performed.
The answer is?
To calculate the expression, you perform the operations within each set of parentheses first, according to the order of operations.
(18 - 9) + (4/9 + 7/9) - 8 = 9 + (11/9) - 8
To add the fractions 4/9 and 7/9, you must have a common denominator, which is 9 in this case.
9 + (4/9 + 7/9) - 8 = 9 + (11/9) - 8
Next, you add the fractions:
9 + (11/9) - 8 = 9 + (11 + 9)/9 - 8
= 9 + 20/9 - 8
To add 9 as a fraction, you convert it to the same denominator as 20/9, which is 9:
9 + 20/9 - 8 = 9(9/9) + 20/9 - 8
Now, you can add the fractions with common denominators:
9(9/9) + 20/9 - 8 = 81/9 + 20/9 - 8
Add the fractions:
81/9 + 20/9 - 8 = (81 + 20)/9 - 8
Simplify the numerator:
(81 + 20)/9 - 8 = 101/9 - 8
Now, you need a common denominator with 8, which is 72 in this case:
(101/9) * (8/8) - 8 = 101/9 * 8/8 - 8
Multiply the numerators and the denominators:
(101 * 8)/(9 * 8) - 8 = 808/72 - 8
Simplify the fraction:
808/72 - 8 = 101/9 - 8
Now, you need a common denominator with 9, which is 72 in this case:
(101/9) * (8/8) - (8 * 9/9) = 101/9 * 8/8 - 72/9
Multiply the numerators and the denominators:
(101 * 8)/(9 * 8) - 72/9 = 808/72 - 72/9
Simplify the fractions:
808/72 - 72/9 = 101/9 - 72/9
Now, you can subtract the fractions with common denominators:
101/9 - 72/9 = (101 - 72)/9
Calculate the numerator:
(101 - 72)/9 = 29/9
Therefore, the answer is 29/9.
How should you group the following expression to make it easiest to add? 18 − 9 4/9 + 7/9 (as in fractions, choose one answer)
(8 − 18) + (4/9 + 7/9)
(18 − 8) + (−9 4/9 + 7/9)
(18 − 8 − 9)
(18 − 9 − 8) + (−4/9 + 7/9)
To make the expression easiest to add, you should group it as follows:
(18 − 9 − 8) + (-4/9 + 7/9)
The subtraction operations are grouped together first, followed by the addition of the fractions.
What should you do if a place value is missing a number? Choose one
Nothing.
Nothing.
Subtract without it.
Subtract without it.
Remove the last digit(s) in the number that has the additional place values.
Remove the last digit(s) in the number that has the additional place values.
Add a zero.
Add a zero.
Add a zero.
What is −18.1−5?
To calculate the expression -18.1 - 5, you simply subtract 5 from -18.1.
-18.1 - 5 = -23.1
Therefore, -18.1 - 5 equals -23.1.