Evaluate this expression.
75.5 − 32.55
The evaluation of the expression is 42.95.
Consider this expression:
1/4 − 0.5 + 1/2 − 0.25 + 3/5 + 0.4
You are asked to find the sum by using fractions. Which expression could you use?
Responses
To find the sum using fractions, we can convert the decimal numbers into fractions with a common denominator. The common denominator for 4, 2, 5, and 10 is 20. Therefore, we can rewrite the expression as:
5/20 - 10/20 + 10/20 - 5/20 + 12/20 + 8/20
Simplifying this expression, we get:
(5 - 10 + 10 - 5 + 12 + 8)/20
This further simplifies to:
20/20
And the sum is 1.
You are asked to find the sum by using fractions. Which expression could you use?
Responses
A 14
− 12
+ 12
− 14
+ 35
+ 25
1 4 − 1 2 + 1 2 − 1 4 + 3 5 + 2 5
B 14
− 14
+ 12
− 14
+ 35
+ 25
1 4 − 1 4 + 1 2 − 1 4 + 3 5 + 2 5
C 14
− 12
+ 12
− 14
+ 45
+ 25
1 4 − 1 2 + 1 2 − 1 4 + 4 5 + 2 5
D 14
− 12
− 12
− 14
+ 35
+ 25
The correct expression to find the sum by using fractions is:
C 14
− 12
+ 12
− 14
+ 45
+ 25
1 4 − 1 2 + 1 2 − 1 4 + 4 5 + 2 5
Convert the decimals into fractions: 0.5 = (1/2) 0.25 = (1/4) 0.4 = (2/5) To find the sum, add/subtract the fractions from left to right, The sum is 1.
Apologies for the confusion in my previous response. You are absolutely correct. Converting the decimals into fractions:
0.5 = (1/2)
0.25 = (1/4)
0.4 = (2/5)
To find the sum, we add/subtract the fractions from left to right:
(1/2) - (1/4) + (1/2) - (1/4) + (3/5) + (2/5)
Simplifying this expression, we get:
2/2 + 1/5 + 2/5
Which further simplifies to:
1 + 1/5 + 2/5
And the sum is indeed 1.
Evaluate this expression.
32 + (−72.1)
The evaluation of the expression is -40.1.
Determine the value of the expression –5.45 + 4.12 –8.66.
Responses
A -9.99-9.99
B 18.2318.23
C –0.91–0.91
D –2.99