Use computation to determine which of the following statements is true.(1 point) Responses 136⋅47>136 Start Fraction 13 over 6 End Fraction times Start Fraction 4 over 7 End Fraction greater than Start Fraction 13 over 6 End Fraction 110⋅52<110 Start Fraction 1 over 10 End Fraction times Start Fraction 5 over 2 End Fraction less than Start Fraction 1 over 10 End Fraction 1113⋅18<1113 Start Fraction 11 over 13 End Fraction times Start Fraction 1 over 8 End Fraction less than Start Fraction 11 over 13 End Fraction 47⋅103<47
To determine which statement is true, we can perform the calculations and compare the results.
1. 136⋅47 > (13/6) × (4/7)
Using a calculator, we find that the left side equals 6392 and the right side equals 8/21.
6392 > 8/21 is true.
2. 110⋅52 < (1/10) × (5/2)
The left side equals 5720 and the right side equals 1/4.
5720 < 1/4 is false.
3. 1113⋅18 < (11/13) × (1/8)
The left side equals 20034 and the right side equals 11/104.
20034 < 11/104 is false.
4. 47⋅103 < 47
The left side equals 4841 and the right side equals 47.
4841 < 47 is false.
Based on the calculations, the true statement is: 136⋅47 > (13/6) × (4/7).
Using computation, which of the following statements is true?(1 point) Responses 529⋅78>529 5 Start Fraction 2 over 9 End Fraction times Start Fraction 7 over 8 End Fraction greater than 5 Start Fraction 2 over 9 End Fraction 412⋅54<412 4 Start Fraction 1 over 2 End Fraction times Start Fraction 5 over 4 End Fraction less than 4 Start Fraction 1 over 2 End Fraction 174⋅32<174 Start Fraction 17 over 4 End Fraction times Start Fraction 3 over 2 End Fraction less than Start Fraction 17 over 4 End Fraction 358⋅94>358
To determine which statement is true, we can calculate each expression and compare the results.
1. 529⋅78 > 529
The left side equals 41262 and the right side equals 529.
41262 > 529 is true.
2. 5(2/9) × (7/8) > 5(2/9)
Simplifying both sides, we get (10/9) > (10/9).
(10/9) > (10/9) is false.
3. 412⋅54 < 412
The left side equals 22248 and the right side equals 412.
22248 < 412 is false.
4. (17/4) × (3/2) < (17/4)
Simplifying both sides, we get (51/8) < (17/4).
(51/8) < (17/4) is true.
5. 358⋅94 > 358
The left side equals 33652 and the right side equals 358.
33652 > 358 is true.
Based on the calculations, the true statements are: 529⋅78 > 529 and 358⋅94 > 358.
Using computation, which of the following statements is true?(1 point) 1. 5 2/9 x 7/8 > 5 2/9 2. 4 1/2 x 5/4 < 4 1/2 3. 17/4 x 3/2 < 17/4
To determine which statement is true, we can compute the expressions and compare the results.
1. (5 2/9) × (7/8) > (5 2/9)
Convert the mixed numbers to improper fractions: (47/9) × (7/8) > (47/9)
Simplifying both sides, we get: (329/72) > (47/9)
(329/72) is approximately 4.56944 and (47/9) is approximately 5.22222
4.56944 > 5.22222 is false.
2. (4 1/2) × (5/4) < (4 1/2)
Convert the mixed numbers to improper fractions: (9/2) × (5/4) < (9/2)
Simplifying both sides, we get: (45/8) < (9/2)
(45/8) is approximately 5.625 and (9/2) is approximately 4.5
5.625 < 4.5 is false.
3. (17/4) × (3/2) < (17/4)
Simplifying both sides, we get: (51/8) < (17/4)
(51/8) is approximately 6.375 and (17/4) is approximately 4.25
6.375 < 4.25 is false.
Based on the calculations, none of the statements are true.
Using computation, which of the following statements is true?(1 point) Responses 529⋅78>529 5 Start Fraction 2 over 9 End Fraction times Start Fraction 7 over 8 End Fraction greater than 5 Start Fraction 2 over 9 End Fraction 412⋅54<412 4 Start Fraction 1 over 2 End Fraction times Start Fraction 5 over 4 End Fraction less than 4 Start Fraction 1 over 2 End Fraction 174⋅32<174 Start Fraction 17 over 4 End Fraction times Start Fraction 3 over 2 End Fraction less than Start Fraction 17 over 4 End Fraction 358⋅94>358
To determine which statement is true, we can compute the expressions and compare the results.
1. 529⋅78 > 529
The left side equals 41262 and the right side equals 529.
41262 > 529 is true.
2. (5 2/9) × (7/8) > (5 2/9)
Convert the mixed number to an improper fraction: (47/9) × (7/8) > (47/9)
Simplifying both sides, we get: (329/72) > (47/9)
(329/72) is approximately 4.56944, and (47/9) is approximately 5.22222
4.56944 > 5.22222 is false.
3. (412⋅54) < 412
The left side equals 22248 and the right side equals 412.
22248 < 412 is false.
4. (4 1/2) × (5/4) < (4 1/2)
Convert the mixed number to an improper fraction: (9/2) × (5/4) < (9/2)
Simplifying both sides, we get: (45/8) < (9/2)
(45/8) is approximately 5.625, and (9/2) is approximately 4.5
5.625 < 4.5 is false.
5. (174⋅32) < (17/4) × (3/2)
The left side equals 5568 and the right side is (17/4) × (3/2) = (51/8)
5568 < (51/8) is false.
6. 358⋅94 > 358
The left side equals 33572 and the right side equals 358.
33572 > 358 is true.
Based on the calculations, the true statements are:
529⋅78 > 529 and 358⋅94 > 358.