Author: Study Clue

Which option is an improper fraction, meaning numerator is greater than denominator? A 7/9 B 9/8 C 5/10 D 3/11

Which fraction is a proper fraction, meaning the numerator is less than the denominator? A 9/7 B 10/10 C 7/9

Simplify (25⋅4−2)38−18−1(25⋅4−2)3 A 64 B 32 C 16 D 128 Explanation 4−2=2−44−2=2−4, so 25⋅2−4=2125⋅2−4=21. Then (21)3=23(21)3=23. Dividing by 8−1=2−38−1=2−3 gives

Simplify 63⋅32929263⋅32 A 24 B 8 C 12 D 4 Explanation Write 63=(2⋅3)3=23⋅3363=(2⋅3)3=23⋅33. Then numerator =23⋅33+2=23⋅35=23⋅33+2=23⋅35. Denominator 92=(32)2=3492=(32)2=34. Result =23⋅35−4=8⋅3=24=23⋅35−4=8⋅3=24.

Simplify 27⋅43828227⋅43 A 128 B 64 C 32 D 16 Explanation Write all as powers of 2: 43=(22)3=2643=(22)3=26, 82=(23)2=2682=(23)2=26. Then

Simplify a9÷a4a9÷a4 for a≠0a=0 A a13a13 B a5a5 C a−5a−5 D a4a4 Explanation When dividing same bases, subtract exponents: a9/a4=a9−4=a5a9/a4=a9−4=a5.

Simplify a7×a3a7×a3 for a≠0a=0 A a21a21 B a4a4 C a10a10 D a73a37 Explanation When multiplying powers with the same base,

If x=0.135‾x=0.135, what is xx in simplest fraction form A 15/99 B 135/1000 C 5/37 D 27/199 Explanation Let x=0.135135…x=0.135135….

Which statement is always true A Rational ⇒ nonrepeating B Irrational ⇒ repeating C Terminating ⇒ rational D Repeating ⇒

Which number is irrational A 0.125 B 17/5 C −9 D √6 Explanation 0.125 is terminating, 17/5 is a fraction,