Square Roots and Exponents
What is the square root of 9?
3
What is the GCF of 14 and 21?
7
What is 1/10 as a decimal?
0.1
What is 1/3 + 1/2?
5/6. (LCD is 6, fractions become 2/6 and 3/6)
What is 3/4 x 2/3? Simplify please.
6/12 = 1/2.
What is 24?
16
What is the LCM of 24 and 36?
72
What is 0.3 as a fraction in its simplest form?
3/10
What is 13/8 - 4/6?
23/24. (LCD is 24, so it becomes 39/24 - 16/24)
What is 2/3 divided by 3/4?
8/9. Keep-change-flip, and it becomes 2/3 x 4/3 = 8/9.
Are -22 and (-2)2 the same thing? Why/why not?
No. The first one is -(2x2) = -4, whereas the second one is -2 x -2 = 4.
What is the sum of all the factors of 20?
42. (1+2+4+5+10+20)
What is 7/8 as a decimal?
0.875 (7 divided by 8)
What is 11 3/5 - 7/10?
10 9/10. LCD is 10, so it becomes 11 6/10 - 7/10. 7 is bigger than 6, so we take one away from the first whole number and add it to its fraction to make it 10 16/10 - 7/10 = 10 9/10.
What is 25/49 x 7/15? Hint: cross-simplify.
5/21. With cross simplification, it becomes 5/7 x 1/3 = 5/21.
What is -34?
-81
What is the LCM and GCF of 24 and 76?
LCM = 4. GCF = 456.
What is 0.45 as a fraction in its simplest form?
9/20. (45/100 and divide numerator and denominator by 5 to get 9/20)
What is 4/13 + 6/7?
106/91 = 1 15/91. (LCD is 13x7=91, so it becomes 28/91 + 78/91 = 106/91)
What is (2/3 + 1/4)/(1 + 1/5)
4 7/12
First step, LCD of both: (8/12 + 3/12)/(5/5 + 1/5)
Next: (11/12)/(6/5) --> 11/2 divided by 6/5
Keep-change-flip: 11/2 x 5/6 = 55/12 = 4 7/12
What whole number is closest to the value of the square root of 88?
9
What is the prime factorization of 480?
2x2x2x2x2x3x5. (25x3x5)
What is 0.35 + 1/8? As either a fraction or decimal.
0.475 or 475/1000
What is 16 3/8 - 2 2/4?
13 7/8. (LCD is 8, so we keep the first one the same and the second fraction is 4/8. 16 3/8 - 2 4/8 is still tough, so we borrow from the first whole number, making it 15 11/8 - 2 4/8 = 13 7/8)
What is 1/3 + 3/6 - 4/12 x 3?
-1/6. PEMDAS/GEMS:
4/12 x 3/1 = 12/12 = 1, making it 1/3 + 3/6 - 1
LCD: 2/6 + 3/6 - 6/6 = 5/6 - 6/6 = -1/6