The modulus of a number relative to a base is the positive remainder when itis divided by that base. So
-24 mod 7 = (-28 + 4) mod 7 = -28 mod 7 + 4 mod 7 = 4 mod 7 = 4while
24 mod 7 = (21 + 3) mod 7 = 21 mod 7 + 3 mod 7 = 3 mod 7 = 3.
Pairs of integers which when multiplied equal -24 are: -3 8 -4 6 -6 4 -12 2 -24 1 3 -8 4 -6 6 -4 12 -2 24 -1
No. Convert to equivalent fractions with the same denominator and compare numerators: 4/8 = (4×3)/(8×3) = 12/24 2/6 = (2×4)/(6×4) = 8/24 12 does not equal 8, so 12/24 does not equal 8/24, thus 4/8 does not equal 2/6.
24. 4x3x6 = 72 1/3 of 72 is 24.
9-5=4 7-4=3 3*8=24
The remainder is 2. Knowing how to do modular arithmetic makes the problem much easier to solve. We say a number x has a value of k "mod" 7 if dividing x by 7 leaves a remainder of k. Multiples of 7 are equal to 0 mod 7 (they leave no remainder), and 32 is equal to 4 mod 7, because 32 / 7 = 4 remainder 4. The product of 100 5s is equal to 5 to the 100th power, or 5^100 in shorthand. Let us look at what the first few powers of 5 are equal to mod 7: 5^1 = 5 = 5 mod 7 5^2 = 25 = 4 mod 7 5^3 = 125 = 6 mod 7 5^4 = 625 = 2 mod 7 5^5 = 3125 = 3 mod 7 5^6 = 15625 = 1 mod 7 5^7 = 78125 = 5 mod 7 5^8 = 390625 = 4 mod 7 It looks as if we might have a repeating pattern, and indeed the next few powers of 5 are equal to 6, 2, and 3, confirming that 5^k = 5^(k-6) mod 7. This means that 5^100 has the same remainder after dividing by 7 as 5^94, which has the same remainder as 5^88, etc. etc. until we reach 5^4, which leaves a remainder of 2. Therefore by induction 5^100 leaves a remainder of 2. Hope this all makes sense.
(-4)*3 - (-4)*9 = -12 + 36 = 24
((-5 - -2) - 3) x -4 = 24
Pairs of integers which when multiplied equal -24 are: -3 8 -4 6 -6 4 -12 2 -24 1 3 -8 4 -6 6 -4 12 -2 24 -1
mod(b - 4, 24)
It is simply: 1*2*3*4 = 24
9 - 8 =1 4 -1 =3 3*8= 24
No. Convert to equivalent fractions with the same denominator and compare numerators: 4/8 = (4×3)/(8×3) = 12/24 2/6 = (2×4)/(6×4) = 8/24 12 does not equal 8, so 12/24 does not equal 8/24, thus 4/8 does not equal 2/6.
4/3 x 6 = 24/3 = 8
Numbers. i^n = i^(n mod 4). With n = 27, 27 mod 4...
3 + 2/3 + 4 + 1/8 = 7 + 16/24 + 3 / 24 = 7 + 19/24
3/4 * 8/1=24/4 = 6 answer: 6
8 a dotted sixteenth is equal to rest/note is equal to 3/8 of a beat in 4/4 time signature. a dotted half is equal to 3 beats or 24/8 of a beat. so 24/3=8