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3 years ago

Use the order of operations to find the value of the following expression.

2 answers:

7 0

10² - 2 (8) + 11 . Use PEMDAS, which is the order of operation to follow:

P = parenthesis  → 10² - 2x8 +11
E = exponent     → 100 - 2x8 +11
M = Multiplication → 100 -16 +11
D = Division         → NO DIVISION
A = Addition        → 111 -16
S = Subtraction  → 95 (answer 3)

Apply the same logic for the 2nd exercice and you will find 26 (I don't see the 26 in your answer but I am sure it's 26)

Tju [1.3M]3 years ago

3 0

95

3 plus 27 minus 4

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2 years ago

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2 years ago

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2 years ago

Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply

Charra [1.4K]

Answer:

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16) = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

(x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

x(x⁴ +4) = 1(1⁴ +4) = 5

3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

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2 years ago