Solve the following problems:
1. 56 / 28 + 21 %(mod) 4 + (23 - 12) * 11 = ?
2. 65 * 23 + (12 * 5) - 153 / 3 %(mod) 23 = ?
3. (147 % 26) - 17 * 782 / (123 * 108) + 12 - 28 = ?
(PLS PUT STEP BY STEP SOLUTION, NO EXPLANATION IS NEEDED)
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Solve the following problems:
1. 56 / 28 + 21 %(mod) 4 + (23 - 12) * 11 = ?
2. 65 * 23 + (12 * 5) - 153 / 3 %(mod) 23 = ?
3. (147 % 26) - 17 * 782 / (123 * 108) + 12 - 28 = ?
(PLS PUT STEP BY STEP SOLUTION, NO EXPLANATION IS NEEDED)
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Verified answer
1. The answer is 125.57.
56 ÷ 28 + 21 ÷ 4 + (23-12) x 11
56 ÷ 28 + 21 ÷ 4 + 11 x 11
56 ÷ 28 + 21 ÷ 4 + 121
56 ÷ 49 ÷ 4 + 121
56 ÷ 12.25 + 121
4.57 + 121
= 125.57
2. The answer is 65.39.
65 x 23 + (12 x 5) - 153 ÷ 3 ÷ 23
1,495 + 60 - 153 ÷ 3 ÷ 23
1,555 - 153 ÷ 3 ÷ 23
1,555 - 51 ÷ 23
1,504 ÷ 23
= 65.39
3. The answer is -0.67.
(147 ÷ 26) - 17 x 782 ÷ (123 x 108) + 12 - 28
5.65 - 17 x 782 ÷ 13,284 + 12 - 28
-11.35 x 782 ÷ 13,296 - 28
-11.35 x 782 ÷ 13,268
-8,875.7 ÷ 13,268
= -0.67
What is MDAS?
Multiplication, Division, Addition, and Subtraction are collectively known as MDAS. It is a component of the Order of Operations, a body of guidelines that establishes a sequential order for reducing the complexity of mathematical operations. It is employed whenever an expression or equation contains many operations. According to the Order of Operations, addition and subtraction must come after any multiplication or division.
Consider the fact that multiplication is more effective than addition because it is simply addition repeated: furthermore, division is more effective than subtraction because it is simply repeated subtraction. The Order of Operations was created by mathematicians to organize various operations according to their respective potency. MDAS for simplifying expressions: since division and multiplication are both equally potent operations, evaluate both of them concurrently while moving from left to right. Evaluate addition and subtraction after all multiplication and division processes have been streamlined. Consider these two processes concurrently, proceeding from left to right, since addition and subtraction have equal power.
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