Question

1)Определите порядок выполнения действий и найди значений выражений 48-(70/2+13) = 12*(32-28)/2= 420+80/5*2 = (2600-1000)/4-392= 2)Не меняя чисел и знаков действий,измени выражения так что бы получилось выражения с другими значениями помогите пожалуйста

Answer 1

$48-(70:2+13) =48-(35+13) =48-48 =0, \\ 12\cdot(32-28):2=12\cdot4:2=48:2=24, \\ 420+80:5\cdot2 = 420+16\cdot2 =420+32 = 452,\\ (2600-1000):4-392=1600:4-392=400-392=8.$

$48-70:2+13 =48-35+13 =13-48 =-35, \\ 12\cdot32-28:2=384-28:2=384-14=370, \\ (420+80):5\cdot2 = 500:5\cdot2=100\cdot2=200,\\ 2600-1000:4-392=2600-250-392=2350-392=1958.$

Answer 2

Order of Operations and Expression Values

To determine the order of operations and find the values of the given expressions, let's break down each expression step by step.

1) Expression: 48 - (70 / 2 + 13)

To solve this expression, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

1. First, we evaluate the expression inside the parentheses: 70 / 2 + 13 = 35 + 13 = 48. 2. Then, we substitute the result back into the original expression: 48 - 48 = 0.

Therefore, the value of the expression 48 - (70 / 2 + 13) is 0.

2) Expression: 12 * (32 - 28) / 2

Again, we follow the order of operations to solve this expression.

1. First, we evaluate the expression inside the parentheses: 32 - 28 = 4. 2. Then, we perform the multiplication: 12 * 4 = 48. 3. Finally, we perform the division: 48 / 2 = 24.

Therefore, the value of the expression 12 * (32 - 28) / 2 is 24.

3) Expression: 420 + 80 / 5 * 2

Let's solve this expression using the order of operations.

1. First, we perform the division: 80 / 5 = 16. 2. Then, we perform the multiplication: 16 * 2 = 32. 3. Finally, we perform the addition: 420 + 32 = 452.

Therefore, the value of the expression 420 + 80 / 5 * 2 is 452.

4) Expression: (2600 - 1000) / 4 - 392

Now, let's solve the last expression using the order of operations.

1. First, we perform the subtraction inside the parentheses: 2600 - 1000 = 1600. 2. Then, we perform the division: 1600 / 4 = 400. 3. Finally, we perform the subtraction: 400 - 392 = 8.

Therefore, the value of the expression (2600 - 1000) / 4 - 392 is 8.

Changing Expressions without Changing Values

To change the expressions without altering their values, we can rearrange the order of operations or use different grouping symbols. Here are some examples:

1. Original expression: 48 - (70 / 2 + 13) - Modified expression: 48 - 70 / (2 + 13) - This modification changes the grouping, but the value remains the same.

2. Original expression: 12 * (32 - 28) / 2 - Modified expression: (12 * 32 - 28) / 2 - This modification changes the order of operations by performing the multiplication before the subtraction, but the value remains the same.

3. Original expression: 420 + 80 / 5 * 2 - Modified expression: 420 + (80 / 5 * 2) - This modification changes the grouping, but the value remains the same.

4. Original expression: (2600 - 1000) / 4 - 392 - Modified expression: (2600 - 1000) / (4 - 392) - This modification changes the grouping, but the value remains the same.

By changing the grouping or rearranging the order of operations, we can create different expressions with the same values.

I hope this helps! Let me know if you have any further questions.