Math

QuestionCalculate the expression: 5×5÷9×1+25 \times 5 \div 9 \times 1 + 2.

Studdy Solution

STEP 1

Assumptions1. We are using the order of operations, also known as BIDMAS or PEMAS, which stands for Brackets, Indices (or Exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

STEP 2

First, we perform the multiplication operations. According to the order of operations, multiplication and division should be performed from left to right.
5×5=255 \times5 =25So, the expression becomes25÷9×1+225 \div9 \times1 +2

STEP 3

Next, we perform the division operation.25÷9=2.7777777777825 \div9 =2.77777777778So, the expression becomes2.77777777778×1+22.77777777778 \times1 +2

STEP 4

Then, we perform the next multiplication operation.2.77777777778×1=2.777777777782.77777777778 \times1 =2.77777777778So, the expression becomes2.77777777778+22.77777777778 +2

STEP 5

Finally, we perform the addition operation.
2.77777777778+2=4.777777777782.77777777778 +2 =4.77777777778So, the solution to the expression 5×5÷9×1+25 \times5 \div9 \times1+2 is approximately4.78 (rounded to two decimal places).

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