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Evaluate: 0.5 ├Ч 0.5 + 0.5 ├╖ 0.5
1.25
0.75
1.5
0.25
25
Evaluate multiplication and division independently from left to right before performing the final addition.
Expression: 0.5 * 0.5 + 0.5 / 0.5
0.5├Ч0.5+0.5├╖0.5
Evaluate multiplication and division independently from left to right before performing the final addition.
Students frequently perform operations strictly from left to right without respecting the BODMAS order or incorrectly assume that any number divided by itself in decimals changes value.
Identify Order of Operations
According to the BODMAS rule, multiplication and division must be performed before addition.
0.5├Ч0.5+0.5├╖0.5
Perform Multiplication
Calculate the first part of the expression: 0.5├Ч0.5=0.25.
0.5├Ч0.5=0.25
Perform Division
Calculate the second part of the expression: 0.5├╖0.5=1.
0.5├╖0.5=1
Perform Addition
Add the results of the multiplication and division steps together: 0.25+1=1.25.
0.25+1=1.25
A is correct because evaluating the expression using the BODMAS rule yields 0.25 + 1 = 1.25.
A strong grasp of the order of operations is essential for avoiding costly arithmetic mistakes in algebraic simplification and data interpretation.
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