Source: Extra Practice

Which of the following statements is true?

Options

Option A

205×2=3020 - 5 \times 2 = 30

Option B is correct

15÷3+4=915 \div 3 + 4 = 9

Option C

10+8÷2=910 + 8 \div 2 = 9

Option D

2×(5+3)=132 \times (5 + 3) = 13

Explanation

Let's evaluate each option using the order of operations:

  • Option A: 205×220 - 5 \times 2 Multiplication first: 5×2=105 \times 2 = 10 Then subtraction: 2010=1020 - 10 = 10. Since 103010 \neq 30, statement A is false.
  • Option B: 15÷3+415 \div 3 + 4 Division first: 15÷3=515 \div 3 = 5 Then addition: 5+4=95 + 4 = 9. Since 9=99 = 9, statement B is true.
  • Option C: 10+8÷210 + 8 \div 2 Division first: 8÷2=48 \div 2 = 4 Then addition: 10+4=1410 + 4 = 14. Since 14914 \neq 9, statement C is false.
  • Option D: 2×(5+3)2 \times (5 + 3) Parenthesis first: 5+3=85 + 3 = 8 Then multiplication: 2×8=162 \times 8 = 16. Since 161316 \neq 13, statement D is false. Therefore, only statement B is true.