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Fill in the blank:
\[ 3 \times 10 = (2 \times 10) + (1 \times \_ ) \]
Answer (2)
The missing number in the expression 3x10=(2x10)+(1x_) is 10, completing the equation to 30=20+10. Mathematical problems often require following the order of operations, as shown in the example calculation that results in the answer 17.
The student is asked to complete the expression 3x10=(2x10)+(1x_). To find the missing number that completes the equation, we realize that 3x10 is equal to 30. The expression on the right side of the equation already has 2x10 which equals 20, so we need to find the number that when multiplied by 1 and added to 20 equals 30. The missing number is 10, as 20 + (1x10) equals 30.
To illustrate order of operations, we take the example 4 +9 ÷ 3 − 2 x 3 + (3 + 1) x 4. Following the rules of order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)), we first calculate the operations within parentheses (3+1) resulting in 4, then we do multiplication and division which gives us 9 ÷ 3 equal to 3, and 2 x 3 equal to 6, then we perform addition and subtraction in sequence to arrive at the correct answer 17.
The missing number in the equation 3 × 10 = ( 2 × 10 ) + ( 1 × _ ) is 10, as it completes the equation correctly. By calculating, we find that 30 = 20 + 10 , confirming the correct solution. Therefore, _ equals 10.
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