The value of the expression 4.2 ÷ 0.21 + 0.45 × 0.3 is 20.135 . We first divided 4.2 by 0.21 to get 20, then multiplied 0.45 by 0.3 to get 0.135, and finally added the results. Hence, the complete answer is 20.135 .
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To solve the expression 4.2 ÷ 0.21 + 0.45 × 0.3 , we need to follow the 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)).
Step 1: Division
First, perform the division: 4.2 ÷ 0.21 To divide these numbers, convert them into whole numbers by multiplying both the dividend and the divisor by 100: 420 ÷ 21 = 20 So, 4.2 ÷ 0.21 = 20 .
Step 2: Multiplication
Next, perform the multiplication: 0.45 × 0.3 First, multiply 45 by 3: 45 × 3 = 135 Since we are multiplying two decimal numbers, counting a total of three decimal places, the product is: 0.135 So, 0.45 × 0.3 = 0.135 .
Step 3: Addition
Finally, add the results from the division and multiplication: 20 + 0.135 = 20.135
Thus, the value of the expression is 20.135 .