Which of the following expressions is equivalent to 4.56 ×0.031 ? Choose 1 answer: (A) 456 ×31÷100 (B) 456 ×31÷1,000 (c) 456 ×31÷10,000 (D) 456 ×31÷100,000

Question

Which of the following expressions is equivalent to  4.56 ×0.031 ? Choose 1 answer: (A)  456 ×31÷100 (B)  456 ×31÷1,000 (c)  456 ×31÷10,000 (D)  456 ×31÷100,000

Bytelearn · Accepted Answer

Convert decimals to whole numbers: To find an expression equivalent to 4.56 × 0.031, we need to convert the decimal numbers into whole numbers by multiplying them by a power of 10 that makes them whole numbers, and then adjust the expression to maintain the equality.Adjust expression for equality: First, we convert 4.56 into a whole number by multiplying it by 100, which gives us 456. We do the same for 0.031 by multiplying it by 1000, which gives us 31. To maintain the equality, we must divide the product by the same factor we multiplied, which is 100 × 1000 = 100,000.Rewrite expression with whole numbers: Now we rewrite the original expression with these whole numbers and the division by 100,000 to maintain the equality: 4.56 × 0.031 becomes (456 × 31) ÷ 100,000.Compare rewritten expression with options: We compare the rewritten expression with the given options: (A) 456 × 31 ÷ 100 is incorrect because it only accounts for multiplying 4.56 by 100, not 0.031 by 1000. (B) 456 × 31 ÷ 1,000 is incorrect because it only accounts for multiplying 0.031 by 1000, not 4.56 by 100. (C) 456 × 31 ÷ 10,000 is incorrect because it accounts for multiplying 4.56 by 100 and 0.031 by 100, not 1000. (D) 456 × 31 ÷ 100,000 is correct because it accounts for multiplying 4.56 by 100 and 0.031 by 1000.

Which of the following expressions is equivalent to $\newline$ $4.56 \times 0.031$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $456 \times 31 \div 100$ $\newline$ (B) $456 \times 31 \div 1,000$ $\newline$ (C) $456 \times 31 \div 10,000$ $\newline$ (D) $456 \times 31 \div 100,000$

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