Which of the following expressions is equivalent to 106 ×3.7 ? Choose 1 answer: (A) 106 ×37÷10 (B) 106 ×37÷100 (C) 106 ×37÷1,000 (D) 106 ×37÷10,000

Convert to Fraction: To find an equivalent expression for 106 × 3.7, we need to express 3.7 as a fraction in a way that makes it easy to multiply by 106. 3.7 can be written as 37/10 because 37 divided by 10 gives 3.7.Multiply by Fraction: Now, let's multiply 106 by the fraction 37/10. 106 × (37/10) = (106 × 37) ÷ 10 This is because when you multiply a number by a fraction, you multiply the number by the numerator and then divide by the denominator.Check Answer Choices: Looking at the answer choices, we see that option (A) is 106 × 37 ÷ 10, which matches the expression we found in the previous step. Therefore, option (A) is equivalent to 106 × 3.7.

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Math Problems

Grade 8

Write a linear equation from two points

Full solution

Q. Which of the following expressions is equivalent to

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106 \times 3.7

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Choose

1

answer:

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(A)

106 \times 37 \div 10

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(B)

106 \times 37 \div 100

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(C)

106 \times 37 \div 1,000

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(D)

106 \times 37 \div 10,000

Convert to Fraction: To find an equivalent expression for $106 \times 3.7$ , we need to express $3.7$ as a fraction in a way that makes it easy to multiply by $106$ . $\newline$ $3.7$ can be written as $\frac{37}{10}$ because $37$ divided by $10$ gives $3.7$ .
Multiply by Fraction: Now, let's multiply $106$ by the fraction $\frac{37}{10}$ . $\newline$ $106 \times \left(\frac{37}{10}\right) = (106 \times 37) \div 10$ $\newline$ This is because when you multiply a number by a fraction, you multiply the number by the numerator and then divide by the denominator.
Check Answer Choices: Looking at the answer choices, we see that option (A) is $106 \times 37 \div 10$ , which matches the expression we found in the previous step. $\newline$ Therefore, option (A) is equivalent to $106 \times 3.7$ .