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

Problem Understanding: Understand the problem. We need to find an expression equivalent to multiplying 106 by 3.7. This involves understanding how to manipulate the expression to match one of the given choices.Choice Analysis: Analyze the choices. Each choice involves multiplying 106 by 37 and then dividing by a power of 10. We need to determine which power of 10 will give us the original expression 106 × 3.7.Fraction Conversion: Convert 3.7 to a fraction. 3.7 can be written as 37/10 because moving the decimal one place to the right (which is what happens when you multiply by 10) turns 3.7 into 37.Application of Conversion: Apply the conversion to the original expression. Now we can rewrite 106 × 3.7 as 106 × (37/10). This is the same as multiplying 106 by 37 and then dividing by 10.Matching the Expression: Match the rewritten expression to the choices. The expression 106 × (37/10) matches choice (A) 106 × 37 ÷ 10.

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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

Which of the following expressions is equivalent to $\newline$ $106 \times 3.7$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $106 \times 37 \div 10$ $\newline$ (B) $106 \times 37 \div 100$ $\newline$ (C) $106 \times 37 \div 1,000$ $\newline$ (D) $106 \times 37 \div 10,000$

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Math Problems

Algebra 1

Unions and intersections of sets

Full solution

Q. Which of the following expressions is equivalent to

\newline

106 \times 3.7

\newline

Choose

1

answer:

\newline

(A)

106 \times 37 \div 10

\newline

(B)

106 \times 37 \div 100

\newline

(C)

106 \times 37 \div 1,000

\newline

(D)

106 \times 37 \div 10,000

Problem Understanding: Understand the problem. $\newline$ We need to find an expression equivalent to multiplying $106$ by $3.7$ . This involves understanding how to manipulate the expression to match one of the given choices.
Choice Analysis: Analyze the choices. $\newline$ Each choice involves multiplying $106$ by $37$ and then dividing by a power of $10$ . We need to determine which power of $10$ will give us the original expression $106 \times 3.7$ .
Fraction Conversion: Convert $3.7$ to a fraction. $\newline$ $3.7$ can be written as $\frac{37}{10}$ because moving the decimal one place to the right (which is what happens when you multiply by $10$ ) turns $3.7$ into $37$ .
Application of Conversion: Apply the conversion to the original expression. $\newline$ Now we can rewrite $106 \times 3.7$ as $106 \times \left(\frac{37}{10}\right)$ . This is the same as multiplying $106$ by $37$ and then dividing by $10$ .
Matching the Expression: Match the rewritten expression to the choices. $\newline$ The expression $106 \times \left(\frac{37}{10}\right)$ matches choice (A) $106 \times 37 \div 10$ .