Question Prompt: Question prompt: What is the product of 2.07 and 4.9?Identify Expression: Identify the expression without decimals. In 2.07 × 4.9, we can rewrite the numbers without decimals for easier multiplication: 207 and 49. Expression without decimal: 207 × 49Multiply Numbers: Multiply 207 by 49. Write the expression in simplest form. 207 × 49 = 10143 Product of 207 and 49: 10143Determine Decimal Places: Determine the number of decimal places in the original expression. 2.07 has two decimal places. 4.9 has one decimal place. There is a total of 3 digits after the decimal in the original expression. Total decimal places: 3Apply Decimal Places: Apply the decimal places to the product. We know: 207 × 49 = 10143 What is 2.07 × 4.9? 2.07 × 4.9 has 3 total decimal places. Move the decimal 3 places to the left in 10143. 2.07 × 4.9 = 10.143

Grade 5

Multiply a decimal by a multi-digit whole number

Full solution

2.07 \times 4.9

Question Prompt: Question prompt: What is the product of $2.07$ and $4.9$ ?
Identify Expression: Identify the expression without decimals. $\newline$ In $2.07 \times 4.9$ , we can rewrite the numbers without decimals for easier multiplication: $207$ and $49$ . $\newline$ Expression without decimal: $207 \times 49$
Multiply Numbers: Multiply $207$ by $49$ . $\newline$ Write the expression in simplest form. $\newline$ $207 \times 49 = 10143$ $\newline$ Product of $207$ and $49$ : $10143$
Determine Decimal Places: Determine the number of decimal places in the original expression. $\newline$ $2.07$ has two decimal places. $\newline$ $4.9$ has one decimal place. $\newline$ There is a total of $3$ digits after the decimal in the original expression. $\newline$ Total decimal places: $3$
Apply Decimal Places: Apply the decimal places to the product. $\newline$ We know: $207 \times 49 = 10143$ $\newline$ What is $2.07 \times 4.9$ ? $\newline$ $2.07 \times 4.9$ has $3$ total decimal places. $\newline$ Move the decimal $3$ places to the left in $10143$ . $\newline$ $2.07 \times 4.9 = 10.143$