Decimal Multiplication: Locate the Decimal Point in 2.37 × 1.10 = 2607

Question

Given the following exercise, find the correct place of the decimal point:

2.37×1.10=2607 2.37\times1.10=2607

Video Solution

Solution Steps

00:00 Solve
00:03 Convert decimal numbers to fractions
00:06 Write the number as a whole number in the numerator, and multiply by 10 in the denominator
00:10 Add zeros to the denominator according to the number of digits after the decimal point
00:19 Move to the second factor, use the same method
00:23 Write the number as a whole number in the numerator, and multiply by 10 in the denominator
00:28 Add zeros to the denominator according to the number of digits after the decimal point
00:40 Make sure to multiply numerator by numerator and denominator by denominator
00:53 Calculate the multiplications
01:07 Now write the numerator as a whole number
01:11 For the zeros in the denominator, position the decimal point
01:20 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Identify the number of decimal places in each factor
  • Sum the decimal places of the factors
  • Place the decimal point in the product accordingly
  • Confirm with the provided choices

Step 1: Let's determine the decimal places:
The number 2.372.37 has 2 decimal places.
The number 1.101.10 has 2 decimal places.

Step 2: Calculate the total decimal places:
The sum of the decimal places in both numbers is 2+2=42 + 2 = 4.

Step 3: Position the decimal point in the product:
The result of 2.37×1.102.37 \times 1.10 is displayed as 2607.
We need to place the decimal point such that the result contains 4 decimal places in total, starting from the rightmost digit.

Step 4: Apply the decimal adjustment:
Starting from the right, place the decimal point 4 places from the right: 2.6072.607.

Therefore, the correct position of the decimal point in the product is 2.6072.607.

Answer

2.607 2.607