Decimal Multiplication: Placing the Decimal Point in 0.10 × 0.10 = 001

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

$0.10\times0.10=001$

Video Solution

Solution Steps

00:00 Solve

00:03 Convert decimal numbers to fractions

00:07 Write the number as a whole number in the numerator, and a multiple of 10 in the denominator

00:10 Add zeros to the denominator according to the number of digits after the decimal point:

00:14 Move to the second factor, use the same method

00:20 Make sure to multiply numerator by numerator and denominator by denominator

00:28 Calculate the multiplications

00:37 Now write the numerator as a whole number

00:40 For the zeros in the denominator, position the decimal point

00:50 And this is the solution to the problem

Step-by-Step Solution

To solve the problem of finding the correct place for the decimal point in the product $0.10 \times 0.10$ , follow these steps:

Step 1: Identify the number of decimal places in each factor.
Step 2: Note that $0.10$ has 2 decimal places, and $0.10$ also has 2 decimal places.
Step 3: Add the decimal places from both factors: $2 + 2 = 4$ .
Step 4: Calculate the product treating them as whole numbers: $10 \times 10 = 100$ .
Step 5: Place the decimal point in the product so that it has a total of 4 decimal places, resulting in $0.0100$ .
Step 6: Simplify $0.0100$ by removing the redundant zeros to get $0.01$ .

Therefore, the correct placement of the decimal point in the product $0.10 \times 0.10$ is $0.01$ .