Multiply or divide as indicated. 0.07 * 0.004

Verified step by step guidance

1. Identify the numbers to be multiplied: 0.07 and 0.004.
2. Convert the decimal numbers to fractions: 0.07 = \( \frac{7}{100} \) and 0.004 = \( \frac{4}{1000} \).
3. Multiply the fractions: \( \frac{7}{100} \times \frac{4}{1000} \).
4. Multiply the numerators: 7 \times 4.
5. Multiply the denominators: 100 \times 1000.

Key Concepts

Multiplication of Decimals

Multiplying decimals involves multiplying the numbers as if they were whole numbers and then placing the decimal point in the product. The total number of decimal places in the factors determines the placement of the decimal in the result. For example, in 0.07 and 0.004, there are a total of six decimal places, so the product will have six decimal places.

Place Value

Place value is the value of a digit based on its position within a number. In decimal numbers, each position to the right of the decimal point represents a fraction of ten. Understanding place value is crucial when multiplying decimals, as it helps in accurately determining the position of the decimal point in the final answer.

Order of Operations

The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. In the case of multiplying decimals, it is important to perform the multiplication before any other operations, following the standard order: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).