Multiply or divide as indicated. 23.29÷1000

Verified step by step guidance

1. Identify the operation: The problem asks to divide 23.29 by 1000.
2. Rewrite the division as a fraction: \(\frac{23.29}{1000}\).
3. Recall that dividing by 1000 is equivalent to moving the decimal point three places to the left.
4. Move the decimal point in 23.29 three places to the left to express the quotient.
5. Write the result as a decimal number after moving the decimal point.

Key Concepts

Division of Decimals

Dividing decimals involves dividing the numbers as if they were whole numbers, then placing the decimal point in the quotient according to the number of decimal places in the divisor. Understanding how to handle decimal points is essential for accurate results.

Place Value and Decimal Notation

Place value determines the value of each digit in a number based on its position. In decimal notation, digits to the right of the decimal point represent fractions of ten, such as tenths, hundredths, and thousandths, which is crucial when dividing by numbers like 1000.

Simplifying Fractions and Division by Powers of Ten

Dividing by powers of ten (like 10, 100, 1000) shifts the decimal point to the left by as many places as the number of zeros. This concept simplifies division by 1000, making it easier to compute without long division.