Step 1: First, ignore the trailing zeros in 6,000 and calculate the basic division: 6 ÷ 2 = 3. Step 2: Count the number of trailing zeros in the original dividend 6,000, which is 3 zeros. Step 3: Append the 3 trailing zeros to the result of the basic division 3, getting 3000.

How to Calculate 6000 ÷ 2: Primary School Math Problem

$Math Problem$

Mathematics Grade 3 of Primary School

Question Content

Calculate 6,000 ÷ 2

Correct Answer

3000

Detailed Solution Steps

1
Step 1: First, ignore the trailing zeros in 6,000 and calculate the basic division: 6 ÷ 2 = 3.
2
Step 2: Count the number of trailing zeros in the original dividend 6,000, which is 3 zeros.
3
Step 3: Append the 3 trailing zeros to the result of the basic division 3, getting 3000.

Knowledge Points Involved

Division of whole numbers with trailing zeros

When dividing a whole number that ends with one or more zeros by a single-digit whole number, you can first divide the non-zero part of the dividend by the divisor, then add the same number of trailing zeros from the original dividend to the quotient. This method simplifies large number division by breaking it down into a basic single-digit division problem.

Basic single-digit division facts

These are foundational division equations involving single-digit numbers, such as 6÷2=3. They are the building blocks for solving more complex division problems, including those with large numbers or multi-digit divisors. Students memorize these facts to quickly solve basic division and build up to advanced operations.

Place value understanding in division

Place value refers to the value of a digit based on its position in a number (e.g., the 6 in 6,000 represents 6 thousands). When dividing 6,000 by 2, you are essentially splitting 6 thousands into 2 equal groups, with each group containing 3 thousands, which is 3000. This understanding helps explain why appending trailing zeros works for this type of division.

Loading solution...