Solve Decimal Division: 30.3 ÷ 300 Step by Step

30.3:300= 30.3:300=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Multiply each factor by 100 to eliminate the decimal point
00:39 Convert division to fraction
00:46 Break down each factor into factors with multiplication of 3
00:54 Reduce what's possible
01:03 According to the number of zeros in the denominator, we'll move the decimal point
01:18 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

30.3:300= 30.3:300=

2

Step-by-step solution

To solve this problem, we will follow these steps:

  • Understand the context and arithmetic implication of dividing by 300 300 .
  • Apply the division rule for decimal fractions to manage decimal point movements effectively.
  • Verify calculated results with given choices.

Step 1: We know that we need to divide 30.3 30.3 by 300 300 . To do this, observe that:

Step 2: The number 300 300 can be written as 3×100 3 \times 100 . When we divide by 300 300 , it's equivalent to:

  • First dividing 30.3 30.3 by 3 3 .
  • Then dividing the result by 100 100 (which is moving the decimal point two places to the left).

Step 3: Perform the calculation:
- 30.3÷3=10.1 30.3 \div 3 = 10.1 .
- Now divide 10.1 10.1 by 100 100 , which effectively moves the decimal two places left, giving 0.101 0.101 .

Therefore, the solution to the problem is 0.101 0.101 .

3

Final Answer

0.101 0.101

Practice Quiz

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\( 0.26\times10= \)

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