Calculate the Product: 3.12 × 109 Step-by-Step

3.12×109= 3.12\times109=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 Multiply each digit by each digit, and place in the appropriate position
00:14 Calculate and place, add the tens digit when necessary
00:37 Move to the next digit, calculate and place in the appropriate position
00:40 Any number multiplied by 0 always equals 0
00:50 Move to the next digit, calculate and place in the appropriate position
00:53 Any number multiplied by 1 always equals itself
01:00 Combine the results
01:07 Sum up the digits after the decimal point
01:13 Based on this sum, place 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

3.12×109= 3.12\times109=

2

Step-by-step solution

To solve 3.12×1093.12 \times 109, we proceed as follows:

  • Step 1: Multiply the numbers as if they were whole numbers. Multiply 312312 by 109109.
  • Step 2: Calculate 312×109312 \times 109:
    • 312×100=31200312 \times 100 = 31200
    • 312×9=2808312 \times 9 = 2808
    • Add the two results: 31200+2808=3400831200 + 2808 = 34008.
  • Step 3: Adjust for decimal places. Since 3.123.12 has two decimal places, divide 3400834008 by 100100 to get 340.08340.08.

Therefore, the solution to the multiplication is 340.08340.08.

3

Final Answer

340.08 340.08

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\( \text{0}.07\times10= \)

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