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Calculate the following decimal multiplications and divisions by powers of 10:

Mathematics

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Step-by-step solution

12 steps

1. Calculate:

*1. 23,45×1023,45 \times 10

  1. To multiply a decimal by 10, move the decimal point one place to the right.

    23,45×10=234,523,45 \times 10 = 234,5

    The answer is: 234,5\boxed{234,5}

    *2. 9,5×109,5 \times 10

  2. To multiply a decimal by 10, move the decimal point one place to the right.

    9,5×10=959,5 \times 10 = 95

    The answer is: 95\boxed{95}

    *3. 24,568×10024,568 \times 100

  3. To multiply a decimal by 100, move the decimal point two places to the right.

    24,568×100=2456,824,568 \times 100 = 2456,8

    The answer is: 2456,8\boxed{2456,8}

    *4. 0,223×1000,223 \times 100

  4. To multiply a decimal by 100, move the decimal point two places to the right.

    0,223×100=22,30,223 \times 100 = 22,3

    The answer is: 22,3\boxed{22,3}

    *5. 500,23×1000500,23 \times 1000

  5. To multiply a decimal by 1000, move the decimal point three places to the right.

    500,23×1000=500230500,23 \times 1000 = 500230

    The answer is: 500230\boxed{500230}

    *6. 45,3134×100045,3134 \times 1000

  6. To multiply a decimal by 1000, move the decimal point three places to the right.

    45,3134×1000=45313,445,3134 \times 1000 = 45313,4

    The answer is: 45313,4\boxed{45313,4}

    *7. 23,4÷1023,4 \div 10

  7. To divide a decimal by 10, move the decimal point one place to the left.

    23,4÷10=2,3423,4 \div 10 = 2,34

    The answer is: 2,34\boxed{2,34}

    *8. 0,4÷100,4 \div 10

  8. To divide a decimal by 10, move the decimal point one place to the left.

    0,4÷10=0,040,4 \div 10 = 0,04

    The answer is: 0,04\boxed{0,04}

    *9. 144,5÷100144,5 \div 100

  9. To divide a decimal by 100, move the decimal point two places to the left.

    144,5÷100=1,445144,5 \div 100 = 1,445

    The answer is: 1,445\boxed{1,445}

    *10. 12,334÷10012,334 \div 100

  10. To divide a decimal by 100, move the decimal point two places to the left.

    12,334÷100=0,1233412,334 \div 100 = 0,12334

    The answer is: 0,12334\boxed{0,12334}

    *11. 3452,1÷10003452,1 \div 1000

  11. To divide a decimal by 1000, move the decimal point three places to the left.

    3452,1÷1000=3,45213452,1 \div 1000 = 3,4521

    The answer is: 3,4521\boxed{3,4521}

    *12. 9,12÷10009,12 \div 1000

  12. To divide a decimal by 1000, move the decimal point three places to the left.

    9,12÷1000=0,009129,12 \div 1000 = 0,00912

    The answer is: 0,00912\boxed{0,00912}

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