QuestionConvert these numbers to scientific notation: 0.00000056, -193.47, $0.0531 \times 10^{8}$ , $-3671 \times 10^{5}$ .

Studdy Solution

STEP 1

Assumptions1. The numbers given are0.00000056, -193.47, $0.0531 \times10^{8}$ , and $-3671 \times10^{5}$ . . We need to express these numbers in scientific notation.
3. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians, and engineers.
4. In scientific notation, numbers are written as a product of two factors a number between1 and10 (including1 but excluding10), and a power of10.

STEP 2

Let's start with the first number,0.00000056. To convert this number into scientific notation, we need to move the decimal point to the right until we get a number between1 and10. We count the number of places we moved the decimal point, and that will be our exponent, but as a negative number because we moved to the right.

STEP 3

Move the decimal point7 places to the right.
$0.00000056 =5.6 \times10^{-7}$

STEP 4

Next, let's convert -193.47 into scientific notation. We move the decimal point to the right until we get a number between1 and10. We count the number of places we moved the decimal point, and that will be our exponent.

STEP 5

Move the decimal point2 places to the right.
$-193.47 = -1.9347 \times10^{2}$

STEP 6

Now, let's convert $0.0531 \times10^{8}$ into scientific notation. We move the decimal point to the right until we get a number between1 and10. We count the number of places we moved the decimal point, and that will be our exponent. We add this to the existing exponent.

STEP 7

Move the decimal point1 place to the right.
$0.0531 \times10^{} =5.31 \times10^{7}$

STEP 8

Finally, let's convert $-3671 \times10^{5}$ into scientific notation. We move the decimal point to the right until we get a number between1 and10. We count the number of places we moved the decimal point, and that will be our exponent. We add this to the existing exponent.

STEP 9

Move the decimal point3 places to the right.
$-367 \times^{5} = -3.671 \times^{8}$ So, the numbers in scientific notation are $5.6 \times^{-7}$ , $-.9347 \times^{2}$ , $5.31 \times^{7}$ , and $-3.671 \times^{8}$ .

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QuestionConvert these numbers to scientific notation: 0.00000056, -193.47, $0.0531 \times 10^{8}$ , $-3671 \times 10^{5}$ .

Studdy Solution

STEP 1

STEP 2

STEP 3

Move the decimal point7 places to the right.
$0.00000056 =5.6 \times10^{-7}$

STEP 4

Next, let's convert -193.47 into scientific notation. We move the decimal point to the right until we get a number between1 and10. We count the number of places we moved the decimal point, and that will be our exponent.

STEP 5

Move the decimal point2 places to the right.
$-193.47 = -1.9347 \times10^{2}$

STEP 6

Now, let's convert $0.0531 \times10^{8}$ into scientific notation. We move the decimal point to the right until we get a number between1 and10. We count the number of places we moved the decimal point, and that will be our exponent. We add this to the existing exponent.

STEP 7

Move the decimal point1 place to the right.
$0.0531 \times10^{} =5.31 \times10^{7}$

STEP 8

Finally, let's convert $-3671 \times10^{5}$ into scientific notation. We move the decimal point to the right until we get a number between1 and10. We count the number of places we moved the decimal point, and that will be our exponent. We add this to the existing exponent.

STEP 9

Move the decimal point3 places to the right.
$-367 \times^{5} = -3.671 \times^{8}$ So, the numbers in scientific notation are $5.6 \times^{-7}$ , $-.9347 \times^{2}$ , $5.31 \times^{7}$ , and $-3.671 \times^{8}$ .

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QuestionConvert these numbers to scientific notation: 0.00000056, -193.47, 0.0531×1080.0531 \times 10^{8}0.0531×108, −3671×105-3671 \times 10^{5}−3671×105.

Studdy Solution

STEP 1

STEP 2

STEP 3

Move the decimal point7 places to the right.0.00000056=5.6×10−70.00000056 =5.6 \times10^{-7}0.00000056=5.6×10−7

STEP 4

Next, let's convert -193.47 into scientific notation. We move the decimal point to the right until we get a number between1 and10. We count the number of places we moved the decimal point, and that will be our exponent.

STEP 5

Move the decimal point2 places to the right.−193.47=−1.9347×102-193.47 = -1.9347 \times10^{2}−193.47=−1.9347×102

STEP 6

Now, let's convert 0.0531×1080.0531 \times10^{8}0.0531×108 into scientific notation. We move the decimal point to the right until we get a number between1 and10. We count the number of places we moved the decimal point, and that will be our exponent. We add this to the existing exponent.

STEP 7

Move the decimal point1 place to the right.0.0531×10=5.31×1070.0531 \times10^{} =5.31 \times10^{7}0.0531×10=5.31×107

STEP 8

Finally, let's convert −3671×105-3671 \times10^{5}−3671×105 into scientific notation. We move the decimal point to the right until we get a number between1 and10. We count the number of places we moved the decimal point, and that will be our exponent. We add this to the existing exponent.

STEP 9

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QuestionConvert these numbers to scientific notation: 0.00000056, -193.47, $0.0531 \times 10^{8}$ , $-3671 \times 10^{5}$ .

Move the decimal point7 places to the right.
$0.00000056 =5.6 \times10^{-7}$

Move the decimal point2 places to the right.
$-193.47 = -1.9347 \times10^{2}$

Now, let's convert $0.0531 \times10^{8}$ into scientific notation. We move the decimal point to the right until we get a number between1 and10. We count the number of places we moved the decimal point, and that will be our exponent. We add this to the existing exponent.

Move the decimal point1 place to the right.
$0.0531 \times10^{} =5.31 \times10^{7}$

Finally, let's convert $-3671 \times10^{5}$ into scientific notation. We move the decimal point to the right until we get a number between1 and10. We count the number of places we moved the decimal point, and that will be our exponent. We add this to the existing exponent.