Scientific Notation

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What is scientific notation?

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Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically in the form of a x 10^n, where 1 ≤ a < 10 and n is an integer.

Tags

CCSS.8.EE.A.3

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How do you convert a number from scientific notation to standard form?

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To convert from scientific notation to standard form, multiply the coefficient (a) by 10 raised to the power of the exponent (n). For example, 6.79 x 10^4 = 6.79 * 10,000 = 67,900.

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How do you convert a number from standard form to scientific notation?

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To convert from standard form to scientific notation, move the decimal point in the number until only one non-zero digit remains to its left. Count the number of places the decimal point is moved; this will be the exponent (n) of 10. For example, 0.004078 becomes 4.078 x 10^-3.

Tags

CCSS.8.EE.A.3

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What does a negative exponent in scientific notation indicate?

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A negative exponent in scientific notation indicates that the number is a fraction or a very small number. For example, 7.82 x 10^-6 represents 0.00000782.

Tags

CCSS.8.EE.A.3

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What does a positive exponent in scientific notation indicate?

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A positive exponent in scientific notation indicates that the number is large. For example, 1.25678 x 10^8 represents 125,678,000.

Tags

CCSS.8.EE.A.3

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What is the standard form of 3.98 x 10^-4?

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The standard form of 3.98 x 10^-4 is 0.000398.

Tags

CCSS.8.EE.A.3

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What is the scientific notation for the number 67,900?

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The scientific notation for 67,900 is 6.79 x 10^4.

Tags

CCSS.8.EE.A.3

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How do you determine the exponent when converting to scientific notation?

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The exponent is determined by how many places the decimal point is moved to convert the number to a value between 1 and 10. If you move the decimal to the left, the exponent is positive; if you move it to the right, the exponent is negative.

Tags

CCSS.8.EE.A.3

Front

What is the scientific notation for the number 0.000398?

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The scientific notation for 0.000398 is 3.98 x 10^-4.

Tags

CCSS.8.EE.A.3

Front

What is the standard form of 1.25678 x 10^8?

Back

The standard form of 1.25678 x 10^8 is 125,678,000.

Tags

CCSS.8.EE.A.3