BELAJAR NOTASI ILMIAH (BENTUK BAKU) KELAS 9 SMP

Summary

This video provides a clear and practical guide to understanding scientific notation, a method of writing numbers in the form a × 10^n, where a is between 1 and 10. It explains how to convert both large and small numbers into standard form, showing step-by-step examples like 2000 becoming 2 × 10^3 and 0.04 becoming 4 × 10^-2. The video also demonstrates adjusting numbers already in scientific form and converting them back to decimal form. Through multiple examples and detailed explanations, viewers learn to correctly shift decimals and determine the proper exponent, making complex numbers easier to read and work with.

Takeaways

• 😀 Scientific notation is a standard form of writing positive numbers where the number is expressed as a value between 1 and 10, multiplied by 10 raised to a power.
• 😀 To convert a number like 2000 into scientific notation, write it as 2 × 10^3.
• 😀 When converting a small number like 0.04 into scientific notation, you must adjust it to be between 1 and 10, using negative exponents when the decimal moves left.
• 😀 For example, 0.04 becomes 4 × 10^-2 in scientific notation.
• 😀 Numbers greater than 10 need to be expressed in scientific notation by adjusting the decimal to be between 1 and 10 and adjusting the exponent accordingly.
• 😀 If you want to express 2300 in scientific notation, you would write it as 2.3 × 10^3.
• 😀 When dealing with numbers smaller than 1, the exponent becomes negative, depending on how many places the decimal is moved.
• 😀 To convert a number like 0.00695 to scientific notation, you would write it as 6.95 × 10^-3.
• 😀 Numbers in scientific notation can be converted back to regular form by moving the decimal point according to the exponent of 10.
• 😀 For example, 2.16 × 10^5 becomes 216,000, and 9.16 × 10^-3 becomes 0.00916 in regular form.
• 😀 The key to understanding scientific notation is knowing how to shift the decimal and adjust the power of 10 depending on whether the number is greater than or less than 1.

Q & A

What is scientific notation?

Scientific notation is a standard way of writing numbers that are either very large or very small, using powers of 10. In this notation, numbers are written as a product of a number between 1 and 10, multiplied by 10 raised to an integer exponent.

How do you write a number in scientific notation?

To write a number in scientific notation, you must express the number as a product of a value between 1 and 10, and multiply it by 10 raised to a power. For example, 2000 becomes 2 times 10^3.

What is the scientific notation for the number 0.04?

The scientific notation for 0.04 is 4 times 10^-2, since moving the decimal point two places to the right makes the number 4, and the exponent reflects how many places the decimal was moved.

Why is the exponent negative for numbers less than 1?

The exponent is negative for numbers less than 1 because the decimal point is moved to the left. Each movement to the left represents a negative power of 10.

How do you convert 2300 into scientific notation?

To convert 2300 into scientific notation, move the decimal point so that the number is between 1 and 10. This results in 2.3, and since the decimal was moved three places to the left, the exponent is 3. So, the scientific notation is 2.3 times 10^3.

What does it mean if the exponent in scientific notation is negative?

A negative exponent means that the number is very small and the decimal point was moved to the left. For example, 0.00695 is written as 6.95 times 10^-3.

How do you convert a number like 4567 times 10^-6 into scientific notation?

To convert 4567 times 10^-6 into scientific notation, you first need to make the number between 1 and 10. This gives 4.567, and since the decimal was moved three places to the left, the exponent becomes -3. The final scientific notation is 4.567 times 10^-3.

What is the scientific notation for 46.78 times 10^-3?

To convert 46.78 times 10^-3 into scientific notation, the number 46.78 is first adjusted to 4.678 by moving the decimal point. The exponent is then adjusted accordingly, increasing by one, making the final scientific notation 4.678 times 10^-2.

How do you convert 2.16 times 10^5 into standard form?

To convert 2.16 times 10^5 into standard form, move the decimal point five places to the right, which gives 216000.

What is the result of 9.16 times 10^-3 in standard form?

To convert 9.16 times 10^-3 into standard form, move the decimal point three places to the left, resulting in 0.00916.