Dividing Numbers and Scientific Notation

The video tutorial explains how to divide numbers in scientific notation without using a calculator. It breaks down the process into manageable steps, first by dividing the coefficients and then by subtracting the exponents. The tutorial provides two examples, highlighting the importance of ensuring the mantissa is in the correct form for scientific notation. The first example involves dividing 7 by 2 and adjusting the exponents, while the second example demonstrates dividing 2.4 by 4.8 and correcting the mantissa to fit scientific notation standards.

What is the first step in dividing numbers in scientific notation without a calculator?

• Multiply the numbers directly.

• Convert them to fractions connected by multiplication.

• Add the exponents.

• Use a calculator.

How many times does 2 go into 7 when dividing 7 by 2?

• 5 times

• 4 times

• 3 times

• 2 times

What is the result of 7 divided by 2 in decimal form?

• 4.0

• 3.5

• 3.0

• 2.5

When dividing powers of ten, what operation is performed on the exponents?

• Add the exponents

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

What is the result of subtracting the exponents 12 and 7?

• 6

• 5

• 4

• 3

In the new example, what is the initial division performed?

• 10 to the 7th divided by 10 to the 2nd

• 10 to the 2nd divided by 10 to the 7th

• 4.8 divided by 2.4

• 2.4 divided by 4.8

What is the decimal result of 2.4 divided by 4.8?

• 1.0

• 0.25

• 0.5

• 0.75

Why is the mantissa adjusted after division in scientific notation?

• To make it greater than 10

• To simplify the calculation

• To fit the scientific notation format

• To make it less than 1

What is the final scientific notation form of 0.5 times 10 to the 5th?

• 0.5 times 10 to the 4th

• 5 times 10 to the 4th

• 5 times 10 to the 5th

• 0.5 times 10 to the 6th

What is the purpose of moving the decimal point in scientific notation?

• To make calculations easier

• To ensure the mantissa is between 1 and 10

• To decrease the exponent

• To increase the exponent