Problem 36 Multiply the following numbers b... [FREE SOLUTION]

Chapter 3: Problem 36

Multiply the following numbers by moving the decimal. $$0.08 \times 10=$$

Short Answer

Expert verified

0.08 脳 10 = 0.8

Step by step solution

Understand the Problem

We need to multiply the number 0.08 by 10. When multiplying a decimal by 10, we can use the technique of moving the decimal point to the right.

Identify the Position of the Decimal

The number 0.08 currently has a decimal point directly before the 8. The decimal point is between the 0 and the first 8.

Move the Decimal Point

To multiply by 10, move the decimal point one position to the right. This means the decimal point will move from before the 8 to after the 8.

Adjust the Number Accordingly

After moving the decimal point one place to the right, the number 0.08 becomes 0.8.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Moving the Decimal

Multiplying decimals is made simple by understanding how the decimal point shifts. When multiplying a number like 0.08 by 10, the decimal point moves to the right by one position.

Decimal relocation affects the magnitude, not the value. Think of it as adjusting the scale without changing the ingredients.
This shift is due to the fact that each movement to the right multiplies the number by 10.

As an example, take the number 0.08. The decimal starts between 0 and 8, and by moving it one step to the right, we turn 0.08 into 0.8. This simple shift effectively multiplies the number by 10.

Multiplication Techniques

There are different methods to tackle multiplication. For decimals, moving the decimal point is particularly effective, especially when multiplying by powers of ten.

Start by rewriting the decimal multiplication as if there were no decimal point.
Multiply as with whole numbers, then reposition the decimal point based on the original placement.

This technique simplifies multiplication. By counting decimal places, you maintain accuracy. Remember, multiplying by ten shifts the decimal point without altering the number's core sequence of digits.

Place Value Understanding

In arithmetic, place value is fundamental. It explains the significance of each digit depending on its location relative to the decimal point.

The digit directly after the decimal represents tenths, the second hundredths, and so forth.
When you move decimals during multiplication, you're effectively changing each digit's place value.

For instance, 0.08 has 8 in the hundredths place. By multiplying by 10, it becomes 8 in the tenths place, changing its value from hundredths to tenths while simplifying the number to 0.8.

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91影视

Multiply the following numbers by moving the decimal. $$0.08 \times 10=$$

Short Answer

Step by step solution

Understand the Problem

Identify the Position of the Decimal

Move the Decimal Point

Adjust the Number Accordingly

Key Concepts

Moving the Decimal

Multiplication Techniques

Place Value Understanding

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