Solve: Multiplying 700.6 by 100 Using Decimal Place Values

Q: What if I don't have enough digits to move the decimal?

Add zeros as placeholders! For example, $ 7.3 \times 100 $ becomes $ 730 $ by moving the decimal right and adding a zero.

Q: How do I remember which direction to move the decimal?

Multiplying makes numbers bigger, so the decimal moves right. Dividing makes numbers smaller, so the decimal moves left.

Decimal Multiplication with Powers of Ten

$700.6\times100=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 According to the number of zeros, move the decimal point

00:10 Move the decimal point by the number of zeros

00:20 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$700.6\times100=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Understand the effect of multiplying a decimal by $100$ .
Step 2: Identify the current position of the decimal point in the number.
Step 3: Move the decimal point two places to the right.
Step 4: Compare with the provided choices to identify the correct one.

Now, let's work through each step:
Step 1: Multiplying a number by $100$ involves moving the decimal point two places to the right.
Step 2: The number given is $700.6$ . The decimal is currently between the $0$ and $6$ .
Step 3: By moving the decimal two places to the right, $700.6$ becomes $70060$ .
Step 4: From the choice list, $70060$ matches the answer $70060$ .

Therefore, the solution to the problem is $70060$ .

Final Answer

$70060$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 100 moves decimal point two places right
Technique: $700.6$ becomes $70060$ by shifting decimal right twice
Check: Count zeros in 100, then move decimal that many places ✓

Common Mistakes

Avoid these frequent errors

Adding zeros instead of moving decimal point
Don't just add two zeros to get 70060.00 = wrong place value! This doesn't change the decimal's position correctly. Always move the decimal point exactly two places to the right when multiplying by 100.

Practice Quiz

Test your knowledge with interactive questions

$\text{0}.07\times10=$

FAQ

Everything you need to know about this question

Why does multiplying by 100 move the decimal point?

Because 100 = 10², multiplying by 100 is like multiplying by 10 twice. Each factor of 10 moves the decimal one place right, so 100 moves it two places right.

What if I don't have enough digits to move the decimal?

Add zeros as placeholders! For example, $7.3 \times 100$ becomes $730$ by moving the decimal right and adding a zero.

How do I remember which direction to move the decimal?

Multiplying makes numbers bigger, so the decimal moves right. Dividing makes numbers smaller, so the decimal moves left.

Does this work for other powers of 10?

Yes! Count the zeros: 10 (1 zero) = move 1 place, 1000 (3 zeros) = move 3 places. The number of zeros tells you how many places to move.

What happens if my answer doesn't have a decimal point showing?

That's normal! When the decimal point moves past all digits, you get a whole number. $700.6 \times 100 = 70060$ is a whole number.

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