Solve: 1.031 × 100 - Decimal Multiplication Practice

Q: Why does multiplying by 100 move the decimal point?

Multiplying by 100 means making the number 100 times larger. Moving the decimal point right makes numbers bigger - two places right means 100 times bigger!

Q: What if there aren't enough digits to move the decimal?

Add zeros to the right as needed! For example, $ 1.5 \times 1000 $ becomes 1.500, then move 3 places: $ 1500 $.

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

Multiplying makes bigger, dividing makes smaller. Multiply by 100? Move decimal right to make bigger. Divide by 100? Move decimal left to make smaller.

Q: Does this work for any power of 10?

Yes! Count the zeros in the power of 10. $ 10 $ has 1 zero = move 1 place. $ 1000 $ has 3 zeros = move 3 places. Always move right when multiplying!

Q: What if I get confused about the direction?

Think of it this way: multiplying by 100 means "100 times bigger". Bigger numbers have the decimal point further to the right. So always move right when multiplying by powers of 10.

Decimal Multiplication with Powers of Ten

$1.031\times100=$

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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

00:09 Move the decimal point according to the number of zeros

00:17 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

$1.031\times100=$

Step-by-step solution

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

Step 1: Identify the given number as $1.031$ .
Step 2: We'll apply the rule of moving the decimal point two places to the right, as we are multiplying by $100$ .

Now, let's work through each step:
Step 1: The given number is $1.031$ .
Step 2: Multiplying by $100$ involves moving the decimal two places to the right:
- Starting with $1.031$ , the decimal goes from between '1' and '0' to between '3' and '1', resulting in $103.1$ .

Therefore, the solution to the problem is $103.1$ .

Final Answer

$103.1$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 100 moves decimal point two places right
Technique: From 1.031, move decimal right: 1.031 → 10.31 → 103.1
Check: Count zeros in multiplier: 100 has 2 zeros = move 2 places ✓

Common Mistakes

Avoid these frequent errors

Moving the decimal point the wrong number of places
Don't move the decimal just one place for 100 = 10.31! This happens when you count the '1' in 100 instead of just the zeros. Always count only the zeros: 100 has 2 zeros, so move 2 places right.

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?

Multiplying by 100 means making the number 100 times larger. Moving the decimal point right makes numbers bigger - two places right means 100 times bigger!

What if there aren't enough digits to move the decimal?

Add zeros to the right as needed! For example, $1.5 \times 1000$ becomes 1.500, then move 3 places: $1500$ .

How do I remember which way to move the decimal?

Multiplying makes bigger, dividing makes smaller. Multiply by 100? Move decimal right to make bigger. Divide by 100? Move decimal left to make smaller.

Does this work for any power of 10?

Yes! Count the zeros in the power of 10. $10$ has 1 zero = move 1 place. $1000$ has 3 zeros = move 3 places. Always move right when multiplying!

What if I get confused about the direction?

Think of it this way: multiplying by 100 means "100 times bigger". Bigger numbers have the decimal point further to the right. So always move right when multiplying by powers of 10.

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