Calculate the Product: Solving 1.06 × 10 Step-by-Step

Q: Why does the decimal point move when I multiply by 10?

Multiplying by 10 makes each digit ten times larger, so it moves to the next place value position. The ones become tens, the tenths become ones, and so on!

Q: What if there's no decimal point showing?

Every whole number has an invisible decimal point at the end. For example, 5 is really 5.0, so 5 × 10 = 50.0 = 50.

Q: How do I multiply by 100 or 1000?

Move the decimal point two places for 100, three places for 1000. The number of zeros tells you how many places to move!

Q: Can I use this trick for dividing by 10 too?

Yes! When dividing by 10, move the decimal point one place to the left. It's the opposite direction of multiplication.

Decimal Multiplication with Powers of Ten

$1.06\times10=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 According to the number of zeros, move the decimal point

00:09 Move the decimal point as many places as zeros

00:16 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

$1.06\times10=$

Step-by-step solution

To solve the problem of multiplying $1.06$ by $10$ , we need to follow these steps:

Step 1: Note that when a number is multiplied by $10$ , the decimal point moves one place to the right.
Step 2: Start with the number $1.06$ .
Step 3: Move the decimal point in $1.06$ one place to the right, resulting in $10.6$ .

Thus, when we multiply $1.06$ by $10$ , the product is $10.6$ .

Therefore, the correct choice from the list provided is option $10.6$ .

Final Answer

$10.6$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 10 moves decimal point one place right
Technique: From 1.06, shift decimal right to get 10.6
Check: Count decimal places: 1.06 has 2, result 10.6 has 1 ✓

Common Mistakes

Avoid these frequent errors

Adding zeros instead of moving decimal point
Don't just add a zero to get 1.060 = wrong answer! This treats multiplication like addition. Always move the decimal point one place to the right when multiplying by 10.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why does the decimal point move when I multiply by 10?

Multiplying by 10 makes each digit ten times larger, so it moves to the next place value position. The ones become tens, the tenths become ones, and so on!

What if there's no decimal point showing?

Every whole number has an invisible decimal point at the end. For example, 5 is really 5.0, so 5 × 10 = 50.0 = 50.

How do I multiply by 100 or 1000?

Move the decimal point two places for 100, three places for 1000. The number of zeros tells you how many places to move!

What if I need to add zeros at the end?

Sometimes you need to add zeros as placeholders. For example: $1.5 \times 100 = 150.0 = 150$ . The zeros fill empty place values.

Can I use this trick for dividing by 10 too?

Yes! When dividing by 10, move the decimal point one place to the left. It's the opposite direction of multiplication.

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