Solve Decimal Multiplication: 1.14 × 10 Step-by-Step

Q: Why does multiplying by 10 move the decimal point?

Multiplying by 10 makes numbers ten times larger. Moving the decimal point right is a shortcut that achieves the same result as doing the full multiplication!

Q: What happens if I multiply by 100 or 1000?

The pattern continues! Multiply by 100 = move decimal 2 places right. Multiply by 1000 = move 3 places right. Count the zeros in the multiplier!

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

Add zeros as placeholders! For example, $ 2.5 \times 100 $ becomes 2.50, then move 2 places right to get 250.

Q: How can I check my answer without substituting back?

Use estimation! Since $ 1.14 $ is close to 1, and $ 1 \times 10 = 10 $, your answer should be close to 10. The answer 11.4 makes sense!

Q: Does this work for dividing by 10 too?

Yes, but move the decimal point left instead! Dividing by 10 makes numbers smaller, so $ 11.4 ÷ 10 = 1.14 $.

Decimal Multiplication with Powers of Ten

$1.14\times10=$

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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 by the number of 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

$1.14\times10=$

Step-by-step solution

To solve this problem, we aim to multiply the decimal number 1.14 by 10. When multiplying a decimal number by 10, we shift the decimal point one place to the right. Let's follow these steps to solve the problem:

Step 1: Identify the position of the decimal point in the number 1.14. It is currently between the digits 1 and 4.
Step 2: Shift this decimal point one position to the right as we are multiplying by 10. After shifting, the decimal point will be placed to the right of the digit 4.

Therefore, moving the decimal point one position to the right transforms 1.14 into 11.4.

Hence, the product of $1.14 \times 10$ is $11.4$ .

Final Answer

$11.4$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 10 shifts decimal point one place right
Technique: Move decimal in 1.14 from between 1 and 4 to after 4
Check: Count decimal places: 1.14 has 2, result 11.4 has 1 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point left when multiplying by 10 = 0.114! This gives a number smaller than the original instead of larger. Always move the decimal point to the right when multiplying by powers of 10.

Practice Quiz

Test your knowledge with interactive questions

$$ 20.1:10= $$

FAQ

Everything you need to know about this question

Why does multiplying by 10 move the decimal point?

Multiplying by 10 makes numbers ten times larger. Moving the decimal point right is a shortcut that achieves the same result as doing the full multiplication!

What happens if I multiply by 100 or 1000?

The pattern continues! Multiply by 100 = move decimal 2 places right. Multiply by 1000 = move 3 places right. Count the zeros in the multiplier!

What if there aren't enough digits after the decimal?

Add zeros as placeholders! For example, $2.5 \times 100$ becomes 2.50, then move 2 places right to get 250.

How can I check my answer without substituting back?

Use estimation! Since $1.14$ is close to 1, and $1 \times 10 = 10$ , your answer should be close to 10. The answer 11.4 makes sense!

Does this work for dividing by 10 too?

Yes, but move the decimal point left instead! Dividing by 10 makes numbers smaller, so $11.4 ÷ 10 = 1.14$ .

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