Question: Why Is Dividing By 0.1 The Same As Multiplying By 10?

What is the rule for dividing by 10?

Here’s the rule for dividing by 10: move the decimal point one place to the left.

Place value is the value of a digit based on its location in the number.

Beginning with a decimal point and moving left, we have the ones, tens, hundreds, thousands, ten thousands, hundred thousands, and millions.

We could go on forever!.

What does 10 to the power of 8 mean?

108. 100,000,000. “ten to the eight” billion.

Why do you move the decimal in multiplication?

Move the decimal point two places to the right to find the product. To multiply a decimal number by a power of ten (such as 10, 100, 1,000, etc.), count the number of zeros in the power of ten. … The multiplier 100 has two zeros, so you move the decimal point in 0.054 two places to the right—for a product of 5.4.

How do you explain dividing by 100?

Dividing by 1, 10 or 100When you divide by 1 the answer stays the same. 21 ÷ 1 = 21.When you divide by 10, move all the digits one place to the right. 210 ÷ 10 = 21.When you divide by 100, move all the digits two places to the right. 2100 ÷ 100 = 21.

What happens to the digits when you multiply by 10?

To multiply any number by 10, just tag ONE zero on the end. To multiply any number by 100, just tag TWO zeros on the end. To multiply any number by 1,000, just tag THREE zeros on the end. Note especially what happens when the number you multiply already ends in a zero or zeros.

What happens to the digits in a number when you divide by 10?

So what really happens when you divide by 10? Division is the inverse of multiplication. When you divide a number by 10, each digit moves one place to the right to make it 10 times smaller.

Why does multiplying by 10 move the decimal to the right?

When multiplying a decimal by 10 the amount of zeros increased from the right (naturally) making the decimal point go to the right. But when multiplying by 0.10 the zeros come from the left making the number decrease.

Is 0.1 and 0.01 the same?

0.01 has two significant decimal digits. … Therefore, 0.1 ,is padded with a trailing zero, making it 0.10, which gives it two decimal digits, the same as 0.01.

What should be done first in dividing decimals?

First, move the divisor’s decimal point to the right as many places as necessary to place it after the last digit and make it a whole number. Then, move the dividend’s decimal point the same number of places to the right. We can add a decimal point and zeroes after a whole number if necessary.

How do we multiply quickly decimals by 10 or 100 mentally?

To multiply a decimal by 10, move the decimal point in the multiplicant by one place to the right. Here we multiplied the number 834.7 by 10 so we move 1 place to the right. 2. To multiply a decimal by 100, move the decimal point in the multiplicant by two places to the right.

What are the four rules of decimals?

You should become efficient in using the four basic operations involving decimals—addition, subtraction, multiplication, and division.