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Course: Arithmetic>Unit 5

Lesson 5: How 10 relates to place value

Multiplying whole numbers by 10

Lindsay finds a pattern from multiplying whole numbers by 10.

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• So 10 to the 6th power would be 10 with 6 zeros?
• 10^6 = 1,000,000 (1 million). Thus, 1 million contains 6 zeroes.
• So if I want to multiply by 100, do I add 2 zeros?
• you don't add you place two zeros.
• So 15x10=150
And so 121212x10=1212120
• That's right! To multiply any number by ten, just move the decimal point one place to the right.
• so u just add a zero to the number?
• Yes we can always add a zero, to multiply any whole number by 10.

But when we multiply a decimal by 10, we have to be more careful. For example, 3.5 times 10 is certainly not 3.50, because 3.5 is the same thing as 3.50. If we want to multiply 3.5 by 10, we would need to move the decimal point one place to the right, to get 35.

The idea is that when we multiply any whole number or decimal by 10, we need the place values of the digits to each be multiplied by 10.
• we have bigger numbers to times by ten
not little numbers.
• yes, for example 64,822,772 times ten is 648,227,720
• So 10 to the 6th power would be 10 with six zeros
• at why does it move EVERY place value to the left
• Because,that is just how it works.