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1.06 Powers of 10

Lesson

Are you ready?

Let's remember how the numbers are affected when we multiply and divide by $10$10.

What is $96\times10$96×10?

Vocabulary:

Another word that we can use to describe the ones place is 'units'.

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Question 1

Fill in the boxes with the missing numbers.

  1. $7\times\editable{}=700$7×=700

  2. $7\times\editable{}=70$7×=70

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Question 2

Solve $3700\div100$3700÷​100.


 

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Exponent notation

An exponent (or power) is a small number placed in the upper right hand corner of another number to note how many times a base is being multiplied by itself.

For example, in the expression $10^3$103 the number $10$10 is the base term and the number $3$3 is the exponent (or power). The expression $10^3$103 is the same as $10\times10\times10$10×10×10, or the number $10$10 multiplied $3$3 times.

Think of the base as that being closest to the ground, and the exponent (or power) is above.

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Question 3

Rewrite $1000$1000 using an exponent.

 

Remember!

When we are multiplying our number by $10$10, it's the same as moving each of the digits to the left one place value position.  Doing this will mean we also add a zero to the number as a zero place-holder.

We do the opposite for division, so when we divide by $10$10, we move each of the digits one place value to the right,  just like this example.

 

Outcomes

5.NBT.2

Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

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