6.03 Powers of 10 with decimals
Are you ready?
We have learned how to multiply and divide whole numbers by $10$10 and can relate this to place value. Let's try this problem to practice.
Complete these number sentences.
$8\times10=\editable{}$8×10=
$80\times10=\editable{}$80×10=
$800\times10=\editable{}$800×10=
$8000\times10=\editable{}$8000×10=
Learn
This video looks at what happens to numbers with decimals when we multiply by $10$10 or $100$100.
Another word that we can use to describe the ones place is 'units', which can be represented by 'U' in a place value table.
Apply
Question 1
Find the value of $11.52\times100$11.52×100.
Learn
This video looks at what happens to numbers with decimals when we divide by $10$10 or $100$100.
Apply
Question 2
Find the value of $149.3\div100$149.3÷100.
Learn
This video looks at what we can do when multiplying and dividing by $10000$10000.
Apply
Question 3
Find the value of $39.03\times10000$39.03×10000.
The powers of $10$10 to remember are: $10$10, $100$100, $1000$1000 and $10000$10000.
When you multiply or divide by a power of $10$10, each digit of your number is increased or decreased by that value, and moves up or down by as many place value positions as there are zeros.