Multiplying by Powers of 10
What is 60?
80 ÷ 10 =
What is 8?
102 =
(in standard form)
What is 100?
500 ÷ 102 =
What is 5?
7 x 102 =
What is 70?
3.2 x 100 =
What is 320?
450 ÷ 10 =
What is 4.5?
Write 104 in expanded form.
What is 10 x 10 x 10 x 10?
3,400 ÷ 103 =
What is 3.4?
4.2 x 103 =
What is 4,200?
Which power of 10 completes the equation?
0.45 x ____ = 450
What is 1,000?
Which base 10 number completes the equation?
72 ÷ ___ = 0.072
What is 1,000?
Write 1,000 with an exponent.
What is 103?
82 ÷ 103 =
What is 0.082?
0.65 x 103 =
What is 650?
0.082 x 10,000 =
820
3900 ÷ 10,000 =
What is 0.39?
Express 102 power in standard and expanded form.
What is 100 and 10 x 10?
610,000 ÷ 104 =
What is 61?
0.083 x 104 =
What is 830?
These two equations equal the exact same answer: 52 x 100 and 52,000 ÷ 10. Why?
Because multiplying 52 by 100 shifts the digits two place values to the left, and dividing 52,000 by 10 shifts one place value to the right, landing on the same product/quotient.
A school factory produces 4,500 pencils every hour and packs them equally into 100 boxes. If a store orders 10 of these boxes, what is the total number of pencils they will receive?
What is 450 pencils?
What does the exponent in a power of 10, like 103, tell us? Think about expanded form and standard form.
What is the exponent tells you how many times 10 is multiplied by itself in expanded form, and how many zeros follow the 1 in standard form?
When dividing a number by 103, explain what the exponent tells you about shifting place values.
What is the exponent tells you to shift the digits 3 place values to the right?
When multiplying a decimal by 102, explain what the exponent tells you about shifting place values.
What is the exponent tells you to shift the digits 2 place values to the left?