Reading & Writing Numbers
Expanded From
Powers of 10
Scientific Notation
Real-World Problems
100

Write 8,000,456 in words.

What is “eight million, four hundred fifty-six”?

100

Write 3,405 in expanded form (sum of digits).

What is 3,000 + 400 + 5?

100

 What is 10³?

What is 1,000?

100

Write 18,070,000,000 in scientific notation.

What is 1.807×10¹⁰?

100

 Emma babysits for 3 hours a day at $15/hr for 3 years. How much does she earn? (in scientific notation)

 What is $4.9275×10⁴?

200

What is the standard form of “two hundred five billion, seven hundred eighty-nine million, four hundred seventy-two thousand forty”?

What is 205,789,472,040?

200

Write 45,098,200,350 in expanded form (sum of digits).

What is 40,000,000,000 + 5,000,000,000 + 90,000,000 + 8,000,000 + 200,000 + 300 + 50?

200

How many zeros are in 10⁶?

 What is 6 zeros?

200

Write 2,104,000 in scientific notation.

What is 2.104×10⁶?

200

How many minutes has a 4-year-old been alive?

 What is 2,102,400 minutes?

300

Which “periods” are in the number 9,030,000,000,000?

What are trillions and billions?

300

Write 45,098,200,350 using powers of ten.

What is 4×10¹⁰ + 5×10⁹ + 9×10⁷ + 8×10⁶ + 2×10⁵ + 3×10² + 5×10¹?

300

Write 81,100,055 in expanded form using powers of ten.

What is 8×10⁷ + 1×10⁶ + 1×10⁵ + 5×10¹ + 5×10⁰?

300

Convert 5.7×10⁻⁵ to standard form.

What is 0.000057?

300

Is 1.38×10¹² greater than 14.6 trillion?
 

No, it is smaller (1.38 trillion < 14.6 trillion).

400

Write “fifty-three trillion, six hundred four million, seventy-two” in standard form.

What is 53,000,604,000,072?

400

 Write 91,013 in expanded form using multiplication.

What is 9×10,000 + 1×1,000 + 1×10 + 3×1?

400

What is 10² × 10³?

What is 10⁵ (or 100,000)?

400

What does a negative exponent in scientific notation mean?

That the number is less than 1 (move the decimal to the left).

400

 The fastest wing beat of a hummingbird is 80 beats per second. How many beats in one hour? (scientific notation)

 What is 2.88×10⁵ beats?

500

Rewrite 6,000,587,004,073,000 in words.

What is “six quadrillion, five hundred eighty-seven billion, four million, seventy-three thousand”?

500

Explain why we don’t write ×10¹ when writing numbers in expanded form.

Because any number to the power of 1 is just itself (it doesn’t change the value).

500

Explain what a negative exponent means.

It means you divide by the power of ten (the number becomes smaller, creating decimals).

500

Write 115,800,000,000,000 in scientific notation.

 What is 1.158×10¹⁴?

500

Approximately how many years is 800 million seconds?

What is about 25 years?

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