Ch 1--Powers of 10, Expanded Notation, Place Value

8 x 10³ =

• 80,000

• 8,000

• 800

• 800,000

Answer explanation

This is the same as 8 x 10 x 10 x 10; 8 x 1000

In the expression, 5³ the "5" is called the...

• base

• exponent

Answer explanation

The base is written in a larger-sized font; it is the number that is going to be multiplied repeatedly; this expression means: 5 x 5 x 5

In the expression, 5³ the "3" is called the...

• base

• exponent

Answer explanation

The 3 is a superscript because it is above the base number ("up in the air"); its purpose is to tell how many times the base number will be repeatedly multiplied; this expression means 5 x 5 x 5= 125

Choose ALL that are TRUE:

• 90,000= 9x10,000

• 90,000=9x1,000

• 90,000=9x10⁴

• 90,000=10⁴

What is the value of the underlined digit: 3,152,308

• 5

• 10,000

• 50,000

Answer explanation

5 x 10,000 = 50,000

What is the place value name for the location of the 7? 2,346.7

• tens

• oneths

• tenths

Answer explanation

The first place value to the right of the decimal is called "tenths"

What is the place value name for the 3? 24.013

• thousandths

• thousands

• hundredths

Answer explanation

The first place to the right of the decimal is the tenths, the second place to the right is the hundredths, and the third place to the right is the thousandths.

What is the standard form for this expanded form expression?

(9 x 10³ ) + (3 x 10¹ ) + (1 x 1/10) + (5 x 1/100)

• 90,300.015

• 9,030.15

• 9,303.15

Answer explanation

You MUST read carefully and think of it as one long multiplication and addition problem. Drawing place value spaces or lines and then filling in with numbers might be helpful to you.

Any number raised to the zero power (ex: 2⁰ 10⁰ 234⁰ ) ALWAYS equals

• itself

• zero

• one

Answer explanation

Remember that "1" is a factor for any multiplication problem. Therefore, a number raised to a zero power has a 1 with no repeats of the base. Example: 5³ is equivalent to 1 x 5 x 5 x 5

5⁰ is equivalent to 1 x no 5s repeated, therefore only 1 is listed

What is 0.009 in fraction form?

• 9/100

• 9/1,000

• 9/10,000