Place Value and Exponents Worksheet

Which number has a 2 in the tens place?

• 0.26

• 2.09

• 3.726

• 425.9

A jar holds 325.6 grams of sugar. If the amount is multiplied by 10, what will the new value be? If the original amount is divided by 100, what will the new value be?

• 3,256 grams and 3.256 grams

• 32.56 grams and 3,256 grams

• 325.6 grams and 0.3256 grams

• 325,600 grams and 32.56 grams

In the number 47,600, what is the value of the digit 7?

• 7,000

• 700

• 70,000

• 70

Write 4,500 in exponential form.

• 4 × 10² + 5 × 10¹

• 4 × 10³ + 5 × 10²

• 45 × 10²

• 4.5 × 10³

Which of the following shows 345.6 in expanded form with exponents?

• (3 × 10²) + (4 × 10¹) + (5 × 10⁰) + (6 × 10⁻¹)

• (3 × 10³) + (4 × 10²) + (5 × 10¹) + (6 × 10⁰)

• (3 × 10²) + (4 × 10⁰) + (5 × 10⁻¹) + (6 × 10⁻²)

Which number is 10 times as much as 8,000?

• 80

• 800

• 80,000

• 800,000

Which number is written in standard form?

• 3 × 10³ + 5 × 10² + 7 × 10¹

• Thirty-five hundred seventy

• 3,570

• 35.70

Which is the correct expanded form of 246.85?

• (2 × 100) + (4 × 10) + (6 × 1) + (8 × 0.1) + (5 × 0.01)

• (2 × 10) + (4 × 1) + (6 × 0.1) + (8 × 0.01) + (5 × 0.001)

• (2 × 1,000) + (4 × 100) + (6 × 10) + (8 × 1) + (5 × 0.1)

• (2 × 100) + (4 × 1) + (6 × 0.01) + (8 × 0.1) + (5 × 0.001)

How many times greater is the digit 6 in the tenths place than the digit 3 in the hundredths place?

• 6 times

• 10 times

• 20 times

• 60 times

For the number 9,2_5.3, what digit should go in the blank to complete the expanded form: (9 × 1,000) + (2 × 100) + (___ × 10) + (5 × 1) + (3/10)?

• 1

• 2

• 4

• 5