Place Value and Digit Value Worksheet for 11-Year-Olds | Math Practice

Instructions

Welcome, Math Detective! Your mission is to solve the mysteries of numbers. Remember these two key clues:

• Place Value is the position a digit holds in a number (e.g., the tens place, the hundred thousands place, the tenths place).
• Digit Value is how much a digit is worth because of its position (e.g., in the number 280, the digit 2 has a value of 200).

Use these clues to crack the codes below!

Part 1: What's My Place?

For each number below, write the place value of the underlined digit.

1. 5,491,823 → _________________________
2. 27,054,691 → _________________________
3. 984,345 → _________________________
4. 6,170.35 → _________________________
5. 430,991,542 → _________________________
6. 12.07 → _________________________

Part 2: What's My Value?

For each number below, write the value of the underlined digit.

1. 6,721,800 → _________________________
2. 10,594 → _________________________
3. 8,123,456 → _________________________
4. 45,032.1 → _________________________
5. 3,050,211 → _________________________
6. 91.46 → _________________________

Part 3: Number Builder

Use the clues to build the correct number on the line.

1. Write a seven-digit number that has a 4 in the millions place, a 6 in the thousands place, and an 8 in the tens place. (The other digits can be whatever you like!)
   _________________________


2. What number is made up of 3 hundred thousands, 7 thousands, 4 hundreds, and 5 ones?
   _________________________


3. I am a number with a 9 in the ten thousands place, a 2 in the hundreds place, and a 1 in the tenths place. All other digits are 0. What number am I?
   _________________________

Part 4: Value Challenge

Think carefully to solve these problems!

1. In the number 9,999, how many times greater is the value of the underlined 9 than the value of the 9 in the ones place?
   _________________________


2. What is the difference between the value of the digit 5 in 5,400,000 and the value of the digit 4 in the same number?
   _________________________

Answer Key

Part 1: What's My Place?

1. Hundreds
2. Ten millions
3. Tens
4. Tenths
5. Ten millions
6. Hundredths

Part 2: What's My Value?

1. 700,000
2. 90
3. 8,000,000
4. 0.1 (or 1/10)
5. 50,000
6. 0.06 (or 6/100)

Part 3: Number Builder

1. Example Answer: 4,006,080 (Any number starting with 4, having a 6 in the thousands place, and an 8 in the tens place is correct).
2. 307,405
3. 90,200.1

Part 4: Value Challenge

1. 1,000 times greater (The value is 9,000, which is 1,000 times greater than 9).
2. 4,600,000 (The value of the 5 is 5,000,000. The value of the 4 is 400,000. The difference is 5,000,000 - 400,000 = 4,600,000).