Place Value Flashcards
Free place value flashcards covering digits, whole-number places, decimal places, rounding, expanded form and comparing numbers. Flip each card, say the answer first, then mark what you know and drill what you miss.
Keys: Space or Enter flips, arrow keys move, K marks known, R marks review. No sign-up and nothing is stored.
How to study with these place value flashcards
- Read the front of the card and say or write your answer before you flip it.
- Flip the card, then mark I know this only if you were right without hesitating.
- Mark Review again for anything you missed, then use Review missed only to drill those cards.
- Pick one topic at a time, then shuffle all topics for a mixed review.
Study tips for place value
Do short rounds of 10 to 15 cards. Say the answer out loud before you flip, then use Review missed only until the pile is empty. Come back the next day: spacing your practice beats one long session.
All 36 cards at a glance
Every card is also listed below so you can scan, print or review without the viewer.
Whole number places
| Question | Answer |
|---|---|
| What is place value | The value of a digit based on its position in a number. In 3,482 the 4 is in the hundreds place, so it is worth 400. |
| What are the places in 1,234,567 from the left | Millions (1), hundred thousands (2), ten thousands (3), thousands (4), hundreds (5), tens (6), ones (7). |
| What is the value of the 7 in 4,732 | 700 (the 7 is in the hundreds place). |
| How many ones are in one ten | 10. |
| How many tens are in one hundred | 10. |
| How many hundreds are in one thousand | 10. |
| What digit is in the ten thousands place of 58,314 | 5. |
| What is standard form | The usual way to write a number with digits, such as 4,205. |
| What is word form of 4,205 | Four thousand, two hundred five. |
| What is expanded form of 4,205 | 4,000 + 200 + 5. |
| How do you read 3,000,450 | Three million, four hundred fifty. |
| What does a zero do in a number | It holds a place. In 4,205 the 0 shows there are no tens. |
| How does a digit’s value change when it moves one place left | It becomes 10 times as large. |
| How does a digit’s value change when it moves one place right | It becomes one tenth as large. |
Decimal places
| Question | Answer |
|---|---|
| What is the first place right of the decimal point | Tenths. |
| Name the decimal places in 0.1234 | Tenths (1), hundredths (2), thousandths (3), ten-thousandths (4). |
| What is the value of the 6 in 0.46 | 6 hundredths, or 0.06. |
| What is the value of the 3 in 5.037 | 3 hundredths, or 0.03 (the 0 is in the tenths place). |
| Write 0.305 in words | Three hundred five thousandths. |
| Write 12.04 in expanded form | 10 + 2 + 0.04. |
| How do you read the decimal point in a number | As "and". 12.5 is twelve and five tenths. |
| Do trailing zeros change a decimal’s value | No. 0.50 = 0.5. |
| How many tenths are in 1 | 10. |
| How many hundredths are in 1 tenth | 10. |
Comparing and rounding
| Question | Answer |
|---|---|
| How do you compare two whole numbers | Compare digits from the left. The first place where they differ decides which is greater. |
| Which is greater, 4,589 or 4,598 | 4,598 (the hundreds digits tie at 5; in the tens place 9 beats 8). |
| What do the symbols < and > mean | < means less than; > means greater than. The open side faces the larger number. |
| How do you compare decimals | Line up the decimal points, add zeros if needed, then compare from the left. 0.7 > 0.65 because 0.70 > 0.65. |
| What is the rounding rule | Look at the digit to the right of the place you round to. If it is 5 or more, round up; if 4 or less, keep the digit. |
| Round 3,468 to the nearest hundred | 3,500. |
| Round 3,468 to the nearest ten | 3,470. |
| Round 6.738 to the nearest tenth | 6.7. |
| Round 6.738 to the nearest hundredth | 6.74. |
| Round 2,500 to the nearest thousand | 3,000 (a 5 rounds up). |
| How do you order numbers from least to greatest | Compare place by place from the left, then list the smallest first. |
| What is scientific notation for 45,000 | 4.5 × 10^4. |
Frequently asked questions
What is place value in math?
Place value is the value a digit has because of where it sits in a number. The 5 in 5,000 is worth 5,000, but the 5 in 50 is worth only 50.
Why does place value matter?
It is the base of addition with regrouping, comparing numbers, decimals and rounding. Most arithmetic mistakes in later grades trace back to place value.
What grade learns place value?
Whole-number place value starts in Grades 1 to 2 and extends to decimals in Grades 4 to 5.
Sources
More free math flashcards
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