Mathematics
Grade 3
15 min
Convert between place values
Convert between place values
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1
Introduction & Learning Objectives
Learning Objectives
Identify the value of a digit in a number up to the thousands place.
Explain that a digit in one place represents ten times what it represents in the place to its right.
Convert a number of tens into the equivalent number of ones (e.g., 4 tens = 40 ones).
Convert a number of hundreds into the equivalent number of tens (e.g., 3 hundreds = 30 tens).
Express a three-digit number in different ways using place value (e.g., 250 is 2 hundreds and 5 tens, or 25 tens).
Solve simple word problems that require converting between place values.
Have you ever traded 10 pennies for a dime? 🪙 You were converting between place values without even knowing it!
In this lesson, we will learn how to trade, or 'convert', between ones, tens, and hundreds. This is a s...
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Key Concepts & Vocabulary
TermDefinitionExample
Place ValueThe value of a digit based on its position or 'place' in a number.In the number 472, the digit 7 is in the tens place, so its value is 70.
DigitAny of the numerals from 0 to 9 that are used to build numbers.The number 381 has three digits: 3, 8, and 1.
Ones PlaceThe place on the far right in a whole number. It tells you how many single units you have.In the number 125, the 5 is in the ones place.
Tens PlaceThe place to the left of the ones place. It tells you how many groups of ten you have.In the number 125, the 2 is in the tens place, which means 2 tens or 20.
Hundreds PlaceThe place to the left of the tens place. It tells you how many groups of one hundred you have.In the number 125, the 1 is in the hundreds place, which means 1 hundred or 100...
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Core Formulas
Tens to Ones Conversion
1 \text{ ten} = 10 \text{ ones}
To find out how many ones are in a certain number of tens, you multiply the number of tens by 10. For example, 6 tens is the same as 6 x 10 = 60 ones.
Hundreds to Tens Conversion
1 \text{ hundred} = 10 \text{ tens}
To find out how many tens are in a certain number of hundreds, you multiply the number of hundreds by 10. For example, 5 hundreds is the same as 5 x 10 = 50 tens.
Thousands to Hundreds Conversion
1 \text{ thousand} = 10 \text{ hundreds}
To find out how many hundreds are in a certain number of thousands, you multiply the number of thousands by 10. For example, 2 thousands is the same as 2 x 10 = 20 hundreds.
4 more steps in this tutorial
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Challenging
I am a number. I have 42 hundreds, 15 tens, and 6 ones. What number am I?
A.4,261
B.5,706
C.4,356
D.4,215.6
Challenging
A library received 30 boxes of books. Each box holds 100 books. They also received 8 packs with 10 books each. How many books did the library receive in total?
A.3,080
B.380
C.3,800
D.3,008
Challenging
If you have 4,500 ones, how many hundreds do you have?
A.45
B.450
C.4
D.500
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