Mathematics Grade 6 15 min

Place value names up to hundred thousands

Place value names up to hundred thousands

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Introduction & Learning Objectives

Learning Objectives Identify the place value of each digit in a whole number up to hundred thousands. Read and write whole numbers up to hundred thousands in standard form. Read and write whole numbers up to hundred thousands in word form. Read and write whole numbers up to hundred thousands in expanded form. Determine the value of a digit based on its place in a number up to hundred thousands. Correctly use commas to separate periods in numbers up to hundred thousands. Ever wondered how we can tell the difference between $500 and $50,000 just by looking at the numbers? 💰 It's all thanks to place value! In this lesson, you'll discover the power of place value, learning how to name and understand numbers up to the hundred thousands. This skill is fundamental for e...
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Key Concepts & Vocabulary

TermDefinitionExample Place ValueThe position of a digit in a number that determines its value.In the number 345, the digit '3' is in the hundreds place, giving it a value of 300. DigitA single symbol used to write numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9).In the number 789, the digits are 7, 8, and 9. Standard FormThe usual way of writing numbers using digits.The number one hundred twenty-three thousand, four hundred fifty-six is written as 123,456 in standard form. Word FormWriting a number using words.The number 123,456 in word form is 'one hundred twenty-three thousand, four hundred fifty-six'. Expanded FormWriting a number as the sum of the values of its individual digits.The number 123,456 in expanded form is 100,000 + 20,000 + 3,000 + 400 + 50 + 6. PeriodsGroups of...
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Core Formulas

Place Value Chart Progression Each place value to the left is 10 times greater than the place value immediately to its right. This rule helps you understand the multiplicative relationship between adjacent place values. For example, the tens place is 10 times the ones place, and the hundreds place is 10 times the tens place. Reading Numbers in Periods To read a large number, read the number in each period (group of three digits) as if it were a number by itself, then say the period name (except for the ones period). This rule simplifies reading large numbers by breaking them into manageable chunks. For example, for 472,905, you read 'four hundred seventy-two' for the thousands period, then 'thousand', and then 'nine hundred five' for the ones pe...

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Sample Practice Questions

Challenging
A number is written in expanded form as (5 x 100,000) + (6 x 10,000) + (2 x 100) + (9 x 1). What is this number in standard form?
A.56,290
B.560,290
C.560,209
D.506,209
Challenging
The value of digit A is 400,000. The value of digit B is 40. The digit in the thousands place is the sum of the non-zero digits in the values of A and B. If all other digits in this 6-digit number are 1, what is the number?
A.418,141
B.481,141
C.414,141
D.118,141
Challenging
How does the value of the digit 5 change as it moves from the thousands place to the ten thousands place?
A.Its value becomes 100 times greater.
B.Its value becomes 10 times smaller.
C.Its value becomes 1,000 times greater.
D.Its value becomes 10 times greater.

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