Mathematics Grade 6 15 min

Word names for numbers

Word names for numbers

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Introduction & Learning Objectives

Learning Objectives Identify the place value of each digit in whole numbers up to the billions period. Write any whole number up to the billions period in its correct word form. Convert whole numbers given in word form back into standard numerical form. Apply correct punctuation, including commas and hyphens, when writing word names for numbers. Understand and correctly use the period names (thousands, millions, billions) in word names. Distinguish between the appropriate use of 'and' for decimals versus its exclusion in whole number word names. Ever wonder how we read really big numbers like the national debt or the population of a country? 🌍 It's not just about saying the digits! In this lesson, you'll learn the systematic way to write and read whole...
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Key Concepts & Vocabulary

TermDefinitionExample Whole NumbersThe set of non-negative integers (0, 1, 2, 3, ...). They do not include fractions or decimals.15, 200, 3,456 are all whole numbers. Place ValueThe value represented by a digit in a number, determined by its position.In the number 5,432, the digit '5' is in the thousands place, so its value is 5,000. PeriodsGroups of three digits in a large number, starting from the right, separated by commas. Each period has a specific name (ones, thousands, millions, billions).In 123,456,789, '789' is the ones period, '456' is the thousands period, and '123' is the millions period. Standard FormThe common way of writing numbers using digits (e.g., 123,456).The standard form of 'seven million, eight hundred ninety thousand, on...
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Core Formulas

Rule for Grouping Digits by Periods `..., B_3 B_2 B_1, M_3 M_2 M_1, T_3 T_2 T_1, O_3 O_2 O_1` To write a number in word form, first group its digits into periods of three, starting from the right. Separate these periods with commas. Each period (except the ones period) is named after its place value (thousands, millions, billions, etc.). Rule for Naming Numbers within a Period `[Hundreds Value] [Tens-Ones Value] [Period Name]` Read the number formed by the three digits in each period as if it were a standalone number (0-999). Then, append the period name (e.g., 'million', 'thousand'). The 'ones' period does not get a name. Rule for Hyphens and Commas `[Tens]-[Ones]` for 21-99 (non-multiples of 10); `[Period Name],` Use a hyphen for compo...

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Sample Practice Questions

Challenging
A number is described with the following parts: 'four hundred two', 'nine million', and 'sixty-three thousand'. What is the number in standard form?
A.9,063,402
B.9,630,402
C.402,063,009
D.9,402,063
Challenging
A company's profit was $10,000,000. After paying $250,050 in taxes, what is the remaining amount in correct word form?
A.Nine million, seven hundred forty-nine thousand, nine hundred fifty
B.Nine million, seven hundred forty nine thousand, nine hundred and fifty
C.Nine million, seven hundred fifty thousand, fifty
D.Ten million minus two hundred fifty thousand fifty
Challenging
Which of the following numbers is the largest?
A.One billion, nine hundred ninety-nine million
B.Two billion, one hundred thousand
C.Two billion, one million
D.One billion, nine hundred million, ninety-nine thousand

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