Mathematics Grade 5 15 min

Convert to/from a number - up to hundreds

Convert to/from a number - up to hundreds

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Introduction & Learning Objectives

Learning Objectives Identify numbers written in standard form up to hundreds. Identify numbers written in word form up to hundreds. Identify numbers written in expanded form up to hundreds. Convert numbers from standard form to word form (up to hundreds). Convert numbers from word form to standard form (up to hundreds). Convert numbers from standard form to expanded form (up to hundreds). Convert numbers from expanded form to standard form (up to hundreds). Have you ever seen a number written in different ways, like 'one hundred' or '100'? 🤔 Let's unlock the secrets of how numbers can transform! In this lesson, you will learn how to convert numbers up to hundreds between their standard form (using digits), word form (using words), and expanded fo...
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Key Concepts & Vocabulary

TermDefinitionExample Standard FormThe usual way we write numbers using digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9).The number 345 is in standard form. Word FormWriting a number using words, spelling out each part of its value.The word form of 345 is 'three hundred forty-five'. Expanded FormBreaking down a number to show the value of each digit based on its place value, usually as a sum.The expanded form of 345 is $300 + 40 + 5$. Place ValueThe value of a digit based on its position in a number (e.g., ones, tens, hundreds).In the number 278, the digit '2' has a place value of hundreds. Hundreds PlaceThe position of a digit that represents groups of one hundred. It is the third digit from the right in a whole number.In 521, the digit '5' is in the hundreds place, re...
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Core Formulas

Standard to Expanded Form Rule $N = (d_2 \times 100) + (d_1 \times 10) + (d_0 \times 1)$ To convert a number from standard form to expanded form, identify each digit's place value ($d_2$ for hundreds, $d_1$ for tens, $d_0$ for ones) and write it as a sum of its multiplied place values. Expanded to Standard Form Rule $N = \text{sum of all place value components}$ To convert a number from expanded form to standard form, simply add all the given place value components together. Standard to Word Form Rule Read the digits from left to right, stating the value of each place. To convert a number from standard form to word form, read the number aloud as you normally would, then write down the words you say. Remember to use hyphens for numbers between twenty-one and nine...

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Sample Practice Questions

Challenging
Start with the number represented by 400 + 80 + 1. Swap the digit in the hundreds place with the digit in the ones place. What is the new number in standard form?
A.184
B.841
C.148
D.418
Challenging
A student tried to write 'Three hundred fifty' in expanded form and wrote 300 + 5. What was their mistake?
A.They confused the hundreds place and the tens place.
B.They wrote the value of the tens place digit as if it were in the ones place.
C.They forgot to include the digit from the hundreds place.
D.They should have written 3 + 5 + 0.
Challenging
I am a 3-digit number. My hundreds digit is 7. My ones digit is 4 less than my hundreds digit. My tens digit is the sum of my hundreds and ones digits, minus 8. What is my number in word form?
A.Seven hundred twenty-three
B.Seven hundred thirty-two
C.Seven hundred twenty-four
D.Seven hundred thirty-three

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