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Grade 7:  The Learning Equation Math

11.02 Expanded Notation and Decimals

 Number Concepts Refresher pp 4-5

Key Objectives:

The student will:

 Whole Number Expanded Numeral Expanded Numeral using Powers of 10 5 5 x 1 5 x 10o 56 5 x 10 + 6 x 1 5 x 101 + 6 x 10o 567 5 x 100 + 6 x 10 + 7 x 1 5 x 102 + 6 x 101 + 7 x 10o 5678 5 x 1000 + 6 x 100 + 7 x 10 + 8 x 1 5 x 103 + 6 x 102 + 7 x 101 + 8 x 10o

 Standard Form Expanded Form (Powers of 10) Word Form 5.4 5 x 10o + 4 x 0.1 five and four tenths 56.25 5 x 101 + 6 x 10o + 2 x 0.1 + 5 x 0.01 fifty-six and twenty-five hundredths 956.7 9 x 102 + 5 x 101 + 6 x 10o + 7 x 0.1 nine hundred fifty-six and seven tenths 456.789 4x102 + 5x101 + 6x10o + 7x0.1 + 8x0.01 + 9x0.001 four hundred fifty-six and seven hundred eighty-nine thousandths

 Standard Name Abacus Representation Expanded Numeral using Powers of 10 3424 Your browser does not support Java. 3 x 103 + 4 x 102 + 6 x 101 + 2 x 100 123 456 Your browser does not support Java. 1 x 105 + 2 x 104 + 3 x 103 + 4 x 102 + 5 x 101 + 6 x 100 source:  The Abacus: Introduction

Quia - Matching - Read That Number!

Review:

 Term Example(s) Explanation standard form 5, 255, 3459 The standard form is the normal symbol we write for a number exponent 23, 34, 46, 54, 65 the exponent is the number of times the base is multiplied by itself base the base is the number being multiplied power 54 the result of multiplying a number by itself one or more times power of 10 101, 102, 103, 104 the base of the power is 10 coefficient 4 x 10315 x 42 the number before the times sign in a term where a number is being multiplied by a power expanded numeral 5 x 102 x 100 + 5 x 10 + 5 x 1 3 x 1000 + 4 x 100 + 5 x 10 + 9 x 1 The expanded form shows the value of each digit of a number in standard form. expanded numeral powers of 10 5 x 10o2 x 102 + 5 x 101 + 5 x 10o 3 x 103 + 4 x 102 + 5 x 101 + 9 x 10o The expanded form shows the value of each digit of a number in standard form using a power of 10.

Enrichment:

 Key Terms: A-E F-J K-O P-R S-Z

standard form, expanded form, coefficient, power of 10, exponent

Prerequisite Skills:

Place Value!

Powers and Exponents:  Grade 7 Lesson 11.01

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