Back to Exercise: Expanded Form Using Indices

Exercises: Expanded Form Using Indices

Work through each section in order. Write your answers using index notation ( $10^n$ ) where the problem asks for it, and plain (standard) numbers otherwise.

Grade 7·18 problems·~30 min·Uganda NCDC Primary 7 Mathematics·lesson·operations-02

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Recall / Warm-Up

These problems review skills from earlier lessons on place value and powers of a base.

$Place value chart showing the digits 3, 7, 0, 5 in the thousands, hundreds, tens, and ones columns$

In the place value chart, which column holds the digit 7 in the number $3{,}7\,05$ ? Give the place value of that column as an ordinary number.

Following the pattern $10^3 = 1000$ , $10^2 = 100$ , $10^1 = 10$ , what is $10^0$ ?

$1$

$0$

$10$

Write $10 \times 10 \times 10 \times 10$ as a single power of 10 using index notation.

Fluency Practice

Evaluate $10^5$ as an ordinary number.

$100{,}000$

$50$

$10{,}000$

$0$

$Table of powers of 10 from 10^0 to 10^7 with the value of 10^6 left blank$

Using the powers-of-10 table, evaluate $10^6$ as an ordinary number.

Which term correctly expands the digit 8 in the number $806$ ?

$8 \times 10^2$

$8 \times 10^8$

$8 \times 10^3$

$8 \times 10^1$

Write $4{,}072$ in expanded form using powers of 10. Write only the non-zero terms, joined with $+$ .

Complete the expanded form of $5{,}403$ : $(5 \times 10^3) + (4 \times 10^2) + (\_\_\_ \times 10^1) + (3 \times 10^0)$ .

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