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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A

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
1.

In the place value chart, which column holds the digit 7 in the number 3,7053{,}7\,05? Give the place value of that column as an ordinary number.

2.

Following the pattern 103=100010^3 = 1000, 102=10010^2 = 100, 101=1010^1 = 10, what is 10010^0?

3.

Write 10×10×10×1010 \times 10 \times 10 \times 10 as a single power of 10 using index notation.

B

Fluency Practice

1.

Evaluate 10510^5 as an ordinary number.

Table of powers of 10 from 10^0 to 10^7 with the value of 10^6 left blank
2.

Using the powers-of-10 table, evaluate 10610^6 as an ordinary number.

3.

Which term correctly expands the digit 8 in the number 806806?

4.

Write 4,0724{,}072 in expanded form using powers of 10. Write only the non-zero terms, joined with ++.

5.

Complete the expanded form of 5,4035{,}403: (5×103)+(4×102)+(___×101)+(3×100)(5 \times 10^3) + (4 \times 10^2) + (\_\_\_ \times 10^1) + (3 \times 10^0).

coefficient of 10^1:

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