Study Guides/Maths/Expand 1025.63 — Place Value Expansion
Study Guide Ā· Maths

Expand 1025.63 in Place Value Notation

To expand 1025.63 means to write it in expanded form by expressing each digit according to its place value. The number 1025.63 has digits in the thousands, hundreds, tens, ones, tenths, and hundredths places.

Question (Click to Flip)

Write the expanded form of 1025.63.

Answer

1025.63 = 1000 + 0 + 20 + 5 + 0.6 + 0.03 Or: (1 Ɨ 1000) + (0 Ɨ 100) + (2 Ɨ 10) + (5 Ɨ 1) + (6 Ɨ 0.1) + (3 Ɨ 0.01) The digit 1 is in the thousands place, 0 in hundreds, 2 in tens, 5 in ones, 6 in tenths, 3 in hundredths.

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Key Facts

Expanded form of 1025.63 = 1000 + 20 + 5 + 0.6 + 0.03.

1 is in the thousands place (value = 1000).

0 is in the hundreds place (value = 0).

2 is in the tens place (value = 20).

5 is in the ones place (value = 5).

6 is in the tenths place (value = 0.6 = 6/10).

3 is in the hundredths place (value = 0.03 = 3/100).

Expanded Form of 1025.63

Place Value Chart for 1025.63:

DigitPlaceValue
1Thousands1000
0Hundreds0
2Tens20
5Ones5
.Decimal Point—
6Tenths0.6
3Hundredths0.03

Expanded Form (Standard): 1025.63 = 1000 + 0 + 20 + 5 + 0.6 + 0.03

Or writing without zero: 1025.63 = 1000 + 20 + 5 + 0.6 + 0.03

Expanded Form using multiplication: 1025.63 = (1 Ɨ 1000) + (0 Ɨ 100) + (2 Ɨ 10) + (5 Ɨ 1) + (6 Ɨ 0.1) + (3 Ɨ 0.01)

Expanded Form using powers of 10: 1025.63 = (1 Ɨ 10³) + (0 Ɨ 10²) + (2 Ɨ 10¹) + (5 Ɨ 10⁰) + (6 Ɨ 10⁻¹) + (3 Ɨ 10⁻²)

More Practice — Expand Similar Numbers: • 2345.67 = 2000 + 300 + 40 + 5 + 0.6 + 0.07 • 100.05 = 100 + 0 + 0 + 0.0 + 0.05 • 5009.9 = 5000 + 0 + 0 + 9 + 0.9 • 3700.08 = 3000 + 700 + 0 + 0 + 0.0 + 0.08

Reading the Number: 1025.63 is read as: 'One thousand and twenty-five point six three' OR: 'One thousand, twenty-five and sixty-three hundredths'

Questions and Answers

Write the expanded form of 1025.63.+

1025.63 = 1000 + 0 + 20 + 5 + 0.6 + 0.03 Or: (1 Ɨ 1000) + (0 Ɨ 100) + (2 Ɨ 10) + (5 Ɨ 1) + (6 Ɨ 0.1) + (3 Ɨ 0.01) The digit 1 is in the thousands place, 0 in hundreds, 2 in tens, 5 in ones, 6 in tenths, 3 in hundredths.

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