Testinar Grade 5 math

Multiplying Decimals

Students will multiply decimals using powers of ten, models, and whole-number reasoning.

CH03-02 Decimal Operations

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

What is \(4.7 \times 10\)?
1. 0.47
2. 4.7
3. 47
4. 470
What is \(0.45 \times 10\)?
1. 0.045
2. 45
3. 4.5
4. 450
What is \(0.45 \times 100\)?
1. 4.5
2. 450
3. 4500
4. 45
What is \(0.45 \times 1000\)?
1. 45
2. 450
3. 4500
4. 45000
The place-value chart shows a number. When multiplied by 10, the digit 3 moves from the tenths place to which place?
1. Thousandths
2. Tenths
3. Hundredths
4. Ones
What is \(2.13 \times 10\)?
1. 2.13
2. 213
3. 21.3
4. 2130
Which expression equals 5.6?
1. \(0.56 \times 10\)
2. \(0.56 \times 100\)
3. \(56 \times 10\)
4. \(560 \times 10\)
What is \(0.08 \times 10\)?
1. 0.8
2. 0.008
3. 8
4. 80

Teacher and parent reference

Answer key and explanations

C. 47
Multiplying by 10 moves the decimal point 1 place to the right: \(4.7 \times 10 = 47\).
C. 4.5
Multiplying by 10 moves the decimal point 1 place to the right: \(0.45 \times 10 = 4.5\).
D. 45
Multiplying by 100 moves the decimal point 2 places to the right: \(0.45 \times 100 = 45\).
B. 450
Multiplying by 1000 moves the decimal point 3 places to the right: \(0.45 \times 1000 = 450\).
D. Ones
Multiplying by 10 moves each digit one place to the left, so 3 moves from tenths to ones place.
C. 21.3
Move the decimal point 1 place right: \(2.13 \times 10 = 21.3\).
A. \(0.56 \times 10\)
\(0.56 \times 10 = 5.6\) (decimal moves 1 place right).
A. 0.8
Move the decimal 1 place right: \(0.08 \times 10 = 0.8\).