mr barton maths

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Multiplying and dividing by 10, 100, 1000

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Foundational skills
Effect of ×10 on place value
\[ 3.45 \times 10 \]
Identify which column a digit moves to when multiplied by 10.
Effect of ÷10 on place value
\[ 456 \div 10 \]
Identify which column a digit moves to when divided by 10.
Multiplying integers
Multiply integer by 10
\[ 47 \times 10 \]
Multiply a whole number by 10.
Multiply integer by 100
\[ 47 \times 100 \]
Multiply a whole number by 100.
Multiply integer by 1000
\[ 47 \times 1000 \]
Multiply a whole number by 1000.
Dividing integers (Whole Answer)
Divide by 10
\[ 80 \div 10 \]
Divide a multiple of 10 by 10.
Divide by 100
\[ 500 \div 100 \]
Divide a multiple of 100 by 100.
Divide by 1000
\[ 5000 \div 1000 \]
Divide a multiple of 1000 by 1000.
Dividing integers (Decimal Answer ≥ 1)
Divide by 10
\[ 47 \div 10 \]
Divide integer by 10 (decimal result).
Divide by 100
\[ 347 \div 100 \]
Divide integer by 100 (decimal result).
Divide by 1000
\[ 3456 \div 1000 \]
Divide integer by 1000 (decimal result).
Dividing integers (Decimal Answer < 1)
Divide single digit by 10
\[ 7 \div 10 \]
Divide single digit by 10 (0.X).
Divide 2-digits by 100
\[ 23 \div 100 \]
Divide 2-digit number by 100 (0.XX).
Divide single digit by 100
\[ 7 \div 100 \]
Divide single digit by 100 (0.0X).
Divide 3-digits by 1000
\[ 456 \div 1000 \]
Divide 3-digit number by 1000 (0.XXX).
Divide 2-digits by 1000
\[ 56 \div 1000 \]
Divide 2-digit number by 1000 (0.0XX).
Divide single digit by 1000
\[ 7 \div 1000 \]
Divide single digit by 1000 (0.00X).
Multiplying decimals
1dp Decimal × 10
\[ 3.4 \times 10 \]
Result is an exact integer.
1dp Decimal × 100
\[ 3.4 \times 100 \]
Result is integer ending in 0.
1dp Decimal × 1000
\[ 3.4 \times 1000 \]
Result is integer ending in 00.
2dp Decimal × 10
\[ 3.45 \times 10 \]
Result is still a decimal.
2dp Decimal × 100
\[ 3.45 \times 100 \]
Result is an exact integer.
2dp Decimal × 1000
\[ 3.45 \times 1000 \]
Result is integer ending in 0.
3dp Decimal × 10
\[ 3.456 \times 10 \]
Result is still a decimal.
3dp Decimal × 100
\[ 3.456 \times 100 \]
Result is still a decimal.
3dp Decimal × 1000
\[ 3.456 \times 1000 \]
Result is an exact integer.
Multiplying small decimals
Multiply decimal < 1
\[ 0.5 \times 10 \]
Result becomes an integer.
0.XX × 10
\[ 0.45 \times 10 \]
Result ≥ 1 with decimal.
Small decimal × 10
\[ 0.045 \times 10 \]
Result stays < 1.
0.XXX × 100
\[ 0.456 \times 100 \]
Result ≥ 1 with decimal.
Tiny decimal × 100
\[ 0.0045 \times 100 \]
Result stays < 1.
Dividing decimals
Divide decimal ≥ 1 by 10
\[ 4.5 \div 10 \]
Divide a decimal by 10.
Divide decimal ≥ 1 by 100
\[ 4.5 \div 100 \]
Divide a decimal by 100.
Divide decimal ≥ 1 by 1000
\[ 4.5 \div 1000 \]
Divide a decimal by 1000.
Divide small decimal
\[ 0.5 \div 10 \]
Divide 0.X by power of 10.
Special cases
Missing number (×)
\[ ? \times 10 = 45 \]
Find missing number in multiplication.
Missing number (÷)
\[ ? \div 100 = 0.34 \]
Find missing number in division.
Identify operation
\[ 34 \rightarrow 3.4 \]
Identify operation and power used.
Timer (Optional)
Question