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base (arithmetic)
A number used as a repeated factor.
Example: 83= 8 x 8 x 8. The base is 8. |
Distributive Property
The property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products
Example: 14 × 21 = 14 × (20 + 1) = (14 × 20) + (14 × 1) |
exponent
A number that shows how many times the base is used as a factor
Example: The exponent is 3, indicating that 8 is used as a factor 3 times. |
factor
A number multiplied by another number to find a product.
Example: 4 4 × 7 = 28 × 7 28 The factors are 4 and 7. |
multiply
When you combine equal groups, you can multiply to find how many in all; the opposite operation of division.
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period
Each group of three digits separated
by commas in a multidigit number Example: Period Period Period Millions Thousands Ones Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones 8 5, 6 4 3, 9 0 0 85,643,900 has three periods. |
place value
The value of a place, such as ones or tens, in a number.
Example: |
product
The answer to a multiplication problem
Example: 6 6 × 2 = 12 × 2 12 The product is 12. |
estimate
To find a number that is close to an exact amount
Example: |
inverse operations
Operations that undo each other,
like addition and subtraction or multiplication and division. Examples: 5 + 4 = 9, so 9 – 4 = 5 3 × 4 = 12, so 12 ÷ 4 = 3 |
quotient
The number, not including the remainder, that results from dividing
Example: 35 ÷ 5 = 7 The quotient is 7. |
numerical expression
A mathematical phrase that uses only numbers and operation symbols.
Examples: 60 + 25 42 ÷ 7 51 × 36 |
order of operation
A special set of rules which gives the order in which calculations are done in an expression.
1. Do the operations inside parentheses. 2. Multiply and divide from left to right. 3. Add and subtract from left to right. Example: |
Math
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dividend
The number that is to be divided in a division problem
Example: 35 ÷ 5 = 7 The dividend is 35. |
divisor
The number that divides the dividend.
Example: 18 ÷ 3 = 6 The divisor is 3. |
remainder
The amount left over when a number cannot be divided equally.
Example: |
partial quotient
A method of dividing in which multiples of the divisor are subtracted from the dividend and then the quotients are added together.
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compatible numbers
Numbers that are easy to compute mentally.
Example: Estimate 4,126 ÷ 8. Think: 40 and 8 are compatible numbers. 4,126 ÷ 8 4,1 4,000 ÷ 8 = 500 So, 4,126 ÷ 8 is about 500. |
term
A number in a sequence
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