QUESTION IMAGE
Question
vocabulary
choose the correct term from the vocabulary box.
1 a ______ of 10 is any product that has 10 as one of its factors.
2 to find 4 × 7, i can use a 2x fact and ______ the product.
3 a ______ is a number being multiplied.
4 pairs of addends that are the same are ______.
vocabulary
aug
double
doubles
factor
multipule
multiply
product
Question 1
We need to find the term for a product with 10 as a factor. The vocabulary term "multiple" fits as a multiple of a number is a product with that number as a factor.
Step 1: Analyze the definition
A multiple of a number is a product where that number is a factor. For example, 20 is a multiple of 10 (since \(20 = 10\times2\)).
Step 2: Match with vocabulary
From the vocabulary box, "multiple" is the term that means a product with 10 as one of its factors.
To find \(4\times7\), if we use a \(2\times\) fact (like \(2\times7 = 14\)), we need to double that product to get \(4\times7\) (since \(4 = 2\times2\), so \(4\times7=(2\times2)\times7 = 2\times(2\times7)\), which is doubling the product of \(2\times7\)).
Step 1: Recall the relationship between 2 and 4
Since \(4 = 2\times2\), the product of \(4\times7\) can be found by first finding \(2\times7\) and then doubling that result (because \(4\times7=(2\times2)\times7 = 2\times(2\times7)\)).
Step 2: Match with vocabulary
The term "double" means to multiply by 2, so we double the product of \(2\times7\) to get \(4\times7\).
A factor is a number that is multiplied in a product. Wait, no, the term for a number being multiplied is a "factor"? Wait, no, in a multiplication expression like \(a\times b\), both \(a\) and \(b\) are called factors (or multiplicands). Wait, the vocabulary box has "factor" and "multiply" and "product". Wait, the definition is "a number being multiplied". So the term is "factor" (or "multiplicand"). But from the vocabulary box, "factor" is a number that divides another number without leaving a remainder, but also, in multiplication, the numbers being multiplied are called factors. Wait, let's check the vocabulary: the options are array, double, addition, factor, multiply, multiple, product. Wait, the correct term for a number being multiplied is "factor" (or "multiplicand"). Let's confirm: in \(3\times4\), 3 and 4 are factors (or multiplicands) being multiplied to get the product 12.
Step 1: Recall the definition
A factor (or multiplicand) is a number that is multiplied in a multiplication operation. For example, in \(5\times6\), 5 and 6 are the factors (numbers being multiplied).
Step 2: Match with vocabulary
From the vocabulary box, "factor" is the term that refers to a number being multiplied.
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