Operations

Question 1

Rational expressions

Answer 1

A fraction with a polynomial in the numerator, denominator or both

Question 2

Radicand

Answer 2

The number under the radical symbol

Question 3

Algorithm: column division

Answer 3

I’ll do them for solving division separate the problem into columns and work with each place value separately

Question 4

Algorithm: opposite change rule

Answer 4

Algorithm for solving addition. Add a number to one addend to make a number ending in zero and subtract the same amount from the other addend

Question 5

Algorithm: lattice multiplication

Answer 5

Algorithm for solving multiplication. Draw a lattice with diagonals in each box right one factor across the top and one along the right side multiply each number and write the answer in the box with the tens digit on top add the diagonals beginning in the bottom right corner if the sum is greater than 10 move the one to the next diagonal the answer will be along the left side and bottom

Question 6

Exponents

Answer 6

Indicate repeated multiplication and are written above and after the number in question in the form: X^n where n represents the number of times multiplication is repeated

Question 7

Rationalize

Answer 7

The process of eliminating a radicals or imaginary number from the denominator of an algebraic fraction

Question 8

Distributive property

Answer 8

A number in front of a group of terms will multiply all terms in the grouping individually

Question 9

Algorithm: left to right subtraction

Answer 9

Algorithm for solving subtraction. Subtract each place value separately beginning with the largest and working to the smallest

Question 10

Algorithm

Answer 10

I specific set of steps that allows the user to reach the correct answer every time

Question 11

Polynomial

Answer 11

An expression with one or more term terms may include exponents that may only be hold numbers and may not include division by variable

Question 12

Algorithm: partial Sums addition

Answer 12

Algorithm for solving addition. At each place value separately and then find the total

Question 13

Algorithm: partial products

Answer 13

Algorithm for solving multiplication. Expand each factor in to hundreds, tens, ones, etc. and then multiply and add

Question 14

Algorithm: modified repeated addition

Answer 14

Algorithm for solving multiplication. Using the concept that multiplication is repeated addition, students use base 10 numbers to multiply and add

Question 15

Algorithm: trade first

Answer 15

Algorithm for solving subtraction. Align numbers vertically based on place value and then ensure all top numbers are equal or larger than the bottom numbers

Question 16

Associative property

Answer 16

An operation is associated with regrouping the terms does not change the outcome

Question 17

Algorithm: column addition

Answer 17

Algorithm for solving addition. Align numbers based on place value and then add each column

Question 18

Algorithms: partial quotients

Answer 18

Algorithm for solving division. First estimate the answer using base 10 numbers and then keep estimating until the remainder is less than the dividend

Question 19

Algorithm: same change rule

Answer 19

Algorithm for solving subtraction. Add or subtract the same amount from both numerals and then subtract

Question 20

Algorithm: counting up

Answer 20

Algorithm for solving subtraction start with the number that is being subtracted and count up to the original amount with each step looking for the next base 10 number

Question 21

Commutative property

Answer 21

An operation is commutative if changing the order of terms does not change the outcome