Abeka 6th Grade Math Test #6 (Pages 95-108) practice questions and answers 2024

Addition Add the addends together from the top downward to get the sum. To check: Add the addends upward to get the sum. Subtraction Subtract the subtrahend from the minuend to get the difference. To check: Add the subtrahend and the difference. Brainpower Read More Previous Play Next Rewind 10 seconds Move forward 10 seconds Unmute 0:01 / 0:15 Full screen Multiplication Multiply the factors together to get the product. If a the bottom factor has more than one digit, you will have two or more partial products that must be added together. To check: Switch the factors and multiply again. Division Divide the dividend by the divisor to get the quotient. To check: Multiply the quotient by the divisor and add the remainder. Decimal A number with one or more digits to the right of the decimal point. it is another way of writing fractions. Decimal Point It separates the whole number from the decimal. Mixed Decimal It contains a whole number and a decimal. Comparing Decimals To determine which decimal is greater in value, change the name by adding or dropping zeros at the end of the number. Then compare the value of the digits in each of the place values, beginning with the greatest place value. Adding Decimals Align the decimal points and add as you normally would. Add or drop zeros at the end of the numbers if necessary. Subtracting Decimals Align decimal points and subtract like you normally would. Add or drop zeros at the end of the numbers if necessary. Multiplying Decimals Ignore the decimal point until the answer. Multiply normally. Then count the number of decimal places in each factors. Use the total number of decimal places in the factor in the product. Dividing Decimals with Whole Numbers Place the decimal point directly above on the division box/in the quotient. Divide normally. Dividing Decimals with a Decimal Divisor Move the decimal point in the divisor to the end of the number. Then move the decimal in the dividend the same amount of times as the divisor. Place the decimal on the quotient line and divide normally. Fraction-Decimal Equivalents 1/2 = .5 1/4 = .25 3/4 = .75 1/5 =.2 2/5 = .4 3/5 = .6 4/5 = .8 1/8 = .125 3/8 = .375 5/8 = .625 7/8 = .875 1/3 = .333... 2/3 = .666... 1/6 = .16666... 5/6 = .83333... How do you find a fraction-decimal equivalent? Divide the numerator by the denominator. If the quotient is repeating use ... or place a line over the repeating number(s). How do you find a decimal-fraction equivalent? Place the decimal over the place it is in (.43 = 43/100) (.5 = 5/10) and reduce. Or use the shortcuts memorized. Rounding Off Decimals Look at the digit to the right of the digit being rounded to. If the digit is less than 5, drop it and all the digits following to 0's. If it is 5 or greater, raise the number by 1 and drop the following to 0's. How to add fractions: To add fractions having a common (same) denominator, keep the common denominator and add the numerators. How to subtract fractions: To subtract fractions having a common denominator, keep the common denominator and subtract the numerators. LCD Least Common Denominator How to match denominators for addition and subtraction: Find the the LCD for both denominators. Multiply both the numerator and denominator by the factor needed to reach the LCD. How to multiply fractions: Multiply the numerators together to get a product numerator. Then multiply the denominators together to get a product denominator. Then reduce. How to multiply fractions using cancellation: Compare the numerator of the first fraction to the denominator of the second fraction to see if they have a common factor. Divide by the common factor until they are as low as they can go. Then compare the numerator of second fraction to the denominator of the first fraction to see if they have a common factor. Divide by the common factor until they are as low as they can go as well. Finally, multiply normally. How to divide fractions: KEEP the first fraction normal. CHANGE the division sign to a multiplication sign FLIP the second fraction upside down. Finally, multiply normally. Subtract from 100%: Simply subtract the given percent from 100%.