Math Study Guide - Week 15 (9B)

Which digit in 14.376 has the same place value as the 9 in 2.95?

3 3 tenths = 0.3 The 9 in 2.95 is in the tenths place

Write 3% as a fraction. Remember to use a slash when writing a fraction.

3/100 The percent sign % means out of a 100, so the denominator will be 100.

What is the least common multiple (LCM) of 12 and 9?

36 To find the Least Common Multiple, skip count until you find a match. 12: 12, 24, 36, 48, 60 9: 9, 18, 27, 36 36 is the LCM of 12 and 9

A $40 pair of shoes is on sale for 25% off the regular price. How much money is 25% of $40? (Hint: rewrite 25% as a fraction and multiply the fraction by the original price)

$10 25% = 25/100 = 1/4 Find 1/4 of $40 40 ÷ 4 = 10 The discount is $10 off the original price

0.24 x 0.12

0.0288 When multiplying decimals, pretend they are whole. 24 x 12 = 288 Now count the decimal place values in the problem. There are four decimal place values, so move the decimal four times to the left. 0.24 x 0.12 = 0.0288

Write 3% as a decimal numeral.

0.03 ( three hundredths ) 3% = 3/100 = 0.03

5.0 ÷ 8

0.625 Using long division, 5.0 is on the inside and 8 wholes is on the outside. Keep bringing down zeros until you have fully divided 8 into 5 with zero left over.

If the perimeter of a square is 80 centimeters, how long is each side?

20 centimeters. A sides of a square are equal length. To find a side length, divide the perimeter by the amount of sides. 80 centimeters ÷ 4 sides = 20 centimeters per side

1/3 x 3/9. Reduce/simplify the answer.

1/9 1/3 x 3/9 = 3/27 3/27 needs to be reduced. The GCF of 3 and 27 is 3. Divide 3 and 27 by 3 to reduce. 3 ÷ 3 = 1 27 ÷ 3 = 9 3/27 = 1/9

What is the area of a rectangle that has a length of 11 ft and width of 12 ft?

132 square feet or 132 sq. ft. Area = length x width Area = 11 ft x 12 ft Area = 132 sq. ft.

Write the decimal numeral for fourteen and six hundredths.

14.06

7.2 + 8 + 0.58

15.78 7.20 8.00 0.58 = 15.78

2 3/5 + √4 (two and three-fifth plus the square root of four)

4 3/5 The √4 = 2 because 2 x 2 = 4 2 3/5 + 2 = 4 3/5

0.56 + m = 5

4.44 To find the missing addend, use subtraction. m = 5 - 0.56 m = 4.44

How many 3/5's are in 1. (How many times does 3/5 fit into 1 whole?)

5/3 To find how many times any fraction or whole number fits into 1 whole, do the reciprocal. The reciprocal of 3/5 is 5/3.

What is the product of the sum of 9 and 2 and the difference of 9 and 2?

77 Sum x Difference 9 + 2 = 11 9 - 2 = 7 11 x 7 = 77

4 3/5 + 3 2/5 (Simplify your answer)

8 4 3/5 + 3 2/5 = 7 + 3/5 + 2/5 = 7 + 5/5 = 7 + 1 = 8

2/3 = ?/12 (What fraction is equivalent 2/3 with twelve as the denominator?)

8 is the missing numerator Looking at the denominators, 3 times the factor of 4 will get you 12. So do the numerator times the factor of 4 too 2/3 x 4/4 = 8/12

What is 3/8 of two dozen?

9 1 dozen = 12, so two dozen is 24. Find 3/8 of 24 24 ÷ 8 = 3 3 x 3 = 9 3/8 of 24 is 9

Radius

The distance from the center of a circle to any point on the circle