Name: Number: Number and Operations in Base Ten Key

Transcription

1 Name: Number: Number and Operations in Base Ten Key

2 1.1 Multiplying and Dividing by Powers of Ten 8 x (6 + 3) = (13-7) = 2 9 x (5 3) 2 = 9 3 x (2 + 4) (9-3) = 12 Write the numbers in the table: 24,438. Thousands Ones Hundreds Tens Ones Hundreds Tens Ones Complete each sentence. In the number 24,438, the number 4 in the thousands place is 10 times as much as the 4 in the hundreds place. In the number 24,438, the number 4 in the hundreds place is 1/10 the value of the 4 in the thousands place. Andrea wrote the number 897,747. How does the value of the 7 in the thousands place compare to the value of 7 in the hundreds place? The 7 in the thousands place is 1/10 the value of the 7 in the hundreds place. Lauren wrote the number 922,221. How does the value of the 2 in the tens place compare to the value of 2 in the hundreds place? The 2 in the tens place is 10 times as much as the 2 in the hundreds place.

3 1.2 Multiplying and Dividing by Powers of Ten (12 x 4) = 31 [10 + (11-5)] x 2 = (9-2) = 9 10 x (2 + 7) = 90 Multiply or divide. 93 x = 10 x 10 x 10 = x 1000 = 93, = 10 x 10 x 10 = = = 10 x 10 = = x = 10 x 10 = x 100 = 7, x 10 2 = = x 10 4 = 52, = Breanna multiplied 94 by a power of ten. She got 94,000. By what power of ten did Breanna multiply 94? 10 3 David multiplied 73 by a power of ten. He got 7,300. By what power of ten did David multiply 73? 10 2

4 2.1 Using Place Value to Read and Write Decimals (15-7) x 2-9 = 7 [13 - (9 + 1)] x 6 = (12-4) = 9 5 x (15-4) = 55 Write the number name and the expanded form for each decimal Number name: twenty-eight and three hundred forty-five thousandths. Expanded form: (2 x 10) + (8 x 1) + (3 x ) + (4 x ) + (5 x ) Number name: forty-two and ninety-one hundredths. Expanded form: (4 x 10) + (2 x 1) + (9 x ) + (1 x ) Number name: five hundred twenty-eight thousandths. Expanded form: (5 x ) + (2 x ) + (8 x ). 7.2 Number name: seven and two tenths. Expanded form: (7 x 1) + (2 x ). Elena s grandma s house is 2, miles away. What is this decimal in expanded form? (2 x 1000) + (3 x 100) + (2 x 10) + (1 x 1) + (8 x ) + (7 x ) + (9 x ).

5 2.2 Using Place Value to Read and Write Decimals (4 x 3) + (6 x 6) = 48 (8-2) x 5 = 30 8 x (96 12) = (4 x 2) = 7 Write each decimal. Twelve hundredths 0.12 One and ninety-three thousandths Eighty-seven and three tenths 87.3 Three hundred and sixty-four hundredths (5 x 10) + (3 x 1) + (9 x ) + (2 x ) + (5 x ) (3 x 1) + (1 x ) + (8 x ) + (4 x ) (9 x 100) (4 x 10) + (5 x 1) + (3 x ) + (2 x ) (7 x 10) + (6 x 1) + (1 x ) 76.1 Joe s odometer reads 9, miles on his car. What is this decimal in expanded form? (9 x 1000) + (4 x 100) + (6 x 10) + (8 x 1) + (9 x ) + (1 x ).

6 Number and Operations in Base Ten 3.1 Comparing Decimals 11 x (4 + 5) = 99 (14 2) x 5 = 35 (6 x 6) = 27 [8 + (13-5)] 4 = 4 Compare. Write >, <, or =. > < = > > < = = > > Belle and David both opened savings accounts at the same time. So far, Belle has saved $ and David has saved $ What has saved the greater amount so far? Belle has saved the greater amount so far.

7 3.2 Comparing Decimals 9 x (2-1) = 9 (24 8) x 9 = 27 (6 x 2) = 19 [5 + (2 x 4)] - 3 = 10 Put the decimals in order from least to greatest. 0.47, 0.5, 0.53,.489, ,.489, 0.5, 0.53, , 0.495, 0.36, 0.947,.24.24, 0.36, 0.36, 0.495, , 0.89,.539, 0.26, , 0.397,.539, 0.548, , 0.502, 0.028, 0.32, , 0.32, 0.502, 0.834, , 0.018, 0.193,.072, ,.072, 0.193, 0.368, , 1.5, 1.08, 1.384, , 1.384, 1.45, 1.5, 2 What happens to the value of a number if it is moved one place value to the right? The value decreases. Ava measured the growth of her plants in her science experiment. Her first plant was cm tall. Her second plant was cm tall. Which of one of her plants grew the tallest? Ava s second plant is the tallest.

8 4.1 Rounding Decimals Using Place Value (9-6) x 4-2 = 10 [15 - (8 + 2)] x 9 = (15-3) = 9 4 x (8-2) = 24 Round to the nearest hundredth: Round to the nearest tenth: Round to the nearest whole number: Jessica has $ saved. What is $ rounded to the nearest tens place? $ Adam runs at the average speed of miles per hour. What is his average speed to the nearest hundredth place?

9 4.2 Rounding Decimals Using Place Value (2 x 5) x 9-2 = 88 [45 - (4 x 6)] + 7 = (12-1) = 12 7 x (3-3) = 0 Round to the nearest hundredth: Round to the nearest tenth: Round to the nearest whole number: Nancy gave $ to her mom to put in her bank account. What is $ rounded to the nearest hundreds place? $ Bob goes hiking once a month. This month, Bob hiked miles. What is rounded to the nearest hundredths place? 27.40

10 5.1 Multiplying Whole Numbers 4 x (8 + 1) = (12-6) = 6 8 x (8 2) 2 = 24 3 x (4 + 5) (3-1) = 25 Multiply. 59,008 X 6 354,048 3,521 X 4 14, X 24 19,992 5,397 X ,704 Complete the sentence. The product of 327 and 49 is 16,023. Each car at the car dealership costs $22,598. If the dealership sells 8 cars, how much money would the dealership make? $180,784

11 5.2 Multiplying Whole Numbers (9 x 2) + (5 x 3) = 33 (8-4) x 7 = 28 2 x (63 9) = (3 x 2) = 7 Multiply. 67,349 X 3 202,047 8,389 X , X 54 13,554 4,746 X 8 37,968 Complete the sentence. The product of 13,845 and 9 is 124,605. A box of chocolate has 14 pieces inside. If there are 3,485 boxes of chocolate, how many pieces of chocolate are there? 48,790

12 6.1 Dividing Whole Numbers (6 x 8) + (2 x 4) = 56 (7-3) x 7 = 28 6 x (64 8) = (5 x 1) = 7 Divide , , ,416 Complete the sentence. 574 X 31 = 17,794 is the opposite of 17, = 31. Michael has 5,022 stickers in his collection. He put 27 stickers on each page of his sticker album. How many pages did he use? 5,022

13 6.2 Dividing Whole Numbers (8 x 3) 4 = 6 (25 5) + (55 5) = (9-3) = 19 (4 x 6) x (9 x 3) = 648 Divide , , ,392 Complete the sentence. 99 X 54 = 5,346 is the opposite of 5, = 54. Aiden has 1,978 dinosaurs. He groups them in groups of 86. How many groups will he have? 1,978

14 7.1 Adding and Subtracting Decimals (66 11) - 4 = 2 (10 2) x (5 x 1) = 25 8 x (24 2) = (5 x 10) = 57 Add or subtract _ Lily drove miles to get to work and miles to get to the store after work. How many miles did Lily drive total? =39.54

15 7.2 Adding and Subtracting Decimals (9 7) + (3 1) = 4 (29 x 0) + 5 = 5 6 x (9 3) = 36 5 x (30 10) = 15 Add or subtract _ Ethan has $ He bought a toy for $ How much money does he have left after he bought his toy? $ $19.38 = $27.54

16 8.1 Multiplying Decimals (15 x 2) 10 = 3 (12 2) x (4 x 6) = 144 [2 + (5 3)] x 4 = (1 x 10) = 29 Multiply X X X X X X Alivia bought 6.3 pounds of apples for $0.60 each pound. How much money did Alivia spend on apples? 6.3 x 0.60 = Alivia spent $3.78 on apples.

17 8.2 Multiplying Decimals (8 x 3) 6 = 4 (36 9) x (3 x 2) = 24 [7 + (2 x 2)] x 4 = (6 x 12) = 111 Multiply X X X X X X Kayla weighs 93.4 pounds. Her mom weighs 1.3 times as much as Kayla weighs. How many pounds does Kayla s mom weigh? 93.4 x 1.3 = Kayla s mom weighs pounds.

18 9.1 Dividing Decimals (9 x 3) + 54 = 81 (10 + 2) x (3 x 4) = x (36 2) = (8 x 3) = 27 Divide Over a 3 day period, Jessica s plant grew 2.34 centimeters. What was the average height Jessica s plant grew each day? = 0.78.

19 9.2 Dividing Decimals (54-19) + 96 = 131 (9 x 9) + (8 x 7) = x (24 12) = (6 x 7) = 58 Divide Trevor drove 629 miles in 8.5 hours. How many miles per hour did he drive? = 74.