set 3 decimal place value and rounding decimals
fill in the blanks.
1
is 10 times 0.07.
2
is (10^3) times 0.0003.
3
is (\frac{1}{10}) of 0.002.
4
is (10^4) times 0.00025
round to the nearest hundredth.
5 4.157
6 349.332
7 21.034
8 6.976
round to the nearest tenth.
9 27.371
10 792.42
11 5.948
12 0.168
set 4 add and subtract decimals
add or subtract. show your work.
1 (2.34 + 3.1 + 0.09)
2 (11.52 - 5.74)
3 (8.5 + 3.08)
4 (14 - 6.73)
5 (12.45 - 3.2)
6 (10.09 + 6.33)

Question

set 3 decimal place value and rounding decimals
fill in the blanks.
1
 is 10 times 0.07.
2
 is (10^3) times 0.0003.
3
 is (\frac{1}{10}) of 0.002.
4
 is (10^4) times 0.00025
round to the nearest hundredth.
5 4.157
6 349.332
7 21.034
8 6.976
round to the nearest tenth.
9 27.371
10 792.42
11 5.948
12 0.168
set 4 add and subtract decimals
add or subtract. show your work.
1 (2.34 + 3.1 + 0.09)
2 (11.52 - 5.74)
3 (8.5 + 3.08)
4 (14 - 6.73)
5 (12.45 - 3.2)
6 (10.09 + 6.33)

Accepted Answer

### Set 3: Decimal Place Value and Rounding Decimals #### Fill in the blanks 1. # Explanation: ## Step1: Multiply 0.07 by 10 $0.07 imes10 = 0.7$ # Answer: 0.7 2. # Explanation: ## Step1: Multiply 0.0003 by $10^3$ (which is 1000) $0.0003 imes10^3 = 0.0003 imes1000 = 0.3$ # Answer: 0.3 3. # Explanation: ## Step1: Multiply 0.002 by $\frac{1}{10}$ $0.002 imes\frac{1}{10}=0.002\div10 = 0.0002$ # Answer: 0.0002 4. (Assuming the number is 0.00025, and $10^4$ times it) # Explanation: ## Step1: Multiply 0.00025 by $10^4$ (which is 10000) $0.00025 imes10^4=0.00025 imes10000 = 2.5$ # Answer: 2.5 #### Round to the nearest hundredth 5. For 4.157 # Explanation: ## Step1: Look at the thousandth place (7). Since 7 > 5, round up the hundredth place. The hundredth place is 5, so $4.15 + 0.01=4.16$ # Answer: 4.16 6. For 349.332 # Explanation: ## Step1: Look at the thousandth place (2). Since 2 < 5, keep the hundredth place as is. # Answer: 349.33 7. For 21.034 # Explanation: ## Step1: Look at the thousandth place (4). Since 4 < 5, keep the hundredth place as is. # Answer: 21.03 8. For 6.976 # Explanation: ## Step1: Look at the thousandth place (6). Since 6 > 5, round up the hundredth place. The hundredth place is 7, so $6.97+0.01 = 6.98$ # Answer: 6.98 #### Round to the nearest tenth 9. For 27.371 # Explanation: ## Step1: Look at the hundredth place (7). Since 7 > 5, round up the tenth place. The tenth place is 3, so $27.3 + 0.1=27.4$ # Answer: 27.4 10. For 792.42 # Explanation: ## Step1: Look at the hundredth place (2). Since 2 < 5, keep the tenth place as is. # Answer: 792.4 11. For 5.948 # Explanation: ## Step1: Look at the hundredth place (4). Since 4 < 5, keep the tenth place as is? Wait, no, wait: Wait, the tenth place is 9, hundredth is 4. Wait, no, 5.948: tenth is 9, hundredth is 4. Wait, no, when rounding to the nearest tenth, we look at the hundredth digit. 4 < 5, so we keep the tenth digit? But 5.948, the tenth is 9, hundredth is 4. Wait, no, 5.948: the number is 5.9 (tenth) and 0.048 (hundredth and thousandth). Since 4 < 5, we keep the tenth as 9? Wait, no, 5.948 rounded to the nearest tenth: the rule is look at the digit in the hundredth place (4). Since 4 < 5, we round down, so it's 5.9? Wait, no, wait, 5.948: 5.9 (tenth) + 0.048. The hundredth digit is 4, so we don't round up the tenth. So 5.9? Wait, but 5.948 is closer to 5.9 or 6.0? Wait, no, tenth place is 9, hundredth is 4. So 5.948 rounded to the nearest tenth: 5.9 (because 0.048 < 0.05, so we don't add 0.1 to 0.9). Wait, but 5.9 + 0.1 is 6.0, but since the hundredth is 4, we keep it as 5.9? Wait, no, I think I made a mistake earlier. Let's re - calculate: The number is 5.948. To round to the nearest tenth, we look at the hundredth digit (4). Since 4 < 5, we round down, so the tenth digit remains 9, and the rest are dropped. So 5.9? Wait, no, 5.948: the tenths place is 9, hundredths is 4, thousandths is 8. So when rounding to the nearest tenth, we consider the hundredths digit. 4 is less than 5, so we don't round up the tenths place. So 5.9? Wait, but 5.948 is 5.9 + 0.048. So the nearest tenth is 5.9? Wait, no, 5.948 is closer to 5.9 than 6.0? Wait, 5.9 to 5.948 is 0.048, and 6.0 - 5.948 is 0.052. So yes, closer to 5.9. So the answer is 5.9? Wait, but earlier I thought maybe I messed up. Let's correct: ## Step1: Identify the digit in the hundredth place (4). ## Step2: Since 4 < 5, we round down, so the number rounded to the nearest tenth is 5.9. # Answer: 5.9 12. For 0.168 # Explanation: ## Step1: Look at the hundredth place (6). Since 6 > 5, round up the tenth place. The tenth place is 1, so $0.1+0.1 = 0.2$? Wait, no: 0.168. Tenth place is 1, hundredth is 6. So we look at the hundredth digit (6). Since 6 > 5, we round up the tenth digit. So 0.1 + 0.1=0.2? Wait, no, 0.168: the tenth digit is 1, hundredth is 6. So when we round up the tenth digit, 1 becomes 2? Wait, no, 0.168 rounded to the nearest tenth: the rule is that if the hundredth digit is 5 or more, we add 0.1 to the tenth digit. So 0.1 (tenth) + 0.1 (because hundredth is 6 > 5) = 0.2? Wait, no, 0.1 + 0.1 is 0.2? Wait, 0.168: the tenths place is 1, hundredths is 6. So we round up the tenths place: 1 + 1 (in the tenths place) is 2? Wait, no, the tenths place is the first decimal place. So 0.168: Tenths place: 1 Hundredths place: 6 Since 6 ≥ 5, we round up the tenths place: 1 + 0.1 = 0.2? Wait, no, the tenths digit is 1, so adding 0.1 to the tenths place: 1 (in the tenths place) becomes 2? Wait, no, 0.1 + 0.1 is 0.2. So 0.168 rounded to the nearest tenth is 0.2. ## Step1: Look at the hundredth place (6). Since 6 > 5, round up the tenth place. # Answer: 0.2 ### Set 4: Add and Subtract Decimals #### Add or Subtract. Show your work. 1. $2.34 + 3.1+0.09$ # Explanation: ## Step1: Add 2.34 and 3.1 first. $2.34+3.1 = 5.44$ ## Step2: Add 0.09 to the result. $5.44 + 0.09=5.53$ # Answer: 5.53 2. $11.52−5.74$ # Explanation: ## Step1: Subtract 5.74 from 11.52. $11.52 - 5.74=5.78$ # Answer: 5.78 3. $8.5 + 3.08$ # Explanation: ## Step1: Align the decimals and add. $8.50+3.08 = 11.58$ # Answer: 11.58 4. $14−6.73$ # Explanation: ## Step1: Rewrite 14 as 14.00. ## Step2: Subtract 6.73 from 14.00. $14.00 - 6.73 = 7.27$ # Answer: 7.27 5. $12.45−3.2$ # Explanation: ## Step1: Rewrite 3.2 as 3.20. ## Step2: Subtract 3.20 from 12.45. $12.45 - 3.20=9.25$ # Answer: 9.25 6. $10.09+6.33$ # Explanation: ## Step1: Add 10.09 and 6.33. $10.09+6.33 = 16.42$ # Answer: 16.42

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QUESTION IMAGE

Question

Explanation:

Set 3: Decimal Place Value and Rounding Decimals

Fill in the blanks

Step1: Multiply 0.07 by 10

Step1: Multiply 0.0003 by $10^3$ (which is 1000)

Step1: Multiply 0.002 by $\frac{1}{10}$

Answer: