1. Order these integers: -100, 125, -111, 0, 90. 2. Add these integers: 15 + 9. 3. Round these numbers to the nearest 100: 12 + 48. 4. Round this number to the nearest 10: 2.16. 5.... 1. Order these integers: -100, 125, -111, 0, 90. 2. Add these integers: 15 + 9. 3. Round these numbers to the nearest 100: 12 + 48. 4. Round this number to the nearest 10: 2.16. 5. Round the following number 3482 to the following powers of 10: a) 10^2, b) 10^3, c) 10^4. 6. Multiply these numbers and show your workings: 85 x 3, 732 x 12, 8910 x 462.
Understand the Problem
The question involves several math problems related to ordering integers, addition, rounding numbers, and multiplication. It appears to be part of a math exercise focused on basic arithmetic and number operations.
Answer
- Ordered integers: -111, -100, 0, 90, 125. - Additions completed as detailed, estimated sum $4300$. - Rounding results: $3500$, $3000$, $0$. - Multiplications: $255$, $8784$, $4,128,420$.
Answer for screen readers
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Ordered integers: -111, -100, 0, 90, 125
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Additions:
- $15 + 9 = 24$
- $-4 - 31 = -35$
- $-18 + 13 = -5$
- $19 - 3 = 16$
- $-22 - 6 = -28$
- $-181 - 24 = -205$
- $24 - 108 = -84$
- $8 - 4 = 4$
- $-16 - 5 = -21$
- $-24 + 9 = -15$
- $27 - 39 = -12$
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Estimated sum: $4300$
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Rounding: a) $3482 \approx 3500$ (to nearest 100) b) $3482 \approx 3000$ (to nearest 1000) c) $3482 \approx 0$ (to nearest 10000)
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Rounding Results: a) $2.16 \approx 2.2$ b) $12.09 \approx 12.1$ c) $3.769 \approx 3.77$ d) $112.622 \approx 112.62$
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Multiplications: a) $85 \times 3 = 255$ b) $732 \times 12 = 8784$ c) $8910 \times 462 = 4,128,420$
Steps to Solve
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Ordering the Integers To order the integers, we list them from the smallest to the largest:
- The integers are: -100, -111, 0, 90, 125.
- Ordered list: -111, -100, 0, 90, 125.
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Adding the Integers We will perform the addition step by step. a) For $15 + 9$: $$ 15 + 9 = 24 $$
b) For $-4 + (-31)$: $$ -4 - 31 = -35 $$
c) For $-18 + 13$: $$ -18 + 13 = -5 $$
d) For $19 - 3$: $$ 19 - 3 = 16 $$
e) For $-22 - 6$: $$ -22 - 6 = -28 $$
f) For $-181 - 24$: $$ -181 - 24 = -205 $$
g) For $24 - 108$: $$ 24 - 108 = -84 $$
h) For $8 - 4$: $$ 8 - 4 = 4 $$
i) For $-16 - 5$: $$ -16 - 5 = -21 $$
j) For $-24 - (-9)$: $$ -24 + 9 = -15 $$
k) For $27 - 39$: $$ 27 - 39 = -12 $$
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Estimation and Rounding For $1497 + 2765$, we round each number:
- $1497 \approx 1500$
- $2765 \approx 2800$
Add the rounded numbers: $$1500 + 2800 = 4300$$
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Rounding the Number 3482 a) To the nearest $10^2$ (100):
- $3482$ rounded to nearest hundred is $3500$.
b) To the nearest $10^3$ (1000):
- $3482$ rounded to nearest thousand is $3000$.
c) To the nearest $10^4$ (10000):
- $3482$ rounded to nearest ten thousand is $0$.
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Rounding Numbers a) For $2.16$, rounded to nearest tenths:
- Rounded result is $2.2$.
b) For $12.09$, rounded to nearest tenth:
- Rounded result is $12.1$.
c) For $3.769$, rounded to nearest hundredth:
- Rounded result is $3.77$.
d) For $112.622$, rounded to nearest hundredth:
- Rounded result is $112.62$.
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Multiplying Numbers a) For $85 \times 3$: $$ 85 \times 3 = 255 $$
b) For $732 \times 12$: $$ 732 \times 12 = 8784 $$
c) For $8910 \times 462$: $$ 8910 \times 462 = 412,1820 $$
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Ordered integers: -111, -100, 0, 90, 125
-
Additions:
- $15 + 9 = 24$
- $-4 - 31 = -35$
- $-18 + 13 = -5$
- $19 - 3 = 16$
- $-22 - 6 = -28$
- $-181 - 24 = -205$
- $24 - 108 = -84$
- $8 - 4 = 4$
- $-16 - 5 = -21$
- $-24 + 9 = -15$
- $27 - 39 = -12$
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Estimated sum: $4300$
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Rounding: a) $3482 \approx 3500$ (to nearest 100) b) $3482 \approx 3000$ (to nearest 1000) c) $3482 \approx 0$ (to nearest 10000)
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Rounding Results: a) $2.16 \approx 2.2$ b) $12.09 \approx 12.1$ c) $3.769 \approx 3.77$ d) $112.622 \approx 112.62$
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Multiplications: a) $85 \times 3 = 255$ b) $732 \times 12 = 8784$ c) $8910 \times 462 = 4,128,420$
More Information
This exercise helps reinforce basic arithmetic operations such as ordering, addition, rounding, and multiplication. Mastery of these skills is crucial for more advanced mathematics.
Tips
- Confusing the order of integers, ensure you're comparing accurately.
- Miscalculating negative additions or subtractions; it’s key to remember that subtracting a negative number is addition.
- Rounding errors can occur when estimating; clarify which place value you're rounding to.
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